Abstract

In this paper, we propose an electrically tunable mid-infrared plasmonic-phononic absorber with omnidirectional and polarization insensitive nearly perfect resonant absorption characteristics. The absorber consists of a graphene/hexagonal boron nitride (hBN)/graphene multilayer on top of a gold bottom reflector separated by a dielectric spacer. The graphene/hBN/graphene multilayer is patterned as a hole array in square lattice. We analytically and numerically prove that, due to the support of hybrid plasmon-phonon-polaritons, nearly perfect multi-resonant absorption peaks with high quality factors are obtained both inside and outside of the Reststrahlen band of hBN. As a result of the hybridization of graphene plasmons with the hyperbolic phonon polaritons of hBN, the high quality resonant absorptions of the metamaterial are almost unaffected by decreasing the phenomenological electron relaxation time of graphene. Moreover, the obtained resonances can be effectively tuned in practice due to the continuity of the graphene layers in the hole array metamaterial. These features make the graphene-hBN metamaterial a skeptical design for practical purposes and mid-infrared multi-functional operations such as sensing.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

Full Article  |  PDF Article

Corrections

7 September 2018: A typographical correction was made to the author affiliations.


OSA Recommended Articles
Nearly perfect resonant absorption and coherent thermal emission by hBN-based photonic crystals

Hodjat Hajian, Amir Ghobadi, Bayram Butun, and Ekmel Ozbay
Opt. Express 25(25) 31970-31987 (2017)

Hybrid plasmon–phonon polariton bands in graphene–hexagonal boron nitride metamaterials [Invited]

Hodjat Hajian, Amir Ghobadi, Sina Abedini Dereshgi, Bayram Butun, and Ekmel Ozbay
J. Opt. Soc. Am. B 34(7) D29-D35 (2017)

Tunable absorption as multi-wavelength at infrared on graphene/hBN/Al grating structure

Qinghui Pan, Guohua Zhang, Ruming Pan, Jiahui Zhang, Yong Shuai, and Heping Tan
Opt. Express 26(14) 18230-18237 (2018)

References

  • View by:
  • |
  • |
  • |

  1. A. Boardman, “Pioneers in metamaterials: John Pendry and Victor Veselago,” J. Opt. 13(2), 020401 (2010).
    [Crossref]
  2. P. Senanayake, C. H. Hung, J. Shapiro, A. Lin, B. Liang, B. S. Williams, and D. L. Huffaker, “Surface plasmon-enhanced nanopillar photodetectors,” Nano Lett. 11(12), 5279–5283 (2011).
    [Crossref] [PubMed]
  3. J. R. Cole and N. J. Halas, “Optimized plasmonic nanoparticle distributions for solar spectrum harvesting,” Appl. Phys. Lett. 89(15), 153120 (2006).
    [Crossref]
  4. A. Lochbaum, Y. Fedoryshyn, A. Dorodnyy, U. Koch, C. Hafner, and J. Leuthold, “On-chip narrowband thermal emitter for mid-IR optical gas sensing,” ACS Photonics 4(6), 1371–1380 (2017).
    [Crossref]
  5. F. A. L. de Souza, R. G. Amorim, W. L. Scopel, and R. H. Scheicher, “Nano-structured interface of graphene and h-BN for sensing applications,” Nanotechnology 27(36), 365503 (2016).
    [Crossref] [PubMed]
  6. K. Chen, R. Adato, and H. Altug, “Dual-band perfect absorber for multispectral plasmon-enhanced infrared spectroscopy,” ACS Nano 6(9), 7998–8006 (2012).
    [Crossref] [PubMed]
  7. N. Mattiucci, M. J. Bloemer, N. Aközbek, and G. D’Aguanno, “Impedance matched thin metamaterials make metals absorbing,” Sci. Rep. 3(1), 3203 (2013).
    [Crossref] [PubMed]
  8. H. Deng, Z. Li, L. Stan, D. Rosenmann, D. Czaplewski, J. Gao, and X. Yang, “Broadband perfect absorber based on one ultrathin layer of refractory metal,” Opt. Lett. 40(11), 2592–2595 (2015).
    [Crossref] [PubMed]
  9. F. Ding, J. Dai, Y. Chen, J. Zhu, Y. Jin, and S. I. Bozhevolnyi, “Broadband near-infrared metamaterial absorbers utilizing highly lossy metals,” Sci. Rep. 6(1), 39445 (2016).
    [Crossref] [PubMed]
  10. M. G. Nielsen, D. K. Gramotnev, A. Pors, O. Albrektsen, and S. I. Bozhevolnyi, “Continuous layer gap plasmon resonators,” Opt. Express 19(20), 19310–19322 (2011).
    [Crossref] [PubMed]
  11. H. T. Chen, “Interference theory of metamaterial perfect absorbers,” Opt. Express 20(7), 7165–7172 (2012).
    [Crossref] [PubMed]
  12. K. Aydin, V. E. Ferry, R. M. Briggs, and H. A. Atwater, “Broadband polarization-independent resonant light absorption using ultrathin plasmonic super absorbers,” Nat. Commun. 2(1), 517 (2011).
    [Crossref] [PubMed]
  13. Y. Bai, L. Zhao, D. Ju, Y. Jiang, and L. Liu, “Wide-angle, polarization-independent and dual-band infrared perfect absorber based on L-shaped metamaterial,” Opt. Express 23(7), 8670–8680 (2015).
    [Crossref] [PubMed]
  14. J. Kim, K. Han, and J. W. Hahn, “Selective dual-band metamaterial perfect absorber for infrared stealth technology,” Sci. Rep. 7(1), 6740 (2017).
    [Crossref] [PubMed]
  15. X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
    [Crossref] [PubMed]
  16. C. Hu, L. Liu, Z. Zhao, X. Chen, and X. Luo, “Mixed plasmons coupling for expanding the bandwidth of near-perfect absorption at visible frequencies,” Opt. Express 17(19), 16745–16749 (2009).
    [Crossref] [PubMed]
  17. M. G. Nielsen, A. Pors, O. Albrektsen, and S. I. Bozhevolnyi, “Efficient absorption of visible radiation by gap plasmon resonators,” Opt. Express 20(12), 13311–13319 (2012).
    [Crossref] [PubMed]
  18. A. Ghobadi, H. Hajian, M. Gokbayrak, S. A. Dereshgi, A. Toprak, B. Butun, and E. Ozbay, “Visible light nearly perfect absorber: an optimum unit cell arrangement for near absolute polarization insensitivity,” Opt. Express 25(22), 27624–27634 (2017).
    [Crossref] [PubMed]
  19. A. Ghobadi, H. Hajian, S. A. Dereshgi, B. Bozok, B. Butun, and E. Ozbay, “Disordered nanohole patterns in metal-insulator multilayer for ultra-broadband light absorption: Atomic layer deposition for lithography free highly repeatable large scale multilayer growth,” Sci. Rep. 7(1), 15079 (2017).
    [Crossref] [PubMed]
  20. A. N. Grigorenko, M. Polini, and K. S. Novoselov, “Graphene plasmonics,” Nat. Photonics 6(11), 749–758 (2012).
    [Crossref]
  21. T. Low and P. Avouris, “Graphene plasmonics for terahertz to mid-Infrared applications,” ACS Nano 8(2), 1086–1101 (2014).
    [Crossref] [PubMed]
  22. H. Hajian, H. Caglayan, and E. Ozbay, “Long-range Tamm surface plasmons supported by graphene-dielectric metamaterials,” J. Appl. Phys. 121(3), 033101 (2017).
    [Crossref]
  23. S. Thongrattanasiri, F. H. Koppens, and F. J. García de Abajo, “Complete optical absorption in periodically patterned graphene,” Phys. Rev. Lett. 108(4), 047401 (2012).
    [Crossref] [PubMed]
  24. G. Yao, F. Ling, J. Yue, C. Luo, J. Ji, and J. Yao, “Dual-band tunable perfect metamaterial absorber in the THz range,” Opt. Express 24(2), 1518–1527 (2016).
    [Crossref] [PubMed]
  25. A. Yu. Nikitin, F. Guinea, and L. Martin-Moreno, “Resonant plasmonic effects in periodic graphene antidot arrays,” Appl. Phys. Lett. 101(15), 151119 (2012).
    [Crossref]
  26. P. Q. Liu, F. Valmorra, C. Maissen, and J. Faist, “Electrically tunable graphene anti-dot array terahertz plasmonic crystals exhibiting multi-band resonances,” Optica 2(2), 135–140 (2015).
    [Crossref]
  27. R. Alaee, M. Farhat, C. Rockstuhl, and F. Lederer, “A perfect absorber made of a graphene micro-ribbon metamaterial,” Opt. Express 20(27), 28017–28024 (2012).
    [Crossref] [PubMed]
  28. B. Deng, Q. Guo, C. Li, H. Wang, X. Ling, D. B. Farmer, S. J. Han, J. Kong, and F. Xia, “Coupling-enhanced broadband mid-infrared light absorption in graphene plasmonic nanostructures,” ACS Nano 10(12), 11172–11178 (2016).
    [Crossref] [PubMed]
  29. H. Yan, T. Low, W. Zhu, Y. Wu, M. Freitag, X. Li, F. Guinea, P. Avouris, and F. Xia, “Damping pathways of mid-infrared plasmons in graphene nanostructures,” Nat. Photonics 7(5), 394–399 (2013).
    [Crossref]
  30. H. Li, L. Wang, and X. Zhai, “Tunable graphene-based midinfrared plasmonic wide-angle narrowband perfect absorber,” Sci. Rep. 6(1), 36651 (2016).
    [Crossref] [PubMed]
  31. X. Zou, G. Zheng, J. Cong, L. Xu, Y. Chen, and M. Lai, “Polarization-insensitive and wide-incident-angle optical absorber with periodically patterned graphene-dielectric arrays,” Opt. Lett. 43(1), 46–49 (2018).
    [Crossref] [PubMed]
  32. X. Hu and J. Wang, “High-speed gate-tunable terahertz coherent perfect absorption using a split-ring graphene,” Opt. Lett. 40(23), 5538–5541 (2015).
    [Crossref] [PubMed]
  33. X. Wang, X. Jiang, Q. You, J. Guo, X. Dai, and Y. Xiang, “Tunable and multichannel terahertz perfect absorber due to Tamm surface plasmons with graphene,” Photon. Res. 5(6), 536 (2018).
    [Crossref]
  34. J. Guo, L. Wu, X. Daia, Y. Xiang, and D. Fan, “Absorption enhancement and total absorption in a graphene-waveguide hybrid structure,” AIP Adv. 7(2), 025101 (2017).
    [Crossref]
  35. Y. Xiang, X. Dai, J. Guo, H. Zhang, S. Wen, and D. Tang, “Critical coupling with graphene-based hyperbolic metamaterials,” Sci. Rep. 4(1), 5483 (2014).
    [Crossref] [PubMed]
  36. J. D. Caldwell, L. Lindsay, V. Giannini, I. Vurgaftman, T. L. Reinecke, S. A. Maier, and O. J. Glembocki, “Low-loss, infrared and terahertz nanophotonics using surface phonon polaritons,” Nanophotonics 4(1), 44–68 (2015).
    [Crossref]
  37. J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Subdiffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5(1), 5221 (2014).
    [Crossref] [PubMed]
  38. S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
    [Crossref] [PubMed]
  39. A. Kumar, T. Low, K. H. Fung, P. Avouris, and N. X. Fang, “Tunable light–matter interaction and the role of hyperbolicity in graphene–hBN system,” Nano Lett. 15(5), 3172–3180 (2015).
    [Crossref] [PubMed]
  40. S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
    [Crossref] [PubMed]
  41. A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
    [Crossref] [PubMed]
  42. H. Hajian, A. Ghobadi, S. Abedini Dereshgi, B. Butun, and E. Ozbay, “Hybrid plasmon–phonon polariton bands in graphene–hexagonal boron nitride metamaterials,” J. Opt. Soc. Am. B 34(7), D29–D35 (2017).
    [Crossref]
  43. B. Zhao and Z. M. Zhang, “Resonance perfect absorption by exciting hyperbolic phonon polaritons in 1D hBN gratings,” Opt. Express 25(7), 7791–7796 (2017).
    [Crossref] [PubMed]
  44. B. Zhao and Z. M. Zhang, “Perfect mid-infrared absorption by hybrid phonon-plasmon polaritons in hBN/metal grating anisotropic structures,” Int. J. Heat Mass Transfer 106, 1025–1034 (2017).
    [Crossref]
  45. H. Hajian, A. Ghobadi, B. Butun, and E. Ozbay, “Nearly perfect resonant absorption and coherent thermal emission by hBN-based photonic crystals,” Opt. Express 25(25), 31970–31987 (2017).
    [Crossref] [PubMed]
  46. J. Wu, H. Wang, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
    [Crossref]
  47. J. Wu, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Turnable perfect absorption at infrared frequencies by a Graphene-hBN Hyper Crystal,” Opt. Express 24(15), 17103–17114 (2016).
    [Crossref] [PubMed]
  48. V. W. Brar, M. S. Jang, M. Sherrott, J. J. Lopez, and H. A. Atwater, “Highly confined tunable mid-infrared plasmonics in graphene nanoresonators,” Nano Lett. 13(6), 2541–2547 (2013).
    [Crossref] [PubMed]
  49. Y. Liu and R. F. Willis, “Plasmon-phonon strongly coupled mode in epitaxial graphene,” Phys. Rev. B 81(8), 081406 (2010).
    [Crossref]
  50. R. J. Koch, Th. Seyller, and J. A. Schaefer, “Strong phonon-plasmon coupled modes in the graphene/silicon carbide heterosystem,” Phys. Rev. B 82(20), 201413 (2010).
    [Crossref]
  51. V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
    [Crossref] [PubMed]
  52. Y. Jia, H. Zhao, Q. Guo, X. Wang, H. Wang, and F. Xia, “Tunable plasmon–phonon polaritons in layered graphene–hexagonal boron nitride heterostructures,” ACS Photonics 2(7), 907–912 (2015).
    [Crossref]
  53. G. W. Hanson, “Quasi-transverse electromagnetic modes supported by a graphene parallel-plate waveguide,” J. Appl. Phys. 104(8), 084314 (2008).
    [Crossref]
  54. H. Hajian, A. Soltani-Vala, and M. Kalafi, “Optimizing terahertz surface plasmons of a monolayer graphene and a graphene parallel plate waveguide using one-dimensional photonic crystal,” J. Appl. Phys. 114(3), 033102 (2013).
    [Crossref]
  55. L. A. Falkovsky, “Optical properties of graphene,” J. Phys. Conf. Ser. 129, 012004 (2008).
    [Crossref]
  56. Lumerical Solutions, Inc., http://www.lumerical.com/tcadproducts/fdtd .
  57. R. Alaee, M. Albooyeh, and C. Rockstuhl, “Theory of metasurface based perfect absorbers,” J. Phys. D Appl. Phys. 50(50), 503002 (2017).
    [Crossref]
  58. Z. Jacob and E. E. Narimanov, “Optical hyperspace for plasmons: Dyakonov states in metamaterials,” Appl. Phys. Lett. 93(22), 221109 (2008).
    [Crossref]
  59. P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Yu. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
    [Crossref] [PubMed]
  60. F. J. Alfaro-Mozaz, P. Alonso-González, S. Vélez, I. Dolado, M. Autore, S. Mastel, F. Casanova, L. E. Hueso, P. Li, A. Y. Nikitin, and R. Hillenbrand, “Nanoimaging of resonating hyperbolic polaritons in linear boron nitride antennas,” Nat. Commun. 8, 15624 (2017).
    [Crossref] [PubMed]
  61. P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “Infrared hyperbolic metasurface based on nanostructured van der waals materials,” Science 359(6378), 892–896 (2018).
    [Crossref] [PubMed]
  62. L. Novotny and B. Hecht, Principles of Nano-Optics (Cambridge University Press, 2012).
  63. P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “infrared hyperbolic metasurface based on nanostructured van der waals materials,” Appl. Phys. Lett. 99, 211106 (2011).

