Abstract

Transition-metal dichalcogenides with exceptional electrical and optical properties have emerged as a new platform for atomic-scale optoelectronic devices. However, the poor optical absorption resists their potential applications. The novel method of critical coupling with guided resonances is proposed to realize total absorption of light in monolayer MoS2 both theoretically and numerically. Simulated results illustrate that the perfect absorption with critical coupling is achieved by choosing suitably the ration of the hole radius to the period of the photonic crystal slab, and that the tunability of absorption peaks is obtained by a small change in the period and the thickness of the slab. Intriguingly, such device manifests the unusual polarization-insensitive feature and the good absorption stability over a wide angle range of incidence. The total absorption in monolayer MoSe2, WS2, and WSe2 is realized handily by the same principle. Hence, our results may open up new possibilities for improving the light-matter interaction in monolayer transition-metal dichalcogenides and find utility in wavelength-selective photoluminescence and photodetection.

© 2017 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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    [PubMed]
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2017 (8)

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

L. Jiang, J. Guo, Q. Wang, X. Dai, and Y. Xiang, “Perfect Terahertz Absorption with Graphene Surface Plasmons in the Modified Otto Configuration,” Plasmonics 12(5), 1825–1831 (2017).

J. Cao, J. Wang, G. Yang, Y. Lu, R. Sun, P. Yan, and S. Gao, “Enhancement of broad-band light absorption in monolayer MoS2 using Ag grating hybrid with distributed Bragg reflector,” Superlattices Microstruct. 110, 26–30 (2017).

Y. Long, H. Deng, H. Xu, L. Shen, W. Guo, C. Liu, and C. Guo, “Magnetic coupling metasurface for achieving broad-band and broad-angular absorption in the MoS2 monolayer,” Opt. Mater. Express 7(1), 100–110 (2017).

J. Hu, Y. Qing, S. Yang, Y. Ren, X. Wu, W. Gao, and C. Wu, “Tailoring total absorption in a graphene monolayer covered subwavelength multilayer dielectric grating structure at near-infrared frequencies,” J. Opt. Soc. Am. B 34(4), 861–868 (2017).

H. Lu, X. Gan, D. Mao, Y. Fan, D. Yang, and J. Zhao, “Nearly perfect absorption of light in monolayer molybdenum disulfide supported by multilayer structures,” Opt. Express 25(18), 21630–21636 (2017).
[PubMed]

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), 536–542 (2017).

X. Jiang, T. Wang, S. Xiao, X. Yan, and L. Cheng, “Tunable ultra-high-efficiency light absorption of monolayer graphene using critical coupling with guided resonance,” Opt. Express 25(22), 27028–27036 (2017).
[PubMed]

2016 (7)

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).
[PubMed]

H. J. Li, L. L. Wang, and X. Zhai, “Plasmonically induced absorption and transparency based on MIM waveguides with concentric nanorings,” IEEE Photonics Technol. Lett. 28(13), 1454–1457 (2016).

C. Janisch, H. Song, C. Zhou, Z. Lin, A. L. Elías, D. Ji, and Z. Liu, “MoS2 monolayers on nanocavities: enhancement in light–matter interaction,” 2D Mater. 3(2), 025017 (2016).

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).

S. M. Bahauddin, H. Robatjazi, and I. Thomann, “Broadband absorption engineering to enhance light absorption in monolayer MoS2,” ACS Photonics 3(5), 853–862 (2016).

K. F. Mak and J. Shan, “Photonics and optoelectronics of 2D semiconductor transition metal dichalcogenides,” Nat. Photonics 10(4), 216–226 (2016).

S. Xiao, T. Wang, Y. Liu, C. Xu, X. Han, and X. Yan, “Tunable light trapping and absorption enhancement with graphene ring arrays,” Phys. Chem. Chem. Phys. 18(38), 26661–26669 (2016).
[PubMed]

2015 (3)

Y. Cai, J. Zhu, and Q. H. Liu, “Tunable enhanced optical absorption of graphene using plasmonic perfect absorbers,” Appl. Phys. Lett. 106(4), 043105 (2015).