2018 (3)

2017 (13)

R. Alaee, M. Albooyeh, and C. Rockstuhl, “Theory of metasurface based perfect absorbers,” J. Phys. D Appl. Phys. 50(50), 503002 (2017).
[Crossref]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Yu. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

F. J. Alfaro-Mozaz, P. Alonso-González, S. Vélez, I. Dolado, M. Autore, S. Mastel, F. Casanova, L. E. Hueso, P. Li, A. Y. Nikitin, and R. Hillenbrand, “Nanoimaging of resonating hyperbolic polaritons in linear boron nitride antennas,” Nat. Commun. 8, 15624 (2017).
[Crossref] [PubMed]

H. Hajian, A. Ghobadi, S. Abedini Dereshgi, B. Butun, and E. Ozbay, “Hybrid plasmon–phonon polariton bands in graphene–hexagonal boron nitride metamaterials,” J. Opt. Soc. Am. B 34(7), D29–D35 (2017).
[Crossref]

B. Zhao and Z. M. Zhang, “Resonance perfect absorption by exciting hyperbolic phonon polaritons in 1D hBN gratings,” Opt. Express 25(7), 7791–7796 (2017).
[Crossref] [PubMed]

B. Zhao and Z. M. Zhang, “Perfect mid-infrared absorption by hybrid phonon-plasmon polaritons in hBN/metal grating anisotropic structures,” Int. J. Heat Mass Transfer 106, 1025–1034 (2017).
[Crossref]

H. Hajian, A. Ghobadi, B. Butun, and E. Ozbay, “Nearly perfect resonant absorption and coherent thermal emission by hBN-based photonic crystals,” Opt. Express 25(25), 31970–31987 (2017).
[Crossref] [PubMed]

J. Guo, L. Wu, X. Daia, Y. Xiang, and D. Fan, “Absorption enhancement and total absorption in a graphene-waveguide hybrid structure,” AIP Adv. 7(2), 025101 (2017).
[Crossref]

H. Hajian, H. Caglayan, and E. Ozbay, “Long-range Tamm surface plasmons supported by graphene-dielectric metamaterials,” J. Appl. Phys. 121(3), 033101 (2017).
[Crossref]

A. Lochbaum, Y. Fedoryshyn, A. Dorodnyy, U. Koch, C. Hafner, and J. Leuthold, “On-chip narrowband thermal emitter for mid-IR optical gas sensing,” ACS Photonics 4(6), 1371–1380 (2017).
[Crossref]

J. Kim, K. Han, and J. W. Hahn, “Selective dual-band metamaterial perfect absorber for infrared stealth technology,” Sci. Rep. 7(1), 6740 (2017).
[Crossref] [PubMed]

A. Ghobadi, H. Hajian, M. Gokbayrak, S. A. Dereshgi, A. Toprak, B. Butun, and E. Ozbay, “Visible light nearly perfect absorber: an optimum unit cell arrangement for near absolute polarization insensitivity,” Opt. Express 25(22), 27624–27634 (2017).
[Crossref] [PubMed]

A. Ghobadi, H. Hajian, S. A. Dereshgi, B. Bozok, B. Butun, and E. Ozbay, “Disordered nanohole patterns in metal-insulator multilayer for ultra-broadband light absorption: Atomic layer deposition for lithography free highly repeatable large scale multilayer growth,” Sci. Rep. 7(1), 15079 (2017).
[Crossref] [PubMed]

2016 (7)

F. A. L. de Souza, R. G. Amorim, W. L. Scopel, and R. H. Scheicher, “Nano-structured interface of graphene and h-BN for sensing applications,” Nanotechnology 27(36), 365503 (2016).
[Crossref] [PubMed]

F. Ding, J. Dai, Y. Chen, J. Zhu, Y. Jin, and S. I. Bozhevolnyi, “Broadband near-infrared metamaterial absorbers utilizing highly lossy metals,” Sci. Rep. 6(1), 39445 (2016).
[Crossref] [PubMed]

G. Yao, F. Ling, J. Yue, C. Luo, J. Ji, and J. Yao, “Dual-band tunable perfect metamaterial absorber in the THz range,” Opt. Express 24(2), 1518–1527 (2016).
[Crossref] [PubMed]

B. Deng, Q. Guo, C. Li, H. Wang, X. Ling, D. B. Farmer, S. J. Han, J. Kong, and F. Xia, “Coupling-enhanced broadband mid-infrared light absorption in graphene plasmonic nanostructures,” ACS Nano 10(12), 11172–11178 (2016).
[Crossref] [PubMed]

J. Wu, H. Wang, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

J. Wu, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Turnable perfect absorption at infrared frequencies by a Graphene-hBN Hyper Crystal,” Opt. Express 24(15), 17103–17114 (2016).
[Crossref] [PubMed]

H. Li, L. Wang, and X. Zhai, “Tunable graphene-based midinfrared plasmonic wide-angle narrowband perfect absorber,” Sci. Rep. 6(1), 36651 (2016).
[Crossref] [PubMed]

2015 (9)

A. Kumar, T. Low, K. H. Fung, P. Avouris, and N. X. Fang, “Tunable light–matter interaction and the role of hyperbolicity in graphene–hBN system,” Nano Lett. 15(5), 3172–3180 (2015).
[Crossref] [PubMed]

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

Y. Jia, H. Zhao, Q. Guo, X. Wang, H. Wang, and F. Xia, “Tunable plasmon–phonon polaritons in layered graphene–hexagonal boron nitride heterostructures,” ACS Photonics 2(7), 907–912 (2015).
[Crossref]

X. Hu and J. Wang, “High-speed gate-tunable terahertz coherent perfect absorption using a split-ring graphene,” Opt. Lett. 40(23), 5538–5541 (2015).
[Crossref] [PubMed]

J. D. Caldwell, L. Lindsay, V. Giannini, I. Vurgaftman, T. L. Reinecke, S. A. Maier, and O. J. Glembocki, “Low-loss, infrared and terahertz nanophotonics using surface phonon polaritons,” Nanophotonics 4(1), 44–68 (2015).
[Crossref]

P. Q. Liu, F. Valmorra, C. Maissen, and J. Faist, “Electrically tunable graphene anti-dot array terahertz plasmonic crystals exhibiting multi-band resonances,” Optica 2(2), 135–140 (2015).
[Crossref]

H. Deng, Z. Li, L. Stan, D. Rosenmann, D. Czaplewski, J. Gao, and X. Yang, “Broadband perfect absorber based on one ultrathin layer of refractory metal,” Opt. Lett. 40(11), 2592–2595 (2015).
[Crossref] [PubMed]

Y. Bai, L. Zhao, D. Ju, Y. Jiang, and L. Liu, “Wide-angle, polarization-independent and dual-band infrared perfect absorber based on L-shaped metamaterial,” Opt. Express 23(7), 8670–8680 (2015).
[Crossref] [PubMed]

2014 (5)

T. Low and P. Avouris, “Graphene plasmonics for terahertz to mid-Infrared applications,” ACS Nano 8(2), 1086–1101 (2014).
[Crossref] [PubMed]

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Subdiffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5(1), 5221 (2014).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Y. Xiang, X. Dai, J. Guo, H. Zhang, S. Wen, and D. Tang, “Critical coupling with graphene-based hyperbolic metamaterials,” Sci. Rep. 4(1), 5483 (2014).
[Crossref] [PubMed]

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

2013 (4)

H. Hajian, A. Soltani-Vala, and M. Kalafi, “Optimizing terahertz surface plasmons of a monolayer graphene and a graphene parallel plate waveguide using one-dimensional photonic crystal,” J. Appl. Phys. 114(3), 033102 (2013).
[Crossref]

V. W. Brar, M. S. Jang, M. Sherrott, J. J. Lopez, and H. A. Atwater, “Highly confined tunable mid-infrared plasmonics in graphene nanoresonators,” Nano Lett. 13(6), 2541–2547 (2013).
[Crossref] [PubMed]

H. Yan, T. Low, W. Zhu, Y. Wu, M. Freitag, X. Li, F. Guinea, P. Avouris, and F. Xia, “Damping pathways of mid-infrared plasmons in graphene nanostructures,” Nat. Photonics 7(5), 394–399 (2013).
[Crossref]

N. Mattiucci, M. J. Bloemer, N. Aközbek, and G. D’Aguanno, “Impedance matched thin metamaterials make metals absorbing,” Sci. Rep. 3(1), 3203 (2013).
[Crossref] [PubMed]

2012 (7)

K. Chen, R. Adato, and H. Altug, “Dual-band perfect absorber for multispectral plasmon-enhanced infrared spectroscopy,” ACS Nano 6(9), 7998–8006 (2012).
[Crossref] [PubMed]

H. T. Chen, “Interference theory of metamaterial perfect absorbers,” Opt. Express 20(7), 7165–7172 (2012).
[Crossref] [PubMed]

A. N. Grigorenko, M. Polini, and K. S. Novoselov, “Graphene plasmonics,” Nat. Photonics 6(11), 749–758 (2012).
[Crossref]

M. G. Nielsen, A. Pors, O. Albrektsen, and S. I. Bozhevolnyi, “Efficient absorption of visible radiation by gap plasmon resonators,” Opt. Express 20(12), 13311–13319 (2012).
[Crossref] [PubMed]

S. Thongrattanasiri, F. H. Koppens, and F. J. García de Abajo, “Complete optical absorption in periodically patterned graphene,” Phys. Rev. Lett. 108(4), 047401 (2012).
[Crossref] [PubMed]

R. Alaee, M. Farhat, C. Rockstuhl, and F. Lederer, “A perfect absorber made of a graphene micro-ribbon metamaterial,” Opt. Express 20(27), 28017–28024 (2012).
[Crossref] [PubMed]

A. Yu. Nikitin, F. Guinea, and L. Martin-Moreno, “Resonant plasmonic effects in periodic graphene antidot arrays,” Appl. Phys. Lett. 101(15), 151119 (2012).
[Crossref]

2011 (5)

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
[Crossref] [PubMed]

K. Aydin, V. E. Ferry, R. M. Briggs, and H. A. Atwater, “Broadband polarization-independent resonant light absorption using ultrathin plasmonic super absorbers,” Nat. Commun. 2(1), 517 (2011).
[Crossref] [PubMed]

P. Senanayake, C. H. Hung, J. Shapiro, A. Lin, B. Liang, B. S. Williams, and D. L. Huffaker, “Surface plasmon-enhanced nanopillar photodetectors,” Nano Lett. 11(12), 5279–5283 (2011).
[Crossref] [PubMed]

M. G. Nielsen, D. K. Gramotnev, A. Pors, O. Albrektsen, and S. I. Bozhevolnyi, “Continuous layer gap plasmon resonators,” Opt. Express 19(20), 19310–19322 (2011).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “infrared hyperbolic metasurface based on nanostructured van der waals materials,” Appl. Phys. Lett. 99, 211106 (2011).

2010 (3)

Y. Liu and R. F. Willis, “Plasmon-phonon strongly coupled mode in epitaxial graphene,” Phys. Rev. B 81(8), 081406 (2010).
[Crossref]

R. J. Koch, Th. Seyller, and J. A. Schaefer, “Strong phonon-plasmon coupled modes in the graphene/silicon carbide heterosystem,” Phys. Rev. B 82(20), 201413 (2010).
[Crossref]

A. Boardman, “Pioneers in metamaterials: John Pendry and Victor Veselago,” J. Opt. 13(2), 020401 (2010).
[Crossref]

2009 (1)

2008 (3)

L. A. Falkovsky, “Optical properties of graphene,” J. Phys. Conf. Ser. 129, 012004 (2008).
[Crossref]

G. W. Hanson, “Quasi-transverse electromagnetic modes supported by a graphene parallel-plate waveguide,” J. Appl. Phys. 104(8), 084314 (2008).
[Crossref]

Z. Jacob and E. E. Narimanov, “Optical hyperspace for plasmons: Dyakonov states in metamaterials,” Appl. Phys. Lett. 93(22), 221109 (2008).
[Crossref]

2006 (1)

J. R. Cole and N. J. Halas, “Optimized plasmonic nanoparticle distributions for solar spectrum harvesting,” Appl. Phys. Lett. 89(15), 153120 (2006).
[Crossref]

Abedini Dereshgi, S.

Adato, R.

K. Chen, R. Adato, and H. Altug, “Dual-band perfect absorber for multispectral plasmon-enhanced infrared spectroscopy,” ACS Nano 6(9), 7998–8006 (2012).
[Crossref] [PubMed]

Aközbek, N.

N. Mattiucci, M. J. Bloemer, N. Aközbek, and G. D’Aguanno, “Impedance matched thin metamaterials make metals absorbing,” Sci. Rep. 3(1), 3203 (2013).
[Crossref] [PubMed]

Alaee, R.

R. Alaee, M. Albooyeh, and C. Rockstuhl, “Theory of metasurface based perfect absorbers,” J. Phys. D Appl. Phys. 50(50), 503002 (2017).
[Crossref]

R. Alaee, M. Farhat, C. Rockstuhl, and F. Lederer, “A perfect absorber made of a graphene micro-ribbon metamaterial,” Opt. Express 20(27), 28017–28024 (2012).
[Crossref] [PubMed]

Albooyeh, M.

R. Alaee, M. Albooyeh, and C. Rockstuhl, “Theory of metasurface based perfect absorbers,” J. Phys. D Appl. Phys. 50(50), 503002 (2017).
[Crossref]

Albrektsen, O.

Alfaro-Mozaz, F. J.

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “Infrared hyperbolic metasurface based on nanostructured van der waals materials,” Science 359(6378), 892–896 (2018).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Yu. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

F. J. Alfaro-Mozaz, P. Alonso-González, S. Vélez, I. Dolado, M. Autore, S. Mastel, F. Casanova, L. E. Hueso, P. Li, A. Y. Nikitin, and R. Hillenbrand, “Nanoimaging of resonating hyperbolic polaritons in linear boron nitride antennas,” Nat. Commun. 8, 15624 (2017).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “infrared hyperbolic metasurface based on nanostructured van der waals materials,” Appl. Phys. Lett. 99, 211106 (2011).

Alonso-González, P.

F. J. Alfaro-Mozaz, P. Alonso-González, S. Vélez, I. Dolado, M. Autore, S. Mastel, F. Casanova, L. E. Hueso, P. Li, A. Y. Nikitin, and R. Hillenbrand, “Nanoimaging of resonating hyperbolic polaritons in linear boron nitride antennas,” Nat. Commun. 8, 15624 (2017).
[Crossref] [PubMed]

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

Altug, H.

K. Chen, R. Adato, and H. Altug, “Dual-band perfect absorber for multispectral plasmon-enhanced infrared spectroscopy,” ACS Nano 6(9), 7998–8006 (2012).
[Crossref] [PubMed]

Amorim, R. G.

F. A. L. de Souza, R. G. Amorim, W. L. Scopel, and R. H. Scheicher, “Nano-structured interface of graphene and h-BN for sensing applications,” Nanotechnology 27(36), 365503 (2016).
[Crossref] [PubMed]

Andersen, T.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

Atwater, H.

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

Atwater, H. A.

V. W. Brar, M. S. Jang, M. Sherrott, J. J. Lopez, and H. A. Atwater, “Highly confined tunable mid-infrared plasmonics in graphene nanoresonators,” Nano Lett. 13(6), 2541–2547 (2013).
[Crossref] [PubMed]

K. Aydin, V. E. Ferry, R. M. Briggs, and H. A. Atwater, “Broadband polarization-independent resonant light absorption using ultrathin plasmonic super absorbers,” Nat. Commun. 2(1), 517 (2011).
[Crossref] [PubMed]

Autore, M.

F. J. Alfaro-Mozaz, P. Alonso-González, S. Vélez, I. Dolado, M. Autore, S. Mastel, F. Casanova, L. E. Hueso, P. Li, A. Y. Nikitin, and R. Hillenbrand, “Nanoimaging of resonating hyperbolic polaritons in linear boron nitride antennas,” Nat. Commun. 8, 15624 (2017).
[Crossref] [PubMed]

Avouris, P.

A. Kumar, T. Low, K. H. Fung, P. Avouris, and N. X. Fang, “Tunable light–matter interaction and the role of hyperbolicity in graphene–hBN system,” Nano Lett. 15(5), 3172–3180 (2015).
[Crossref] [PubMed]

T. Low and P. Avouris, “Graphene plasmonics for terahertz to mid-Infrared applications,” ACS Nano 8(2), 1086–1101 (2014).
[Crossref] [PubMed]

H. Yan, T. Low, W. Zhu, Y. Wu, M. Freitag, X. Li, F. Guinea, P. Avouris, and F. Xia, “Damping pathways of mid-infrared plasmons in graphene nanostructures,” Nat. Photonics 7(5), 394–399 (2013).
[Crossref]

Aydin, K.

K. Aydin, V. E. Ferry, R. M. Briggs, and H. A. Atwater, “Broadband polarization-independent resonant light absorption using ultrathin plasmonic super absorbers,” Nat. Commun. 2(1), 517 (2011).
[Crossref] [PubMed]

Bai, Y.

Basov, D. N.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Bloemer, M. J.

N. Mattiucci, M. J. Bloemer, N. Aközbek, and G. D’Aguanno, “Impedance matched thin metamaterials make metals absorbing,” Sci. Rep. 3(1), 3203 (2013).
[Crossref] [PubMed]

Boardman, A.

A. Boardman, “Pioneers in metamaterials: John Pendry and Victor Veselago,” J. Opt. 13(2), 020401 (2010).
[Crossref]

Bozhevolnyi, S. I.

Bozok, B.

A. Ghobadi, H. Hajian, S. A. Dereshgi, B. Bozok, B. Butun, and E. Ozbay, “Disordered nanohole patterns in metal-insulator multilayer for ultra-broadband light absorption: Atomic layer deposition for lithography free highly repeatable large scale multilayer growth,” Sci. Rep. 7(1), 15079 (2017).
[Crossref] [PubMed]

Brar, V. W.

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

V. W. Brar, M. S. Jang, M. Sherrott, J. J. Lopez, and H. A. Atwater, “Highly confined tunable mid-infrared plasmonics in graphene nanoresonators,” Nano Lett. 13(6), 2541–2547 (2013).
[Crossref] [PubMed]

Briggs, R. M.

K. Aydin, V. E. Ferry, R. M. Briggs, and H. A. Atwater, “Broadband polarization-independent resonant light absorption using ultrathin plasmonic super absorbers,” Nat. Commun. 2(1), 517 (2011).
[Crossref] [PubMed]

Butun, B.

Caglayan, H.

H. Hajian, H. Caglayan, and E. Ozbay, “Long-range Tamm surface plasmons supported by graphene-dielectric metamaterials,” J. Appl. Phys. 121(3), 033101 (2017).
[Crossref]

Caldwell, J. D.

J. D. Caldwell, L. Lindsay, V. Giannini, I. Vurgaftman, T. L. Reinecke, S. A. Maier, and O. J. Glembocki, “Low-loss, infrared and terahertz nanophotonics using surface phonon polaritons,” Nanophotonics 4(1), 44–68 (2015).
[Crossref]

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Subdiffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5(1), 5221 (2014).
[Crossref] [PubMed]

Carrega, M.

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

Casanova, F.

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “Infrared hyperbolic metasurface based on nanostructured van der waals materials,” Science 359(6378), 892–896 (2018).
[Crossref] [PubMed]

F. J. Alfaro-Mozaz, P. Alonso-González, S. Vélez, I. Dolado, M. Autore, S. Mastel, F. Casanova, L. E. Hueso, P. Li, A. Y. Nikitin, and R. Hillenbrand, “Nanoimaging of resonating hyperbolic polaritons in linear boron nitride antennas,” Nat. Commun. 8, 15624 (2017).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Yu. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “infrared hyperbolic metasurface based on nanostructured van der waals materials,” Appl. Phys. Lett. 99, 211106 (2011).

Castro Neto, A. H.

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Chen, H. T.

Chen, K.

K. Chen, R. Adato, and H. Altug, “Dual-band perfect absorber for multispectral plasmon-enhanced infrared spectroscopy,” ACS Nano 6(9), 7998–8006 (2012).
[Crossref] [PubMed]

Chen, X.

Chen, Y.

X. Zou, G. Zheng, J. Cong, L. Xu, Y. Chen, and M. Lai, “Polarization-insensitive and wide-incident-angle optical absorber with periodically patterned graphene-dielectric arrays,” Opt. Lett. 43(1), 46–49 (2018).
[Crossref] [PubMed]

F. Ding, J. Dai, Y. Chen, J. Zhu, Y. Jin, and S. I. Bozhevolnyi, “Broadband near-infrared metamaterial absorbers utilizing highly lossy metals,” Sci. Rep. 6(1), 39445 (2016).
[Crossref] [PubMed]

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Subdiffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5(1), 5221 (2014).
[Crossref] [PubMed]

Choi, M.

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

Cole, J. R.