H. Zhao, Q. Guo, F. Xia, and H. Wang, “Two-dimensional materials for nanophotonics application,” Nanophotonics 4(1), 128–142 (2015).

S. Butun, S. Tongay, and K. Aydin, “Enhanced light emission from large-area monolayer MoS2 using plasmonic nanodisc arrays,” Nano Lett. 15(4), 2700–2704 (2015).
[PubMed]

2014 (10)

J. T. Liu, T. B. Wang, X. J. Li, and N. H. Liu, “Enhanced absorption of monolayer MoS2 with resonant back reflector,” J. Appl. Phys. 115(19), 193511 (2014).

J. R. Piper and S. Fan, “Total absorption in a graphene monolayer in the optical regime by critical coupling with a photonic crystal guided resonance,” ACS Photonics 1(4), 347–353 (2014).

A. Sobhani, A. Lauchner, S. Najmaei, C. Ayala-Orozco, F. Wen, J. Lou, and N. J. Halas, “Enhancing the photocurrent and photoluminescence of single crystal monolayer MoS2 with resonant plasmonic nanoshells,” Appl. Phys. Lett. 104(3), 031112 (2014).

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

H. J. Li, L. L. Wang, B. Sun, Z. R. Huang, and X. Zhai, “Tunable mid-infrared plasmonic band-pass filter based on a single graphene sheet with cavities,” J. Appl. Phys. 116(22), 224505 (2014).

V. Tran and L. Yang, “Scaling laws for the band gap and optical response of phosphorene nanoribbons,” Phys. Rev. B 89(24), 245407 (2014).

Z. Sun and H. Chang, “Graphene and graphene-like two-dimensional materials in photodetection: mechanisms and methodology,” ACS Nano 8(5), 4133–4156 (2014).
[PubMed]

Y. Zhang, Y. Feng, B. Zhu, J. Zhao, and T. Jiang, “Graphene based tunable metamaterial absorber and polarization modulation in terahertz frequency,” Opt. Express 22(19), 22743–22752 (2014).
[PubMed]

X. H. Deng, J. T. Liu, J. Yuan, T. B. Wang, and N. H. Liu, “Tunable THz absorption in graphene-based heterostructures,” Opt. Express 22(24), 30177–30183 (2014).
[PubMed]

Y. Li, A. Chernikov, X. Zhang, A. Rigosi, H. M. Hill, A. M. van der Zande, and T. F. Heinz, “Measurement of the optical dielectric function of monolayer transition-metal dichalcogenides: MoS2, MoSe2, WS2, and WSe2,” Phys. Rev. B 90(20), 205422 (2014).

2013 (8)

H. R. Gutiérrez, N. Perea-López, A. L. Elías, A. Berkdemir, B. Wang, R. Lv, F. López-Urías, V. H. Crespi, H. Terrones, and M. Terrones, “Extraordinary room-temperature photoluminescence in triangular WS2 monolayers,” Nano Lett. 13(8), 3447–3454 (2013).
[PubMed]

M. Bernardi, M. Palummo, and J. C. Grossman, “Extraordinary sunlight absorption and one nanometer thick photovoltaics using two-dimensional monolayer materials,” Nano Lett. 13(8), 3664–3670 (2013).
[PubMed]

J. W. Park, P. V. Tuong, J. Y. Rhee, K. W. Kim, W. H. Jang, E. H. Choi, L. Y. Chen, and Y. Lee, “Multi-band metamaterial absorber based on the arrangement of donut-type resonators,” Opt. Express 21(8), 9691–9702 (2013).
[PubMed]

W. B. Lu, W. Zhu, H. J. Xu, Z. H. Ni, Z. G. Dong, and T. J. Cui, “Flexible transformation plasmonics using graphene,” Opt. Express 21(9), 10475–10482 (2013).
[PubMed]

H. Cheng, S. Chen, P. Yu, J. Li, L. Deng, and J. Tian, “Mid-infrared tunable optical polarization converter composed of asymmetric graphene nanocrosses,” Opt. Lett. 38(9), 1567–1569 (2013).
[PubMed]

A. K. Geim and I. V. Grigorieva, “Van der Waals heterostructures,” Nature 499(7459), 419–425 (2013).
[PubMed]

H. J. Li, L. L. Wang, J. Q. Liu, Z. R. Huang, B. Sun, and X. Zhai, “Investigation of the graphene based planar plasmonic filters,” Appl. Phys. Lett. 103(21), 211104 (2013).

O. Lopez-Sanchez, D. Lembke, M. Kayci, A. Radenovic, and A. Kis, “Ultrasensitive photodetectors based on monolayer MoS2.,” Nat. Nanotechnol. 8(7), 497–501 (2013).
[PubMed]

2012 (8)

B. Sensale-Rodriguez, R. Yan, M. M. Kelly, T. Fang, K. Tahy, W. S. Hwang, D. Jena, L. Liu, and H. G. Xing, “Broadband graphene terahertz modulators enabled by intraband transitions,” Nat. Commun. 3, 780–787 (2012).
[PubMed]

D. J. Late, B. Liu, H. S. Matte, V. P. Dravid, and C. N. R. Rao, “Hysteresis in single-layer MoS2 field effect transistors,” ACS Nano 6(6), 5635–5641 (2012).
[PubMed]

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

A. Andryieuski, A. V. Lavrinenko, and D. N. Chigrin, “Graphene hyperlens for terahertz radiation,” Phys. Rev. B 86(12), 121108 (2012).

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).
[PubMed]

Q. H. Wang, K. Kalantar-Zadeh, A. Kis, J. N. Coleman, and M. S. Strano, “Electronics and optoelectronics of two-dimensional transition metal dichalcogenides,” Nat. Nanotechnol. 7(11), 699–712 (2012).
[PubMed]

Q. Bao and K. P. Loh, “Graphene photonics, plasmonics, and broadband optoelectronic devices,” ACS Nano 6(5), 3677–3694 (2012).
[PubMed]

H. Lu, X. Liu, and D. Mao, “Plasmonic analog of electromagnetically induced transparency in multi-nanoresonator-coupled waveguide systems,” Phys. Rev. A 85(5), 053803 (2012).

2011 (2)

A. Vakil and N. Engheta, “Transformation optics using graphene,” Science 332(6035), 1291–1294 (2011).
[PubMed]

P. Y. Chen and A. Alù, “Atomically thin surface cloak using graphene monolayers,” ACS Nano 5(7), 5855–5863 (2011).
[PubMed]

2010 (3)

K. F. Mak, C. Lee, J. Hone, J. Shan, and T. F. Heinz, “Atomically thin MoS2: a new direct-gap semiconductor,” Phys. Rev. Lett. 105(13), 136805 (2010).
[PubMed]

A. Splendiani, L. Sun, Y. Zhang, T. Li, J. Kim, C. Y. Chim, G. Galli, and F. Wang, “Emerging photoluminescence in monolayer MoS2.,” Nano Lett. 10(4), 1271–1275 (2010).
[PubMed]

Q. Li, T. Wang, Y. Su, M. Yan, and M. Qiu, “Coupled mode theory analysis of mode-splitting in coupled cavity system,” Opt. Express 18(8), 8367–8382 (2010).
[PubMed]

2008 (1)

2007 (1)

A. K. Geim and K. S. Novoselov, “The rise of graphene,” Nat. Mater. 6(3), 183–191 (2007).
[PubMed]

2005 (1)

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, “Electromagnetic parameter retrieval from inhomogeneous metamaterials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 71(3 Pt 2B), 036617 (2005).
[PubMed]

2002 (1)

S. Fan and J. D. Joannopoulos, “Analysis of guided resonances in photonic crystal slabs,” Phys. Rev. B 65(23), 235112 (2002).