J. R. Cole and N. J. Halas, “Optimized plasmonic nanoparticle distributions for solar spectrum harvesting,” Appl. Phys. Lett. 89(15), 153120 (2006).
[Crossref]

Cong, J.

Czaplewski, D.

D’Aguanno, G.

N. Mattiucci, M. J. Bloemer, N. Aközbek, and G. D’Aguanno, “Impedance matched thin metamaterials make metals absorbing,” Sci. Rep. 3(1), 3203 (2013).
[Crossref] [PubMed]

Dai, J.

F. Ding, J. Dai, Y. Chen, J. Zhu, Y. Jin, and S. I. Bozhevolnyi, “Broadband near-infrared metamaterial absorbers utilizing highly lossy metals,” Sci. Rep. 6(1), 39445 (2016).
[Crossref] [PubMed]

Dai, S.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Dai, X.

X. Wang, X. Jiang, Q. You, J. Guo, X. Dai, and Y. Xiang, “Tunable and multichannel terahertz perfect absorber due to Tamm surface plasmons with graphene,” Photon. Res. 5(6), 536 (2018).
[Crossref]

J. Wu, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Turnable perfect absorption at infrared frequencies by a Graphene-hBN Hyper Crystal,” Opt. Express 24(15), 17103–17114 (2016).
[Crossref] [PubMed]

J. Wu, H. Wang, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

Y. Xiang, X. Dai, J. Guo, H. Zhang, S. Wen, and D. Tang, “Critical coupling with graphene-based hyperbolic metamaterials,” Sci. Rep. 4(1), 5483 (2014).
[Crossref] [PubMed]

Daia, X.

J. Guo, L. Wu, X. Daia, Y. Xiang, and D. Fan, “Absorption enhancement and total absorption in a graphene-waveguide hybrid structure,” AIP Adv. 7(2), 025101 (2017).
[Crossref]

de Souza, F. A. L.

F. A. L. de Souza, R. G. Amorim, W. L. Scopel, and R. H. Scheicher, “Nano-structured interface of graphene and h-BN for sensing applications,” Nanotechnology 27(36), 365503 (2016).
[Crossref] [PubMed]

Deng, B.

B. Deng, Q. Guo, C. Li, H. Wang, X. Ling, D. B. Farmer, S. J. Han, J. Kong, and F. Xia, “Coupling-enhanced broadband mid-infrared light absorption in graphene plasmonic nanostructures,” ACS Nano 10(12), 11172–11178 (2016).
[Crossref] [PubMed]

Deng, H.

Dereshgi, S. A.

A. Ghobadi, H. Hajian, S. A. Dereshgi, B. Bozok, B. Butun, and E. Ozbay, “Disordered nanohole patterns in metal-insulator multilayer for ultra-broadband light absorption: Atomic layer deposition for lithography free highly repeatable large scale multilayer growth,” Sci. Rep. 7(1), 15079 (2017).
[Crossref] [PubMed]

A. Ghobadi, H. Hajian, M. Gokbayrak, S. A. Dereshgi, A. Toprak, B. Butun, and E. Ozbay, “Visible light nearly perfect absorber: an optimum unit cell arrangement for near absolute polarization insensitivity,” Opt. Express 25(22), 27624–27634 (2017).
[Crossref] [PubMed]

Ding, F.

F. Ding, J. Dai, Y. Chen, J. Zhu, Y. Jin, and S. I. Bozhevolnyi, “Broadband near-infrared metamaterial absorbers utilizing highly lossy metals,” Sci. Rep. 6(1), 39445 (2016).
[Crossref] [PubMed]

Dolado, I.

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “Infrared hyperbolic metasurface based on nanostructured van der waals materials,” Science 359(6378), 892–896 (2018).
[Crossref] [PubMed]

F. J. Alfaro-Mozaz, P. Alonso-González, S. Vélez, I. Dolado, M. Autore, S. Mastel, F. Casanova, L. E. Hueso, P. Li, A. Y. Nikitin, and R. Hillenbrand, “Nanoimaging of resonating hyperbolic polaritons in linear boron nitride antennas,” Nat. Commun. 8, 15624 (2017).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Yu. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “infrared hyperbolic metasurface based on nanostructured van der waals materials,” Appl. Phys. Lett. 99, 211106 (2011).

Dominguez, G.

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Dorodnyy, A.

A. Lochbaum, Y. Fedoryshyn, A. Dorodnyy, U. Koch, C. Hafner, and J. Leuthold, “On-chip narrowband thermal emitter for mid-IR optical gas sensing,” ACS Photonics 4(6), 1371–1380 (2017).
[Crossref]

Edgar, J. H.

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “Infrared hyperbolic metasurface based on nanostructured van der waals materials,” Science 359(6378), 892–896 (2018).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “infrared hyperbolic metasurface based on nanostructured van der waals materials,” Appl. Phys. Lett. 99, 211106 (2011).

Ellis, C. T.

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Subdiffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5(1), 5221 (2014).
[Crossref] [PubMed]

Faist, J.

Falkovsky, L. A.

L. A. Falkovsky, “Optical properties of graphene,” J. Phys. Conf. Ser. 129, 012004 (2008).
[Crossref]

Fan, D.

J. Guo, L. Wu, X. Daia, Y. Xiang, and D. Fan, “Absorption enhancement and total absorption in a graphene-waveguide hybrid structure,” AIP Adv. 7(2), 025101 (2017).
[Crossref]

Fang, N. X.

A. Kumar, T. Low, K. H. Fung, P. Avouris, and N. X. Fang, “Tunable light–matter interaction and the role of hyperbolicity in graphene–hBN system,” Nano Lett. 15(5), 3172–3180 (2015).
[Crossref] [PubMed]

Farhat, M.

Farmer, D. B.

B. Deng, Q. Guo, C. Li, H. Wang, X. Ling, D. B. Farmer, S. J. Han, J. Kong, and F. Xia, “Coupling-enhanced broadband mid-infrared light absorption in graphene plasmonic nanostructures,” ACS Nano 10(12), 11172–11178 (2016).
[Crossref] [PubMed]

Fedoryshyn, Y.

A. Lochbaum, Y. Fedoryshyn, A. Dorodnyy, U. Koch, C. Hafner, and J. Leuthold, “On-chip narrowband thermal emitter for mid-IR optical gas sensing,” ACS Photonics 4(6), 1371–1380 (2017).
[Crossref]

Fei, Z.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Ferry, V. E.

K. Aydin, V. E. Ferry, R. M. Briggs, and H. A. Atwater, “Broadband polarization-independent resonant light absorption using ultrathin plasmonic super absorbers,” Nat. Commun. 2(1), 517 (2011).
[Crossref] [PubMed]

Fogler, M. M.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Subdiffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5(1), 5221 (2014).
[Crossref] [PubMed]

Francescato, Y.

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Subdiffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5(1), 5221 (2014).
[Crossref] [PubMed]

Freitag, M.

H. Yan, T. Low, W. Zhu, Y. Wu, M. Freitag, X. Li, F. Guinea, P. Avouris, and F. Xia, “Damping pathways of mid-infrared plasmons in graphene nanostructures,” Nat. Photonics 7(5), 394–399 (2013).
[Crossref]

Fung, K. H.

A. Kumar, T. Low, K. H. Fung, P. Avouris, and N. X. Fang, “Tunable light–matter interaction and the role of hyperbolicity in graphene–hBN system,” Nano Lett. 15(5), 3172–3180 (2015).
[Crossref] [PubMed]

Gannett, W.

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Gao, J.

Gao, Y.

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

García de Abajo, F. J.

S. Thongrattanasiri, F. H. Koppens, and F. J. García de Abajo, “Complete optical absorption in periodically patterned graphene,” Phys. Rev. Lett. 108(4), 047401 (2012).
[Crossref] [PubMed]

Ghobadi, A.

Giannini, V.

J. D. Caldwell, L. Lindsay, V. Giannini, I. Vurgaftman, T. L. Reinecke, S. A. Maier, and O. J. Glembocki, “Low-loss, infrared and terahertz nanophotonics using surface phonon polaritons,” Nanophotonics 4(1), 44–68 (2015).
[Crossref]

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Subdiffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5(1), 5221 (2014).
[Crossref] [PubMed]

Giles, A. J.

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Subdiffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5(1), 5221 (2014).
[Crossref] [PubMed]

Glembocki, O. J.

J. D. Caldwell, L. Lindsay, V. Giannini, I. Vurgaftman, T. L. Reinecke, S. A. Maier, and O. J. Glembocki, “Low-loss, infrared and terahertz nanophotonics using surface phonon polaritons,” Nanophotonics 4(1), 44–68 (2015).
[Crossref]

Gokbayrak, M.

Goldflam, M. D.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

Gramotnev, D. K.

Grigorenko, A. N.

A. N. Grigorenko, M. Polini, and K. S. Novoselov, “Graphene plasmonics,” Nat. Photonics 6(11), 749–758 (2012).
[Crossref]

Guinea, F.

H. Yan, T. Low, W. Zhu, Y. Wu, M. Freitag, X. Li, F. Guinea, P. Avouris, and F. Xia, “Damping pathways of mid-infrared plasmons in graphene nanostructures,” Nat. Photonics 7(5), 394–399 (2013).
[Crossref]

A. Yu. Nikitin, F. Guinea, and L. Martin-Moreno, “Resonant plasmonic effects in periodic graphene antidot arrays,” Appl. Phys. Lett. 101(15), 151119 (2012).
[Crossref]

Guo, J.

X. Wang, X. Jiang, Q. You, J. Guo, X. Dai, and Y. Xiang, “Tunable and multichannel terahertz perfect absorber due to Tamm surface plasmons with graphene,” Photon. Res. 5(6), 536 (2018).
[Crossref]

J. Guo, L. Wu, X. Daia, Y. Xiang, and D. Fan, “Absorption enhancement and total absorption in a graphene-waveguide hybrid structure,” AIP Adv. 7(2), 025101 (2017).
[Crossref]

J. Wu, H. Wang, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

J. Wu, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Turnable perfect absorption at infrared frequencies by a Graphene-hBN Hyper Crystal,” Opt. Express 24(15), 17103–17114 (2016).
[Crossref] [PubMed]

Y. Xiang, X. Dai, J. Guo, H. Zhang, S. Wen, and D. Tang, “Critical coupling with graphene-based hyperbolic metamaterials,” Sci. Rep. 4(1), 5483 (2014).
[Crossref] [PubMed]

Guo, Q.

B. Deng, Q. Guo, C. Li, H. Wang, X. Ling, D. B. Farmer, S. J. Han, J. Kong, and F. Xia, “Coupling-enhanced broadband mid-infrared light absorption in graphene plasmonic nanostructures,” ACS Nano 10(12), 11172–11178 (2016).
[Crossref] [PubMed]

Y. Jia, H. Zhao, Q. Guo, X. Wang, H. Wang, and F. Xia, “Tunable plasmon–phonon polaritons in layered graphene–hexagonal boron nitride heterostructures,” ACS Photonics 2(7), 907–912 (2015).
[Crossref]

Hafner, C.

A. Lochbaum, Y. Fedoryshyn, A. Dorodnyy, U. Koch, C. Hafner, and J. Leuthold, “On-chip narrowband thermal emitter for mid-IR optical gas sensing,” ACS Photonics 4(6), 1371–1380 (2017).
[Crossref]

Hahn, J. W.

J. Kim, K. Han, and J. W. Hahn, “Selective dual-band metamaterial perfect absorber for infrared stealth technology,” Sci. Rep. 7(1), 6740 (2017).
[Crossref] [PubMed]

Hajian, H.