1991 (1)

H. A. Haus and W. Huang, “Coupled-mode theory,” Proc. IEEE 79(10), 1505–1518 (1991).

Alù, A.

P. Y. Chen and A. Alù, “Atomically thin surface cloak using graphene monolayers,” ACS Nano 5(7), 5855–5863 (2011).
[PubMed]

Andryieuski, A.

A. Andryieuski, A. V. Lavrinenko, and D. N. Chigrin, “Graphene hyperlens for terahertz radiation,” Phys. Rev. B 86(12), 121108 (2012).

Ayala-Orozco, C.

A. Sobhani, A. Lauchner, S. Najmaei, C. Ayala-Orozco, F. Wen, J. Lou, and N. J. Halas, “Enhancing the photocurrent and photoluminescence of single crystal monolayer MoS2 with resonant plasmonic nanoshells,” Appl. Phys. Lett. 104(3), 031112 (2014).

Aydin, K.

S. Butun, S. Tongay, and K. Aydin, “Enhanced light emission from large-area monolayer MoS2 using plasmonic nanodisc arrays,” Nano Lett. 15(4), 2700–2704 (2015).
[PubMed]

Bahauddin, S. M.

S. M. Bahauddin, H. Robatjazi, and I. Thomann, “Broadband absorption engineering to enhance light absorption in monolayer MoS2,” ACS Photonics 3(5), 853–862 (2016).

Bao, Q.

Q. Bao and K. P. Loh, “Graphene photonics, plasmonics, and broadband optoelectronic devices,” ACS Nano 6(5), 3677–3694 (2012).
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Ni, Z. H.

Novoselov, K. S.

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

A. K. Geim and K. S. Novoselov, “The rise of graphene,” Nat. Mater. 6(3), 183–191 (2007).
[PubMed]

Palummo, M.

M. Bernardi, M. Palummo, and J. C. Grossman, “Extraordinary sunlight absorption and one nanometer thick photovoltaics using two-dimensional monolayer materials,” Nano Lett. 13(8), 3664–3670 (2013).
[PubMed]

Park, J.

Park, J. W.

Perea-López, N.

H. R. Gutiérrez, N. Perea-López, A. L. Elías, A. Berkdemir, B. Wang, R. Lv, F. López-Urías, V. H. Crespi, H. Terrones, and M. Terrones, “Extraordinary room-temperature photoluminescence in triangular WS2 monolayers,” Nano Lett. 13(8), 3447–3454 (2013).
[PubMed]

Piper, J. R.

J. R. Piper and S. Fan, “Total absorption in a graphene monolayer in the optical regime by critical coupling with a photonic crystal guided resonance,” ACS Photonics 1(4), 347–353 (2014).

Polini, M.

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

Qing, Y.

Qiu, M.

Radenovic, A.

O. Lopez-Sanchez, D. Lembke, M. Kayci, A. Radenovic, and A. Kis, “Ultrasensitive photodetectors based on monolayer MoS2.,” Nat. Nanotechnol. 8(7), 497–501 (2013).
[PubMed]

Rao, C. N. R.

D. J. Late, B. Liu, H. S. Matte, V. P. Dravid, and C. N. R. Rao, “Hysteresis in single-layer MoS2 field effect transistors,” ACS Nano 6(6), 5635–5641 (2012).
[PubMed]

Ren, Y.

Rhee, J. Y.

Rigosi, A.

Y. Li, A. Chernikov, X. Zhang, A. Rigosi, H. M. Hill, A. M. van der Zande, and T. F. Heinz, “Measurement of the optical dielectric function of monolayer transition-metal dichalcogenides: MoS2, MoSe2, WS2, and WSe2,” Phys. Rev. B 90(20), 205422 (2014).

Robatjazi, H.

S. M. Bahauddin, H. Robatjazi, and I. Thomann, “Broadband absorption engineering to enhance light absorption in monolayer MoS2,” ACS Photonics 3(5), 853–862 (2016).

Sensale-Rodriguez, B.

B. Sensale-Rodriguez, R. Yan, M. M. Kelly, T. Fang, K. Tahy, W. S. Hwang, D. Jena, L. Liu, and H. G. Xing, “Broadband graphene terahertz modulators enabled by intraband transitions,” Nat. Commun. 3, 780–787 (2012).
[PubMed]

Shan, J.

K. F. Mak and J. Shan, “Photonics and optoelectronics of 2D semiconductor transition metal dichalcogenides,” Nat. Photonics 10(4), 216–226 (2016).

K. F. Mak, C. Lee, J. Hone, J. Shan, and T. F. Heinz, “Atomically thin MoS2: a new direct-gap semiconductor,” Phys. Rev. Lett. 105(13), 136805 (2010).
[PubMed]

Shen, L.

Smith, D. R.

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, “Electromagnetic parameter retrieval from inhomogeneous metamaterials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 71(3 Pt 2B), 036617 (2005).
[PubMed]

Sobhani, A.

A. Sobhani, A. Lauchner, S. Najmaei, C. Ayala-Orozco, F. Wen, J. Lou, and N. J. Halas, “Enhancing the photocurrent and photoluminescence of single crystal monolayer MoS2 with resonant plasmonic nanoshells,” Appl. Phys. Lett. 104(3), 031112 (2014).

Song, H.

C. Janisch, H. Song, C. Zhou, Z. Lin, A. L. Elías, D. Ji, and Z. Liu, “MoS2 monolayers on nanocavities: enhancement in light–matter interaction,” 2D Mater. 3(2), 025017 (2016).

Soukoulis, C. M.

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, “Electromagnetic parameter retrieval from inhomogeneous metamaterials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 71(3 Pt 2B), 036617 (2005).
[PubMed]

Splendiani, A.

A. Splendiani, L. Sun, Y. Zhang, T. Li, J. Kim, C. Y. Chim, G. Galli, and F. Wang, “Emerging photoluminescence in monolayer MoS2.,” Nano Lett. 10(4), 1271–1275 (2010).
[PubMed]

Strano, M. S.

Q. H. Wang, K. Kalantar-Zadeh, A. Kis, J. N. Coleman, and M. S. Strano, “Electronics and optoelectronics of two-dimensional transition metal dichalcogenides,” Nat. Nanotechnol. 7(11), 699–712 (2012).
[PubMed]

Su, Y.

Sun, B.

H. J. Li, L. L. Wang, B. Sun, Z. R. Huang, and X. Zhai, “Tunable mid-infrared plasmonic band-pass filter based on a single graphene sheet with cavities,” J. Appl. Phys. 116(22), 224505 (2014).

H. J. Li, L. L. Wang, J. Q. Liu, Z. R. Huang, B. Sun, and X. Zhai, “Investigation of the graphene based planar plasmonic filters,” Appl. Phys. Lett. 103(21), 211104 (2013).

Sun, L.

A. Splendiani, L. Sun, Y. Zhang, T. Li, J. Kim, C. Y. Chim, G. Galli, and F. Wang, “Emerging photoluminescence in monolayer MoS2.,” Nano Lett. 10(4), 1271–1275 (2010).
[PubMed]

Sun, R.

J. Cao, J. Wang, G. Yang, Y. Lu, R. Sun, P. Yan, and S. Gao, “Enhancement of broad-band light absorption in monolayer MoS2 using Ag grating hybrid with distributed Bragg reflector,” Superlattices Microstruct. 110, 26–30 (2017).

Sun, Z.

Z. Sun and H. Chang, “Graphene and graphene-like two-dimensional materials in photodetection: mechanisms and methodology,” ACS Nano 8(5), 4133–4156 (2014).
[PubMed]

Tahy, K.