A. Ghobadi, H. Hajian, S. A. Dereshgi, B. Bozok, B. Butun, and E. Ozbay, “Disordered nanohole patterns in metal-insulator multilayer for ultra-broadband light absorption: Atomic layer deposition for lithography free highly repeatable large scale multilayer growth,” Sci. Rep. 7(1), 15079 (2017).
[Crossref] [PubMed]

H. Hajian, H. Caglayan, and E. Ozbay, “Long-range Tamm surface plasmons supported by graphene-dielectric metamaterials,” J. Appl. Phys. 121(3), 033101 (2017).
[Crossref]

A. Ghobadi, H. Hajian, M. Gokbayrak, S. A. Dereshgi, A. Toprak, B. Butun, and E. Ozbay, “Visible light nearly perfect absorber: an optimum unit cell arrangement for near absolute polarization insensitivity,” Opt. Express 25(22), 27624–27634 (2017).
[Crossref] [PubMed]

H. Hajian, A. Ghobadi, S. Abedini Dereshgi, B. Butun, and E. Ozbay, “Hybrid plasmon–phonon polariton bands in graphene–hexagonal boron nitride metamaterials,” J. Opt. Soc. Am. B 34(7), D29–D35 (2017).
[Crossref]

H. Hajian, A. Ghobadi, B. Butun, and E. Ozbay, “Nearly perfect resonant absorption and coherent thermal emission by hBN-based photonic crystals,” Opt. Express 25(25), 31970–31987 (2017).
[Crossref] [PubMed]

H. Hajian, A. Soltani-Vala, and M. Kalafi, “Optimizing terahertz surface plasmons of a monolayer graphene and a graphene parallel plate waveguide using one-dimensional photonic crystal,” J. Appl. Phys. 114(3), 033102 (2013).
[Crossref]

Halas, N. J.

J. R. Cole and N. J. Halas, “Optimized plasmonic nanoparticle distributions for solar spectrum harvesting,” Appl. Phys. Lett. 89(15), 153120 (2006).
[Crossref]

Han, K.

J. Kim, K. Han, and J. W. Hahn, “Selective dual-band metamaterial perfect absorber for infrared stealth technology,” Sci. Rep. 7(1), 6740 (2017).
[Crossref] [PubMed]

Han, S. J.

B. Deng, Q. Guo, C. Li, H. Wang, X. Ling, D. B. Farmer, S. J. Han, J. Kong, and F. Xia, “Coupling-enhanced broadband mid-infrared light absorption in graphene plasmonic nanostructures,” ACS Nano 10(12), 11172–11178 (2016).
[Crossref] [PubMed]

Hanson, G. W.

G. W. Hanson, “Quasi-transverse electromagnetic modes supported by a graphene parallel-plate waveguide,” J. Appl. Phys. 104(8), 084314 (2008).
[Crossref]

Hillenbrand, R.

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “Infrared hyperbolic metasurface based on nanostructured van der waals materials,” Science 359(6378), 892–896 (2018).
[Crossref] [PubMed]

F. J. Alfaro-Mozaz, P. Alonso-González, S. Vélez, I. Dolado, M. Autore, S. Mastel, F. Casanova, L. E. Hueso, P. Li, A. Y. Nikitin, and R. Hillenbrand, “Nanoimaging of resonating hyperbolic polaritons in linear boron nitride antennas,” Nat. Commun. 8, 15624 (2017).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Yu. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “infrared hyperbolic metasurface based on nanostructured van der waals materials,” Appl. Phys. Lett. 99, 211106 (2011).

Hone, J.

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

Hong, M.

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Subdiffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5(1), 5221 (2014).
[Crossref] [PubMed]

Hu, C.

Hu, X.

Hueso, L. E.

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “Infrared hyperbolic metasurface based on nanostructured van der waals materials,” Science 359(6378), 892–896 (2018).
[Crossref] [PubMed]

F. J. Alfaro-Mozaz, P. Alonso-González, S. Vélez, I. Dolado, M. Autore, S. Mastel, F. Casanova, L. E. Hueso, P. Li, A. Y. Nikitin, and R. Hillenbrand, “Nanoimaging of resonating hyperbolic polaritons in linear boron nitride antennas,” Nat. Commun. 8, 15624 (2017).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Yu. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “infrared hyperbolic metasurface based on nanostructured van der waals materials,” Appl. Phys. Lett. 99, 211106 (2011).

Huffaker, D. L.

P. Senanayake, C. H. Hung, J. Shapiro, A. Lin, B. Liang, B. S. Williams, and D. L. Huffaker, “Surface plasmon-enhanced nanopillar photodetectors,” Nano Lett. 11(12), 5279–5283 (2011).
[Crossref] [PubMed]

Hung, C. H.

P. Senanayake, C. H. Hung, J. Shapiro, A. Lin, B. Liang, B. S. Williams, and D. L. Huffaker, “Surface plasmon-enhanced nanopillar photodetectors,” Nano Lett. 11(12), 5279–5283 (2011).
[Crossref] [PubMed]

Jacob, Z.

Z. Jacob and E. E. Narimanov, “Optical hyperspace for plasmons: Dyakonov states in metamaterials,” Appl. Phys. Lett. 93(22), 221109 (2008).
[Crossref]

Jang, M. S.

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

V. W. Brar, M. S. Jang, M. Sherrott, J. J. Lopez, and H. A. Atwater, “Highly confined tunable mid-infrared plasmonics in graphene nanoresonators,” Nano Lett. 13(6), 2541–2547 (2013).
[Crossref] [PubMed]

Janssen, G. C. A. M.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

Jarillo-Herrero, P.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Ji, J.

Jia, Y.

Y. Jia, H. Zhao, Q. Guo, X. Wang, H. Wang, and F. Xia, “Tunable plasmon–phonon polaritons in layered graphene–hexagonal boron nitride heterostructures,” ACS Photonics 2(7), 907–912 (2015).
[Crossref]

Jiang, L.

J. Wu, H. Wang, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

J. Wu, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Turnable perfect absorption at infrared frequencies by a Graphene-hBN Hyper Crystal,” Opt. Express 24(15), 17103–17114 (2016).
[Crossref] [PubMed]

Jiang, X.

Jiang, Y.

Jin, Y.

F. Ding, J. Dai, Y. Chen, J. Zhu, Y. Jin, and S. I. Bozhevolnyi, “Broadband near-infrared metamaterial absorbers utilizing highly lossy metals,” Sci. Rep. 6(1), 39445 (2016).
[Crossref] [PubMed]

Jokerst, N. M.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
[Crossref] [PubMed]

Ju, D.

Kalafi, M.

H. Hajian, A. Soltani-Vala, and M. Kalafi, “Optimizing terahertz surface plasmons of a monolayer graphene and a graphene parallel plate waveguide using one-dimensional photonic crystal,” J. Appl. Phys. 114(3), 033102 (2013).
[Crossref]

Keilmann, F.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Kim, J.

J. Kim, K. Han, and J. W. Hahn, “Selective dual-band metamaterial perfect absorber for infrared stealth technology,” Sci. Rep. 7(1), 6740 (2017).
[Crossref] [PubMed]

Kim, L. B.

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

Kim, S.

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

Koch, R. J.

R. J. Koch, Th. Seyller, and J. A. Schaefer, “Strong phonon-plasmon coupled modes in the graphene/silicon carbide heterosystem,” Phys. Rev. B 82(20), 201413 (2010).
[Crossref]

Koch, U.

A. Lochbaum, Y. Fedoryshyn, A. Dorodnyy, U. Koch, C. Hafner, and J. Leuthold, “On-chip narrowband thermal emitter for mid-IR optical gas sensing,” ACS Photonics 4(6), 1371–1380 (2017).
[Crossref]

Kong, J.

B. Deng, Q. Guo, C. Li, H. Wang, X. Ling, D. B. Farmer, S. J. Han, J. Kong, and F. Xia, “Coupling-enhanced broadband mid-infrared light absorption in graphene plasmonic nanostructures,” ACS Nano 10(12), 11172–11178 (2016).
[Crossref] [PubMed]

Koppens, F. H.

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

S. Thongrattanasiri, F. H. Koppens, and F. J. García de Abajo, “Complete optical absorption in periodically patterned graphene,” Phys. Rev. Lett. 108(4), 047401 (2012).
[Crossref] [PubMed]

Kretinin, A. V.

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Subdiffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5(1), 5221 (2014).
[Crossref] [PubMed]

Kumar, A.

A. Kumar, T. Low, K. H. Fung, P. Avouris, and N. X. Fang, “Tunable light–matter interaction and the role of hyperbolicity in graphene–hBN system,” Nano Lett. 15(5), 3172–3180 (2015).
[Crossref] [PubMed]

Lai, M.

Lederer, F.

Leuthold, J.

A. Lochbaum, Y. Fedoryshyn, A. Dorodnyy, U. Koch, C. Hafner, and J. Leuthold, “On-chip narrowband thermal emitter for mid-IR optical gas sensing,” ACS Photonics 4(6), 1371–1380 (2017).
[Crossref]

Li, C.

B. Deng, Q. Guo, C. Li, H. Wang, X. Ling, D. B. Farmer, S. J. Han, J. Kong, and F. Xia, “Coupling-enhanced broadband mid-infrared light absorption in graphene plasmonic nanostructures,” ACS Nano 10(12), 11172–11178 (2016).
[Crossref] [PubMed]

Li, H.

H. Li, L. Wang, and X. Zhai, “Tunable graphene-based midinfrared plasmonic wide-angle narrowband perfect absorber,” Sci. Rep. 6(1), 36651 (2016).
[Crossref] [PubMed]

Li, P.

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “Infrared hyperbolic metasurface based on nanostructured van der waals materials,” Science 359(6378), 892–896 (2018).
[Crossref] [PubMed]

F. J. Alfaro-Mozaz, P. Alonso-González, S. Vélez, I. Dolado, M. Autore, S. Mastel, F. Casanova, L. E. Hueso, P. Li, A. Y. Nikitin, and R. Hillenbrand, “Nanoimaging of resonating hyperbolic polaritons in linear boron nitride antennas,” Nat. Commun. 8, 15624 (2017).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Yu. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “infrared hyperbolic metasurface based on nanostructured van der waals materials,” Appl. Phys. Lett. 99, 211106 (2011).

Li, X.

H. Yan, T. Low, W. Zhu, Y. Wu, M. Freitag, X. Li, F. Guinea, P. Avouris, and F. Xia, “Damping pathways of mid-infrared plasmons in graphene nanostructures,” Nat. Photonics 7(5), 394–399 (2013).
[Crossref]

Li, Z.

Liang, B.

P. Senanayake, C. H. Hung, J. Shapiro, A. Lin, B. Liang, B. S. Williams, and D. L. Huffaker, “Surface plasmon-enhanced nanopillar photodetectors,” Nano Lett. 11(12), 5279–5283 (2011).
[Crossref] [PubMed]

Lin, A.

P. Senanayake, C. H. Hung, J. Shapiro, A. Lin, B. Liang, B. S. Williams, and D. L. Huffaker, “Surface plasmon-enhanced nanopillar photodetectors,” Nano Lett. 11(12), 5279–5283 (2011).
[Crossref] [PubMed]

Lindsay, L.

J. D. Caldwell, L. Lindsay, V. Giannini, I. Vurgaftman, T. L. Reinecke, S. A. Maier, and O. J. Glembocki, “Low-loss, infrared and terahertz nanophotonics using surface phonon polaritons,” Nanophotonics 4(1), 44–68 (2015).
[Crossref]

Ling, F.

Ling, X.

B. Deng, Q. Guo, C. Li, H. Wang, X. Ling, D. B. Farmer, S. J. Han, J. Kong, and F. Xia, “Coupling-enhanced broadband mid-infrared light absorption in graphene plasmonic nanostructures,” ACS Nano 10(12), 11172–11178 (2016).
[Crossref] [PubMed]

Liu, L.

Liu, M. K.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Liu, P. Q.

Liu, S.

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “Infrared hyperbolic metasurface based on nanostructured van der waals materials,” Science 359(6378), 892–896 (2018).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “infrared hyperbolic metasurface based on nanostructured van der waals materials,” Appl. Phys. Lett. 99, 211106 (2011).

Liu, X.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
[Crossref] [PubMed]

Liu, Y.

Y. Liu and R. F. Willis, “Plasmon-phonon strongly coupled mode in epitaxial graphene,” Phys. Rev. B 81(8), 081406 (2010).
[Crossref]

Lochbaum, A.

A. Lochbaum, Y. Fedoryshyn, A. Dorodnyy, U. Koch, C. Hafner, and J. Leuthold, “On-chip narrowband thermal emitter for mid-IR optical gas sensing,” ACS Photonics 4(6), 1371–1380 (2017).
[Crossref]

Lopez, J. J.

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

V. W. Brar, M. S. Jang, M. Sherrott, J. J. Lopez, and H. A. Atwater, “Highly confined tunable mid-infrared plasmonics in graphene nanoresonators,” Nano Lett. 13(6), 2541–2547 (2013).
[Crossref] [PubMed]

Low, T.