B. Sensale-Rodriguez, R. Yan, M. M. Kelly, T. Fang, K. Tahy, W. S. Hwang, D. Jena, L. Liu, and H. G. Xing, “Broadband graphene terahertz modulators enabled by intraband transitions,” Nat. Commun. 3, 780–787 (2012).
[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, 5483 (2014).
[PubMed]

Terrones, H.

H. R. Gutiérrez, N. Perea-López, A. L. Elías, A. Berkdemir, B. Wang, R. Lv, F. López-Urías, V. H. Crespi, H. Terrones, and M. Terrones, “Extraordinary room-temperature photoluminescence in triangular WS2 monolayers,” Nano Lett. 13(8), 3447–3454 (2013).
[PubMed]

Terrones, M.

H. R. Gutiérrez, N. Perea-López, A. L. Elías, A. Berkdemir, B. Wang, R. Lv, F. López-Urías, V. H. Crespi, H. Terrones, and M. Terrones, “Extraordinary room-temperature photoluminescence in triangular WS2 monolayers,” Nano Lett. 13(8), 3447–3454 (2013).
[PubMed]

Thomann, I.

S. M. Bahauddin, H. Robatjazi, and I. Thomann, “Broadband absorption engineering to enhance light absorption in monolayer MoS2,” ACS Photonics 3(5), 853–862 (2016).

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).
[PubMed]

Tian, J.

Tongay, S.

S. Butun, S. Tongay, and K. Aydin, “Enhanced light emission from large-area monolayer MoS2 using plasmonic nanodisc arrays,” Nano Lett. 15(4), 2700–2704 (2015).
[PubMed]

Tran, V.

V. Tran and L. Yang, “Scaling laws for the band gap and optical response of phosphorene nanoribbons,” Phys. Rev. B 89(24), 245407 (2014).

Tuong, P. V.

Vakil, A.

A. Vakil and N. Engheta, “Transformation optics using graphene,” Science 332(6035), 1291–1294 (2011).
[PubMed]

van der Zande, A. M.

Y. Li, A. Chernikov, X. Zhang, A. Rigosi, H. M. Hill, A. M. van der Zande, and T. F. Heinz, “Measurement of the optical dielectric function of monolayer transition-metal dichalcogenides: MoS2, MoSe2, WS2, and WSe2,” Phys. Rev. B 90(20), 205422 (2014).

Vier, D. C.

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, “Electromagnetic parameter retrieval from inhomogeneous metamaterials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 71(3 Pt 2B), 036617 (2005).
[PubMed]

Wang, B.

H. R. Gutiérrez, N. Perea-López, A. L. Elías, A. Berkdemir, B. Wang, R. Lv, F. López-Urías, V. H. Crespi, H. Terrones, and M. Terrones, “Extraordinary room-temperature photoluminescence in triangular WS2 monolayers,” Nano Lett. 13(8), 3447–3454 (2013).
[PubMed]

Wang, F.

A. Splendiani, L. Sun, Y. Zhang, T. Li, J. Kim, C. Y. Chim, G. Galli, and F. Wang, “Emerging photoluminescence in monolayer MoS2.,” Nano Lett. 10(4), 1271–1275 (2010).
[PubMed]

Wang, H.

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).

H. Zhao, Q. Guo, F. Xia, and H. Wang, “Two-dimensional materials for nanophotonics application,” Nanophotonics 4(1), 128–142 (2015).

Wang, J.

J. Cao, J. Wang, G. Yang, Y. Lu, R. Sun, P. Yan, and S. Gao, “Enhancement of broad-band light absorption in monolayer MoS2 using Ag grating hybrid with distributed Bragg reflector,” Superlattices Microstruct. 110, 26–30 (2017).

Wang, L. L.

H. J. Li, L. L. Wang, and X. Zhai, “Plasmonically induced absorption and transparency based on MIM waveguides with concentric nanorings,” IEEE Photonics Technol. Lett. 28(13), 1454–1457 (2016).

H. J. Li, L. L. Wang, B. Sun, Z. R. Huang, and X. Zhai, “Tunable mid-infrared plasmonic band-pass filter based on a single graphene sheet with cavities,” J. Appl. Phys. 116(22), 224505 (2014).

H. J. Li, L. L. Wang, J. Q. Liu, Z. R. Huang, B. Sun, and X. Zhai, “Investigation of the graphene based planar plasmonic filters,” Appl. Phys. Lett. 103(21), 211104 (2013).

Wang, Q.

L. Jiang, J. Guo, Q. Wang, X. Dai, and Y. Xiang, “Perfect Terahertz Absorption with Graphene Surface Plasmons in the Modified Otto Configuration,” Plasmonics 12(5), 1825–1831 (2017).

Wang, Q. H.

Q. H. Wang, K. Kalantar-Zadeh, A. Kis, J. N. Coleman, and M. S. Strano, “Electronics and optoelectronics of two-dimensional transition metal dichalcogenides,” Nat. Nanotechnol. 7(11), 699–712 (2012).
[PubMed]

Wang, T.

Wang, T. B.

X. H. Deng, J. T. Liu, J. Yuan, T. B. Wang, and N. H. Liu, “Tunable THz absorption in graphene-based heterostructures,” Opt. Express 22(24), 30177–30183 (2014).
[PubMed]

J. T. Liu, T. B. Wang, X. J. Li, and N. H. Liu, “Enhanced absorption of monolayer MoS2 with resonant back reflector,” J. Appl. Phys. 115(19), 193511 (2014).

Wang, X.

Wen, F.

A. Sobhani, A. Lauchner, S. Najmaei, C. Ayala-Orozco, F. Wen, J. Lou, and N. J. Halas, “Enhancing the photocurrent and photoluminescence of single crystal monolayer MoS2 with resonant plasmonic nanoshells,” Appl. Phys. Lett. 104(3), 031112 (2014).

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).

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).
[PubMed]

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

Wu, C.

Wu, J.

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).
[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).

Wu, L.

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

Wu, X.

Xia, F.

H. Zhao, Q. Guo, F. Xia, and H. Wang, “Two-dimensional materials for nanophotonics application,” Nanophotonics 4(1), 128–142 (2015).

Xiang, Y.

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

L. Jiang, J. Guo, Q. Wang, X. Dai, and Y. Xiang, “Perfect Terahertz Absorption with Graphene Surface Plasmons in the Modified Otto Configuration,” Plasmonics 12(5), 1825–1831 (2017).

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), 536–542 (2017).

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).
[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).

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

Xiao, S.

X. Jiang, T. Wang, S. Xiao, X. Yan, and L. Cheng, “Tunable ultra-high-efficiency light absorption of monolayer graphene using critical coupling with guided resonance,” Opt. Express 25(22), 27028–27036 (2017).
[PubMed]

S. Xiao, T. Wang, Y. Liu, C. Xu, X. Han, and X. Yan, “Tunable light trapping and absorption enhancement with graphene ring arrays,” Phys. Chem. Chem. Phys. 18(38), 26661–26669 (2016).
[PubMed]

Xing, H. G.

B. Sensale-Rodriguez, R. Yan, M. M. Kelly, T. Fang, K. Tahy, W. S. Hwang, D. Jena, L. Liu, and H. G. Xing, “Broadband graphene terahertz modulators enabled by intraband transitions,” Nat. Commun. 3, 780–787 (2012).
[PubMed]

Xu, C.

S. Xiao, T. Wang, Y. Liu, C. Xu, X. Han, and X. Yan, “Tunable light trapping and absorption enhancement with graphene ring arrays,” Phys. Chem. Chem. Phys. 18(38), 26661–26669 (2016).
[PubMed]

Xu, H.

Xu, H. J.