A. Kumar, T. Low, K. H. Fung, P. Avouris, and N. X. Fang, “Tunable light–matter interaction and the role of hyperbolicity in graphene–hBN system,” Nano Lett. 15(5), 3172–3180 (2015).
[Crossref] [PubMed]

T. Low and P. Avouris, “Graphene plasmonics for terahertz to mid-Infrared applications,” ACS Nano 8(2), 1086–1101 (2014).
[Crossref] [PubMed]

H. Yan, T. Low, W. Zhu, Y. Wu, M. Freitag, X. Li, F. Guinea, P. Avouris, and F. Xia, “Damping pathways of mid-infrared plasmons in graphene nanostructures,” Nat. Photonics 7(5), 394–399 (2013).
[Crossref]

Lundeberg, M. B.

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

Luo, C.

Luo, X.

Ma, Q.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Maier, S. A.

J. D. Caldwell, L. Lindsay, V. Giannini, I. Vurgaftman, T. L. Reinecke, S. A. Maier, and O. J. Glembocki, “Low-loss, infrared and terahertz nanophotonics using surface phonon polaritons,” Nanophotonics 4(1), 44–68 (2015).
[Crossref]

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Subdiffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5(1), 5221 (2014).
[Crossref] [PubMed]

Maissen, C.

Martin-Moreno, L.

A. Yu. Nikitin, F. Guinea, and L. Martin-Moreno, “Resonant plasmonic effects in periodic graphene antidot arrays,” Appl. Phys. Lett. 101(15), 151119 (2012).
[Crossref]

Mastel, S.

F. J. Alfaro-Mozaz, P. Alonso-González, S. Vélez, I. Dolado, M. Autore, S. Mastel, F. Casanova, L. E. Hueso, P. Li, A. Y. Nikitin, and R. Hillenbrand, “Nanoimaging of resonating hyperbolic polaritons in linear boron nitride antennas,” Nat. Commun. 8, 15624 (2017).
[Crossref] [PubMed]

Mattiucci, N.

N. Mattiucci, M. J. Bloemer, N. Aközbek, and G. D’Aguanno, “Impedance matched thin metamaterials make metals absorbing,” Sci. Rep. 3(1), 3203 (2013).
[Crossref] [PubMed]

McLeod, A. S.

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Narimanov, E. E.

Z. Jacob and E. E. Narimanov, “Optical hyperspace for plasmons: Dyakonov states in metamaterials,” Appl. Phys. Lett. 93(22), 221109 (2008).
[Crossref]

Nielsen, M. G.

Nikitin, A. Y.

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “Infrared hyperbolic metasurface based on nanostructured van der waals materials,” Science 359(6378), 892–896 (2018).
[Crossref] [PubMed]

F. J. Alfaro-Mozaz, P. Alonso-González, S. Vélez, I. Dolado, M. Autore, S. Mastel, F. Casanova, L. E. Hueso, P. Li, A. Y. Nikitin, and R. Hillenbrand, “Nanoimaging of resonating hyperbolic polaritons in linear boron nitride antennas,” Nat. Commun. 8, 15624 (2017).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “infrared hyperbolic metasurface based on nanostructured van der waals materials,” Appl. Phys. Lett. 99, 211106 (2011).

Nikitin, A. Yu.

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Yu. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

A. Yu. Nikitin, F. Guinea, and L. Martin-Moreno, “Resonant plasmonic effects in periodic graphene antidot arrays,” Appl. Phys. Lett. 101(15), 151119 (2012).
[Crossref]

Novoselov, K. S.

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Subdiffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5(1), 5221 (2014).
[Crossref] [PubMed]

A. N. Grigorenko, M. Polini, and K. S. Novoselov, “Graphene plasmonics,” Nat. Photonics 6(11), 749–758 (2012).
[Crossref]

Ozbay, E.

Padilla, W. J.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
[Crossref] [PubMed]

Polini, M.

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

A. N. Grigorenko, M. Polini, and K. S. Novoselov, “Graphene plasmonics,” Nat. Photonics 6(11), 749–758 (2012).
[Crossref]

Pors, A.

Principi, A.

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

Regan, W.

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Reinecke, T. L.

J. D. Caldwell, L. Lindsay, V. Giannini, I. Vurgaftman, T. L. Reinecke, S. A. Maier, and O. J. Glembocki, “Low-loss, infrared and terahertz nanophotonics using surface phonon polaritons,” Nanophotonics 4(1), 44–68 (2015).
[Crossref]

Rockstuhl, C.

R. Alaee, M. Albooyeh, and C. Rockstuhl, “Theory of metasurface based perfect absorbers,” J. Phys. D Appl. Phys. 50(50), 503002 (2017).
[Crossref]

R. Alaee, M. Farhat, C. Rockstuhl, and F. Lederer, “A perfect absorber made of a graphene micro-ribbon metamaterial,” Opt. Express 20(27), 28017–28024 (2012).
[Crossref] [PubMed]

Rodin, A. S.

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Rosenmann, D.

Schaefer, J. A.

R. J. Koch, Th. Seyller, and J. A. Schaefer, “Strong phonon-plasmon coupled modes in the graphene/silicon carbide heterosystem,” Phys. Rev. B 82(20), 201413 (2010).
[Crossref]

Scheicher, R. H.

F. A. L. de Souza, R. G. Amorim, W. L. Scopel, and R. H. Scheicher, “Nano-structured interface of graphene and h-BN for sensing applications,” Nanotechnology 27(36), 365503 (2016).
[Crossref] [PubMed]

Scopel, W. L.

F. A. L. de Souza, R. G. Amorim, W. L. Scopel, and R. H. Scheicher, “Nano-structured interface of graphene and h-BN for sensing applications,” Nanotechnology 27(36), 365503 (2016).
[Crossref] [PubMed]

Senanayake, P.

P. Senanayake, C. H. Hung, J. Shapiro, A. Lin, B. Liang, B. S. Williams, and D. L. Huffaker, “Surface plasmon-enhanced nanopillar photodetectors,” Nano Lett. 11(12), 5279–5283 (2011).
[Crossref] [PubMed]

Seyller, Th.

R. J. Koch, Th. Seyller, and J. A. Schaefer, “Strong phonon-plasmon coupled modes in the graphene/silicon carbide heterosystem,” Phys. Rev. B 82(20), 201413 (2010).
[Crossref]

Shapiro, J.

P. Senanayake, C. H. Hung, J. Shapiro, A. Lin, B. Liang, B. S. Williams, and D. L. Huffaker, “Surface plasmon-enhanced nanopillar photodetectors,” Nano Lett. 11(12), 5279–5283 (2011).
[Crossref] [PubMed]

Sherrott, M.

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

V. W. Brar, M. S. Jang, M. Sherrott, J. J. Lopez, and H. A. Atwater, “Highly confined tunable mid-infrared plasmonics in graphene nanoresonators,” Nano Lett. 13(6), 2541–2547 (2013).
[Crossref] [PubMed]

Soltani-Vala, A.

H. Hajian, A. Soltani-Vala, and M. Kalafi, “Optimizing terahertz surface plasmons of a monolayer graphene and a graphene parallel plate waveguide using one-dimensional photonic crystal,” J. Appl. Phys. 114(3), 033102 (2013).
[Crossref]

Stan, L.

Starr, A. F.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
[Crossref] [PubMed]

Starr, T.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
[Crossref] [PubMed]

Tang, D.

Y. Xiang, X. Dai, J. Guo, H. Zhang, S. Wen, and D. Tang, “Critical coupling with graphene-based hyperbolic metamaterials,” Sci. Rep. 4(1), 5483 (2014).
[Crossref] [PubMed]

Taniguchi, T.

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Subdiffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5(1), 5221 (2014).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Thiemens, M.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Thongrattanasiri, S.

S. Thongrattanasiri, F. H. Koppens, and F. J. García de Abajo, “Complete optical absorption in periodically patterned graphene,” Phys. Rev. Lett. 108(4), 047401 (2012).
[Crossref] [PubMed]

Tischler, J. G.

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Subdiffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5(1), 5221 (2014).
[Crossref] [PubMed]

Toprak, A.

Tyler, T.

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
[Crossref] [PubMed]

Valmorra, F.

Vélez, S.

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “Infrared hyperbolic metasurface based on nanostructured van der waals materials,” Science 359(6378), 892–896 (2018).
[Crossref] [PubMed]

F. J. Alfaro-Mozaz, P. Alonso-González, S. Vélez, I. Dolado, M. Autore, S. Mastel, F. Casanova, L. E. Hueso, P. Li, A. Y. Nikitin, and R. Hillenbrand, “Nanoimaging of resonating hyperbolic polaritons in linear boron nitride antennas,” Nat. Commun. 8, 15624 (2017).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Yu. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “infrared hyperbolic metasurface based on nanostructured van der waals materials,” Appl. Phys. Lett. 99, 211106 (2011).

Vignale, G.

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

Vurgaftman, I.

J. D. Caldwell, L. Lindsay, V. Giannini, I. Vurgaftman, T. L. Reinecke, S. A. Maier, and O. J. Glembocki, “Low-loss, infrared and terahertz nanophotonics using surface phonon polaritons,” Nanophotonics 4(1), 44–68 (2015).
[Crossref]

Wagner, M.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Wang, H.

B. Deng, Q. Guo, C. Li, H. Wang, X. Ling, D. B. Farmer, S. J. Han, J. Kong, and F. Xia, “Coupling-enhanced broadband mid-infrared light absorption in graphene plasmonic nanostructures,” ACS Nano 10(12), 11172–11178 (2016).
[Crossref] [PubMed]

J. Wu, H. Wang, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

Y. Jia, H. Zhao, Q. Guo, X. Wang, H. Wang, and F. Xia, “Tunable plasmon–phonon polaritons in layered graphene–hexagonal boron nitride heterostructures,” ACS Photonics 2(7), 907–912 (2015).
[Crossref]

Wang, J.

Wang, L.

H. Li, L. Wang, and X. Zhai, “Tunable graphene-based midinfrared plasmonic wide-angle narrowband perfect absorber,” Sci. Rep. 6(1), 36651 (2016).
[Crossref] [PubMed]

Wang, X.

X. Wang, X. Jiang, Q. You, J. Guo, X. Dai, and Y. Xiang, “Tunable and multichannel terahertz perfect absorber due to Tamm surface plasmons with graphene,” Photon. Res. 5(6), 536 (2018).
[Crossref]

Y. Jia, H. Zhao, Q. Guo, X. Wang, H. Wang, and F. Xia, “Tunable plasmon–phonon polaritons in layered graphene–hexagonal boron nitride heterostructures,” ACS Photonics 2(7), 907–912 (2015).
[Crossref]

Watanabe, K.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Subdiffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5(1), 5221 (2014).
[Crossref] [PubMed]

Wen, S.

J. Wu, H. Wang, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

J. Wu, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Turnable perfect absorption at infrared frequencies by a Graphene-hBN Hyper Crystal,” Opt. Express 24(15), 17103–17114 (2016).
[Crossref] [PubMed]

Y. Xiang, X. Dai, J. Guo, H. Zhang, S. Wen, and D. Tang, “Critical coupling with graphene-based hyperbolic metamaterials,” Sci. Rep. 4(1), 5483 (2014).
[Crossref] [PubMed]

Williams, B. S.

P. Senanayake, C. H. Hung, J. Shapiro, A. Lin, B. Liang, B. S. Williams, and D. L. Huffaker, “Surface plasmon-enhanced nanopillar photodetectors,” Nano Lett. 11(12), 5279–5283 (2011).
[Crossref] [PubMed]

Willis, R. F.

Y. Liu and R. F. Willis, “Plasmon-phonon strongly coupled mode in epitaxial graphene,” Phys. Rev. B 81(8), 081406 (2010).
[Crossref]

Woessner, A.

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

Woods, C. R.

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Subdiffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5(1), 5221 (2014).
[Crossref] [PubMed]

Wu, J.

J. Wu, H. Wang, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

J. Wu, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Turnable perfect absorption at infrared frequencies by a Graphene-hBN Hyper Crystal,” Opt. Express 24(15), 17103–17114 (2016).
[Crossref] [PubMed]

Wu, L.

J. Guo, L. Wu, X. Daia, Y. Xiang, and D. Fan, “Absorption enhancement and total absorption in a graphene-waveguide hybrid structure,” AIP Adv. 7(2), 025101 (2017).
[Crossref]

Wu, Y.

H. Yan, T. Low, W. Zhu, Y. Wu, M. Freitag, X. Li, F. Guinea, P. Avouris, and F. Xia, “Damping pathways of mid-infrared plasmons in graphene nanostructures,” Nat. Photonics 7(5), 394–399 (2013).
[Crossref]

Xia, F.

B. Deng, Q. Guo, C. Li, H. Wang, X. Ling, D. B. Farmer, S. J. Han, J. Kong, and F. Xia, “Coupling-enhanced broadband mid-infrared light absorption in graphene plasmonic nanostructures,” ACS Nano 10(12), 11172–11178 (2016).
[Crossref] [PubMed]

Y. Jia, H. Zhao, Q. Guo, X. Wang, H. Wang, and F. Xia, “Tunable plasmon–phonon polaritons in layered graphene–hexagonal boron nitride heterostructures,” ACS Photonics 2(7), 907–912 (2015).
[Crossref]

H. Yan, T. Low, W. Zhu, Y. Wu, M. Freitag, X. Li, F. Guinea, P. Avouris, and F. Xia, “Damping pathways of mid-infrared plasmons in graphene nanostructures,” Nat. Photonics 7(5), 394–399 (2013).
[Crossref]

Xiang, Y.

X. Wang, X. Jiang, Q. You, J. Guo, X. Dai, and Y. Xiang, “Tunable and multichannel terahertz perfect absorber due to Tamm surface plasmons with graphene,” Photon. Res. 5(6), 536 (2018).
[Crossref]

J. Guo, L. Wu, X. Daia, Y. Xiang, and D. Fan, “Absorption enhancement and total absorption in a graphene-waveguide hybrid structure,” AIP Adv. 7(2), 025101 (2017).
[Crossref]

J. Wu, H. Wang, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

J. Wu, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Turnable perfect absorption at infrared frequencies by a Graphene-hBN Hyper Crystal,” Opt. Express 24(15), 17103–17114 (2016).
[Crossref] [PubMed]

Y. Xiang, X. Dai, J. Guo, H. Zhang, S. Wen, and D. Tang, “Critical coupling with graphene-based hyperbolic metamaterials,” Sci. Rep. 4(1), 5483 (2014).
[Crossref] [PubMed]

Xu, L.

Yan, H.

H. Yan, T. Low, W. Zhu, Y. Wu, M. Freitag, X. Li, F. Guinea, P. Avouris, and F. Xia, “Damping pathways of mid-infrared plasmons in graphene nanostructures,” Nat. Photonics 7(5), 394–399 (2013).
[Crossref]

Yang, X.

Yao, G.

Yao, J.

You, Q.

Yue, J.

Zettl, A.

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

Zhai, X.

H. Li, L. Wang, and X. Zhai, “Tunable graphene-based midinfrared plasmonic wide-angle narrowband perfect absorber,” Sci. Rep. 6(1), 36651 (2016).
[Crossref] [PubMed]

Zhang, H.

Y. Xiang, X. Dai, J. Guo, H. Zhang, S. Wen, and D. Tang, “Critical coupling with graphene-based hyperbolic metamaterials,” Sci. Rep. 4(1), 5483 (2014).
[Crossref] [PubMed]

Zhang, Z. M.

B. Zhao and Z. M. Zhang, “Perfect mid-infrared absorption by hybrid phonon-plasmon polaritons in hBN/metal grating anisotropic structures,” Int. J. Heat Mass Transfer 106, 1025–1034 (2017).
[Crossref]

B. Zhao and Z. M. Zhang, “Resonance perfect absorption by exciting hyperbolic phonon polaritons in 1D hBN gratings,” Opt. Express 25(7), 7791–7796 (2017).
[Crossref] [PubMed]

Zhao, B.

B. Zhao and Z. M. Zhang, “Resonance perfect absorption by exciting hyperbolic phonon polaritons in 1D hBN gratings,” Opt. Express 25(7), 7791–7796 (2017).
[Crossref] [PubMed]

B. Zhao and Z. M. Zhang, “Perfect mid-infrared absorption by hybrid phonon-plasmon polaritons in hBN/metal grating anisotropic structures,” Int. J. Heat Mass Transfer 106, 1025–1034 (2017).
[Crossref]

Zhao, H.

Y. Jia, H. Zhao, Q. Guo, X. Wang, H. Wang, and F. Xia, “Tunable plasmon–phonon polaritons in layered graphene–hexagonal boron nitride heterostructures,” ACS Photonics 2(7), 907–912 (2015).
[Crossref]

Zhao, L.

Zhao, Z.

Zheng, G.

Zhu, J.

F. Ding, J. Dai, Y. Chen, J. Zhu, Y. Jin, and S. I. Bozhevolnyi, “Broadband near-infrared metamaterial absorbers utilizing highly lossy metals,” Sci. Rep. 6(1), 39445 (2016).
[Crossref] [PubMed]

Zhu, S.-E.

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

Zhu, W.

H. Yan, T. Low, W. Zhu, Y. Wu, M. Freitag, X. Li, F. Guinea, P. Avouris, and F. Xia, “Damping pathways of mid-infrared plasmons in graphene nanostructures,” Nat. Photonics 7(5), 394–399 (2013).
[Crossref]

Zou, X.

ACS Nano (3)

K. Chen, R. Adato, and H. Altug, “Dual-band perfect absorber for multispectral plasmon-enhanced infrared spectroscopy,” ACS Nano 6(9), 7998–8006 (2012).
[Crossref] [PubMed]

T. Low and P. Avouris, “Graphene plasmonics for terahertz to mid-Infrared applications,” ACS Nano 8(2), 1086–1101 (2014).
[Crossref] [PubMed]

B. Deng, Q. Guo, C. Li, H. Wang, X. Ling, D. B. Farmer, S. J. Han, J. Kong, and F. Xia, “Coupling-enhanced broadband mid-infrared light absorption in graphene plasmonic nanostructures,” ACS Nano 10(12), 11172–11178 (2016).
[Crossref] [PubMed]

ACS Photonics (2)

A. Lochbaum, Y. Fedoryshyn, A. Dorodnyy, U. Koch, C. Hafner, and J. Leuthold, “On-chip narrowband thermal emitter for mid-IR optical gas sensing,” ACS Photonics 4(6), 1371–1380 (2017).
[Crossref]

Y. Jia, H. Zhao, Q. Guo, X. Wang, H. Wang, and F. Xia, “Tunable plasmon–phonon polaritons in layered graphene–hexagonal boron nitride heterostructures,” ACS Photonics 2(7), 907–912 (2015).
[Crossref]

AIP Adv. (1)

J. Guo, L. Wu, X. Daia, Y. Xiang, and D. Fan, “Absorption enhancement and total absorption in a graphene-waveguide hybrid structure,” AIP Adv. 7(2), 025101 (2017).
[Crossref]

Appl. Phys. Lett. (4)

Z. Jacob and E. E. Narimanov, “Optical hyperspace for plasmons: Dyakonov states in metamaterials,” Appl. Phys. Lett. 93(22), 221109 (2008).
[Crossref]

J. R. Cole and N. J. Halas, “Optimized plasmonic nanoparticle distributions for solar spectrum harvesting,” Appl. Phys. Lett. 89(15), 153120 (2006).
[Crossref]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “infrared hyperbolic metasurface based on nanostructured van der waals materials,” Appl. Phys. Lett. 99, 211106 (2011).

A. Yu. Nikitin, F. Guinea, and L. Martin-Moreno, “Resonant plasmonic effects in periodic graphene antidot arrays,” Appl. Phys. Lett. 101(15), 151119 (2012).
[Crossref]

Int. J. Heat Mass Transfer (1)

B. Zhao and Z. M. Zhang, “Perfect mid-infrared absorption by hybrid phonon-plasmon polaritons in hBN/metal grating anisotropic structures,” Int. J. Heat Mass Transfer 106, 1025–1034 (2017).
[Crossref]

J. Appl. Phys. (4)

J. Wu, H. Wang, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Critical coupling using the hexagonal boron nitride crystals in the mid-infrared range,” J. Appl. Phys. 119(20), 203107 (2016).
[Crossref]

H. Hajian, H. Caglayan, and E. Ozbay, “Long-range Tamm surface plasmons supported by graphene-dielectric metamaterials,” J. Appl. Phys. 121(3), 033101 (2017).
[Crossref]

G. W. Hanson, “Quasi-transverse electromagnetic modes supported by a graphene parallel-plate waveguide,” J. Appl. Phys. 104(8), 084314 (2008).
[Crossref]

H. Hajian, A. Soltani-Vala, and M. Kalafi, “Optimizing terahertz surface plasmons of a monolayer graphene and a graphene parallel plate waveguide using one-dimensional photonic crystal,” J. Appl. Phys. 114(3), 033102 (2013).
[Crossref]

J. Opt. (1)

A. Boardman, “Pioneers in metamaterials: John Pendry and Victor Veselago,” J. Opt. 13(2), 020401 (2010).
[Crossref]

J. Opt. Soc. Am. B (1)

J. Phys. Conf. Ser. (1)

L. A. Falkovsky, “Optical properties of graphene,” J. Phys. Conf. Ser. 129, 012004 (2008).
[Crossref]

J. Phys. D Appl. Phys. (1)

R. Alaee, M. Albooyeh, and C. Rockstuhl, “Theory of metasurface based perfect absorbers,” J. Phys. D Appl. Phys. 50(50), 503002 (2017).
[Crossref]

Nano Lett. (5)

V. W. Brar, M. S. Jang, M. Sherrott, S. Kim, J. J. Lopez, L. B. Kim, M. Choi, and H. Atwater, “Hybrid surface-phonon-plasmon polariton modes in graphene/monolayer h-BN heterostructures,” Nano Lett. 14(7), 3876–3880 (2014).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, A. Yu. Nikitin, F. Casanova, L. E. Hueso, S. Vélez, and R. Hillenbrand, “Optical nanoimaging of hyperbolic surface polaritons at the edges of van der Waals materials,” Nano Lett. 17(1), 228–235 (2017).
[Crossref] [PubMed]

A. Kumar, T. Low, K. H. Fung, P. Avouris, and N. X. Fang, “Tunable light–matter interaction and the role of hyperbolicity in graphene–hBN system,” Nano Lett. 15(5), 3172–3180 (2015).
[Crossref] [PubMed]

V. W. Brar, M. S. Jang, M. Sherrott, J. J. Lopez, and H. A. Atwater, “Highly confined tunable mid-infrared plasmonics in graphene nanoresonators,” Nano Lett. 13(6), 2541–2547 (2013).
[Crossref] [PubMed]

P. Senanayake, C. H. Hung, J. Shapiro, A. Lin, B. Liang, B. S. Williams, and D. L. Huffaker, “Surface plasmon-enhanced nanopillar photodetectors,” Nano Lett. 11(12), 5279–5283 (2011).
[Crossref] [PubMed]

Nanophotonics (1)

J. D. Caldwell, L. Lindsay, V. Giannini, I. Vurgaftman, T. L. Reinecke, S. A. Maier, and O. J. Glembocki, “Low-loss, infrared and terahertz nanophotonics using surface phonon polaritons,” Nanophotonics 4(1), 44–68 (2015).
[Crossref]

Nanotechnology (1)

F. A. L. de Souza, R. G. Amorim, W. L. Scopel, and R. H. Scheicher, “Nano-structured interface of graphene and h-BN for sensing applications,” Nanotechnology 27(36), 365503 (2016).
[Crossref] [PubMed]

Nat. Commun. (3)

K. Aydin, V. E. Ferry, R. M. Briggs, and H. A. Atwater, “Broadband polarization-independent resonant light absorption using ultrathin plasmonic super absorbers,” Nat. Commun. 2(1), 517 (2011).
[Crossref] [PubMed]

J. D. Caldwell, A. V. Kretinin, Y. Chen, V. Giannini, M. M. Fogler, Y. Francescato, C. T. Ellis, J. G. Tischler, C. R. Woods, A. J. Giles, M. Hong, K. Watanabe, T. Taniguchi, S. A. Maier, and K. S. Novoselov, “Subdiffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nat. Commun. 5(1), 5221 (2014).
[Crossref] [PubMed]

F. J. Alfaro-Mozaz, P. Alonso-González, S. Vélez, I. Dolado, M. Autore, S. Mastel, F. Casanova, L. E. Hueso, P. Li, A. Y. Nikitin, and R. Hillenbrand, “Nanoimaging of resonating hyperbolic polaritons in linear boron nitride antennas,” Nat. Commun. 8, 15624 (2017).
[Crossref] [PubMed]

Nat. Mater. (1)

A. Woessner, M. B. Lundeberg, Y. Gao, A. Principi, P. Alonso-González, M. Carrega, K. Watanabe, T. Taniguchi, G. Vignale, M. Polini, J. Hone, R. Hillenbrand, and F. H. Koppens, “Highly confined low-loss plasmons in graphene-boron nitride heterostructures,” Nat. Mater. 14(4), 421–425 (2015).
[Crossref] [PubMed]

Nat. Nanotechnol. (1)

S. Dai, Q. Ma, M. K. Liu, T. Andersen, Z. Fei, M. D. Goldflam, M. Wagner, K. Watanabe, T. Taniguchi, M. Thiemens, F. Keilmann, G. C. A. M. Janssen, S.-E. Zhu, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotechnol. 10(8), 682–686 (2015).
[Crossref] [PubMed]

Nat. Photonics (2)

H. Yan, T. Low, W. Zhu, Y. Wu, M. Freitag, X. Li, F. Guinea, P. Avouris, and F. Xia, “Damping pathways of mid-infrared plasmons in graphene nanostructures,” Nat. Photonics 7(5), 394–399 (2013).
[Crossref]

A. N. Grigorenko, M. Polini, and K. S. Novoselov, “Graphene plasmonics,” Nat. Photonics 6(11), 749–758 (2012).
[Crossref]

Opt. Express (11)

Y. Bai, L. Zhao, D. Ju, Y. Jiang, and L. Liu, “Wide-angle, polarization-independent and dual-band infrared perfect absorber based on L-shaped metamaterial,” Opt. Express 23(7), 8670–8680 (2015).
[Crossref] [PubMed]

G. Yao, F. Ling, J. Yue, C. Luo, J. Ji, and J. Yao, “Dual-band tunable perfect metamaterial absorber in the THz range,” Opt. Express 24(2), 1518–1527 (2016).
[Crossref] [PubMed]

J. Wu, L. Jiang, J. Guo, X. Dai, Y. Xiang, and S. Wen, “Turnable perfect absorption at infrared frequencies by a Graphene-hBN Hyper Crystal,” Opt. Express 24(15), 17103–17114 (2016).
[Crossref] [PubMed]

B. Zhao and Z. M. Zhang, “Resonance perfect absorption by exciting hyperbolic phonon polaritons in 1D hBN gratings,” Opt. Express 25(7), 7791–7796 (2017).
[Crossref] [PubMed]

C. Hu, L. Liu, Z. Zhao, X. Chen, and X. Luo, “Mixed plasmons coupling for expanding the bandwidth of near-perfect absorption at visible frequencies,” Opt. Express 17(19), 16745–16749 (2009).
[Crossref] [PubMed]

M. G. Nielsen, D. K. Gramotnev, A. Pors, O. Albrektsen, and S. I. Bozhevolnyi, “Continuous layer gap plasmon resonators,” Opt. Express 19(20), 19310–19322 (2011).
[Crossref] [PubMed]

H. T. Chen, “Interference theory of metamaterial perfect absorbers,” Opt. Express 20(7), 7165–7172 (2012).
[Crossref] [PubMed]

M. G. Nielsen, A. Pors, O. Albrektsen, and S. I. Bozhevolnyi, “Efficient absorption of visible radiation by gap plasmon resonators,” Opt. Express 20(12), 13311–13319 (2012).
[Crossref] [PubMed]

R. Alaee, M. Farhat, C. Rockstuhl, and F. Lederer, “A perfect absorber made of a graphene micro-ribbon metamaterial,” Opt. Express 20(27), 28017–28024 (2012).
[Crossref] [PubMed]

A. Ghobadi, H. Hajian, M. Gokbayrak, S. A. Dereshgi, A. Toprak, B. Butun, and E. Ozbay, “Visible light nearly perfect absorber: an optimum unit cell arrangement for near absolute polarization insensitivity,” Opt. Express 25(22), 27624–27634 (2017).
[Crossref] [PubMed]

H. Hajian, A. Ghobadi, B. Butun, and E. Ozbay, “Nearly perfect resonant absorption and coherent thermal emission by hBN-based photonic crystals,” Opt. Express 25(25), 31970–31987 (2017).
[Crossref] [PubMed]

Opt. Lett. (3)

Optica (1)

Photon. Res. (1)

Phys. Rev. B (2)

Y. Liu and R. F. Willis, “Plasmon-phonon strongly coupled mode in epitaxial graphene,” Phys. Rev. B 81(8), 081406 (2010).
[Crossref]

R. J. Koch, Th. Seyller, and J. A. Schaefer, “Strong phonon-plasmon coupled modes in the graphene/silicon carbide heterosystem,” Phys. Rev. B 82(20), 201413 (2010).
[Crossref]

Phys. Rev. Lett. (2)

X. Liu, T. Tyler, T. Starr, A. F. Starr, N. M. Jokerst, and W. J. Padilla, “Taming the blackbody with infrared metamaterials as selective thermal emitters,” Phys. Rev. Lett. 107(4), 045901 (2011).
[Crossref] [PubMed]

S. Thongrattanasiri, F. H. Koppens, and F. J. García de Abajo, “Complete optical absorption in periodically patterned graphene,” Phys. Rev. Lett. 108(4), 047401 (2012).
[Crossref] [PubMed]

Sci. Rep. (6)

H. Li, L. Wang, and X. Zhai, “Tunable graphene-based midinfrared plasmonic wide-angle narrowband perfect absorber,” Sci. Rep. 6(1), 36651 (2016).
[Crossref] [PubMed]

A. Ghobadi, H. Hajian, S. A. Dereshgi, B. Bozok, B. Butun, and E. Ozbay, “Disordered nanohole patterns in metal-insulator multilayer for ultra-broadband light absorption: Atomic layer deposition for lithography free highly repeatable large scale multilayer growth,” Sci. Rep. 7(1), 15079 (2017).
[Crossref] [PubMed]

J. Kim, K. Han, and J. W. Hahn, “Selective dual-band metamaterial perfect absorber for infrared stealth technology,” Sci. Rep. 7(1), 6740 (2017).
[Crossref] [PubMed]

N. Mattiucci, M. J. Bloemer, N. Aközbek, and G. D’Aguanno, “Impedance matched thin metamaterials make metals absorbing,” Sci. Rep. 3(1), 3203 (2013).
[Crossref] [PubMed]

F. Ding, J. Dai, Y. Chen, J. Zhu, Y. Jin, and S. I. Bozhevolnyi, “Broadband near-infrared metamaterial absorbers utilizing highly lossy metals,” Sci. Rep. 6(1), 39445 (2016).
[Crossref] [PubMed]

Y. Xiang, X. Dai, J. Guo, H. Zhang, S. Wen, and D. Tang, “Critical coupling with graphene-based hyperbolic metamaterials,” Sci. Rep. 4(1), 5483 (2014).
[Crossref] [PubMed]

Science (2)

S. Dai, Z. Fei, Q. Ma, A. S. Rodin, M. Wagner, A. S. McLeod, M. K. Liu, W. Gannett, W. Regan, K. Watanabe, T. Taniguchi, M. Thiemens, G. Dominguez, A. H. Castro Neto, A. Zettl, F. Keilmann, P. Jarillo-Herrero, M. M. Fogler, and D. N. Basov, “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343(6175), 1125–1129 (2014).
[Crossref] [PubMed]

P. Li, I. Dolado, F. J. Alfaro-Mozaz, F. Casanova, L. E. Hueso, S. Liu, J. H. Edgar, A. Y. Nikitin, S. Vélez, and R. Hillenbrand, “Infrared hyperbolic metasurface based on nanostructured van der waals materials,” Science 359(6378), 892–896 (2018).
[Crossref] [PubMed]

Other (2)

L. Novotny and B. Hecht, Principles of Nano-Optics (Cambridge University Press, 2012).

Lumerical Solutions, Inc., http://www.lumerical.com/tcadproducts/fdtd .

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1 (a) Schematic of the graphene-based hole-array metamaterial, (b) dispersion curves of SPPs supported by a graphene/dielectric/graphene waveguide, and (c) absorption plot of the metamaterial shown in panel (a). Panels (dj), (ej) and (fj) [j = 1,…,5], respectively, illustrate normalized | E x | top view, | E x | side view and | H y | side view mode profiles at different absorption peaks shown in panel (c). The dashed circles in panels (dj) highlight the hole position in each unit cell, and the dashed rectangles in panels (ej) and (fj) distinguish the position of the top dielectric layer and the bottom gold layer. In our calculation, R = 40 nm, L = 3R, th = 300 nm, ts = 1 μm and tm = 200 nm.
Fig. 2
Fig. 2 (a) Schematic of the hBN-based metamaterial. The hBN layer is patterned as a hole array in square lattice with periodicity L. (b) Dispersion curves of the hyperbolic phonon polaritons, HP2s, supported by a film of hBN. Absorption plot of the structure is illustrated in panel (c) and, R e ( ε x ) [solid blue], I m ( ε x ) [dotted-blue], R e ( ε z ) [solid black], I m ( ε z ) [dotted black] are shown in the inset. Horizontal [vertical] dashed lines in panel (b) [(c)] highlight the edges of the RS-II band of hBN. Top view [side view] of normalized | E x | and side view of normalized | H y | are represented in panels (dj) [(ej)] and (fj), respectively (j = 1,…,5). The hole position in each unit cell and the position of hBN and gold bottom layers are highlighted with dashed circles and rectangles. In the calculations, we took R = 40 nm, L = 3R, th = 300 nm, ts = 1 μm and tm = 200 nm.
Fig. 3
Fig. 3 Schematic of the graphene-hBN-based metamaterial is shown in panel (a) for which the graphene/hBN/graphene multilayer is patterned as a hole array in square lattice with periodicity L. The dispersion curves of the hybrid plasmon-phonon polaritons (SP3s and HP3s) of the graphene/hBN/graphene waveguide are represented in panel (b). The absorption plot of the metamaterial is represented in panel (c). The edges of the RS-II band of hBN are also highlighted with horizontal [vertical] dashed lines in panel (b) [(c)]. The arrangements of profiles of the normalized electric and magnetic fields and also the taken geometrical parameters are the same as Figs. (1) and (2).
Fig. 4
Fig. 4 (a) Reflection coefficient (Г) and effective impedance (eff) of the graphene-hBN-based hole array metamaterial at normal incidence. Plot of Ex in panel (b) visualizes the impedance-matching condition between incident light and the metamaterial at a typical resonant wavelength (i.e. 6.002 μm). The metamaterial in this panel is highlighted by a dashed rectangle.
Fig. 5
Fig. 5 (a) TM polarization absorption as a function of wavelength and angle of incidence. (b) absorption of the graphene-hBN-based metamaterial for different values the hole array periodicity. Absorption as a function of wavelength and the thickness of the dielectric spacer layer is illustrated in panel (c). Panels (d) and (e) represent absorption of the metamaterial for different values of τ and μ of the graphene layers, respectively.

Equations (10)

Equations on this page are rendered with MathJax. Learn more.

H y ( z ) = { a e q a ( z t h / 2 ) ,       z > t h / 2 h 1 e q s z + h 2 e q s z , t h / 2 z t h / 2 s e q s ( z + t h / 2 ) ,       z < t h / 2 ,
tan h ( q s t ) = Γ a + Γ s 1 + Γ a Γ s .
σ g i n t r a ( ω ) = e 2 4 i 2 π { 16 k B T Ω ln ( 2 cos h ( μ 2 k B T ) ) } ,
σ g i n t e r ( ω ) = e 2 4 { 1 2 + 1 π arc tan ( Ω 2 μ 2 k B T ) i 2 π ln ( Ω + 2 μ ) 2 ( Ω 2 μ ) 2 + ( 2 k B T ) 2 } ,
λ P ( n , m ) = β L β 0 n 2 + m 2 .
ε m = ε , m × [ 1 + ω L O , m 2 ω T O , m 2 ω T O , m 2 ω 2 i ω Γ m ] ,   m = t , z ,
tan h ( q h t ) = Γ a + Γ h 1 + Γ a Γ h
Γ j = q h ε x ( ε j q j α ) ( j = a , s )
Z e f f = ( 1 + S 11 ) 2 S 21 2 ( 1 S 11 ) 2 S 21 2
Γ = | Z e f f 1 Z e f f + 1 | .

Metrics