Yan, M.

Yan, P.

J. Cao, J. Wang, G. Yang, Y. Lu, R. Sun, P. Yan, and S. Gao, “Enhancement of broad-band light absorption in monolayer MoS2 using Ag grating hybrid with distributed Bragg reflector,” Superlattices Microstruct. 110, 26–30 (2017).

Yan, R.

B. Sensale-Rodriguez, R. Yan, M. M. Kelly, T. Fang, K. Tahy, W. S. Hwang, D. Jena, L. Liu, and H. G. Xing, “Broadband graphene terahertz modulators enabled by intraband transitions,” Nat. Commun. 3, 780–787 (2012).
[PubMed]

Yan, X.

X. Jiang, T. Wang, S. Xiao, X. Yan, and L. Cheng, “Tunable ultra-high-efficiency light absorption of monolayer graphene using critical coupling with guided resonance,” Opt. Express 25(22), 27028–27036 (2017).
[PubMed]

S. Xiao, T. Wang, Y. Liu, C. Xu, X. Han, and X. Yan, “Tunable light trapping and absorption enhancement with graphene ring arrays,” Phys. Chem. Chem. Phys. 18(38), 26661–26669 (2016).
[PubMed]

Yang, D.

Yang, G.

J. Cao, J. Wang, G. Yang, Y. Lu, R. Sun, P. Yan, and S. Gao, “Enhancement of broad-band light absorption in monolayer MoS2 using Ag grating hybrid with distributed Bragg reflector,” Superlattices Microstruct. 110, 26–30 (2017).

Yang, L.

V. Tran and L. Yang, “Scaling laws for the band gap and optical response of phosphorene nanoribbons,” Phys. Rev. B 89(24), 245407 (2014).

Yang, S.

You, Q.

Yu, P.

Yuan, J.

Zhai, X.

H. J. Li, L. L. Wang, and X. Zhai, “Plasmonically induced absorption and transparency based on MIM waveguides with concentric nanorings,” IEEE Photonics Technol. Lett. 28(13), 1454–1457 (2016).

H. J. Li, L. L. Wang, B. Sun, Z. R. Huang, and X. Zhai, “Tunable mid-infrared plasmonic band-pass filter based on a single graphene sheet with cavities,” J. Appl. Phys. 116(22), 224505 (2014).

H. J. Li, L. L. Wang, J. Q. Liu, Z. R. Huang, B. Sun, and X. Zhai, “Investigation of the graphene based planar plasmonic filters,” Appl. Phys. Lett. 103(21), 211104 (2013).

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, 5483 (2014).
[PubMed]

Zhang, X.

Y. Li, A. Chernikov, X. Zhang, A. Rigosi, H. M. Hill, A. M. van der Zande, and T. F. Heinz, “Measurement of the optical dielectric function of monolayer transition-metal dichalcogenides: MoS2, MoSe2, WS2, and WSe2,” Phys. Rev. B 90(20), 205422 (2014).

Zhang, Y.

Y. Zhang, Y. Feng, B. Zhu, J. Zhao, and T. Jiang, “Graphene based tunable metamaterial absorber and polarization modulation in terahertz frequency,” Opt. Express 22(19), 22743–22752 (2014).
[PubMed]

A. Splendiani, L. Sun, Y. Zhang, T. Li, J. Kim, C. Y. Chim, G. Galli, and F. Wang, “Emerging photoluminescence in monolayer MoS2.,” Nano Lett. 10(4), 1271–1275 (2010).
[PubMed]

Zhao, H.

H. Zhao, Q. Guo, F. Xia, and H. Wang, “Two-dimensional materials for nanophotonics application,” Nanophotonics 4(1), 128–142 (2015).

Zhao, J.

Zhou, C.

C. Janisch, H. Song, C. Zhou, Z. Lin, A. L. Elías, D. Ji, and Z. Liu, “MoS2 monolayers on nanocavities: enhancement in light–matter interaction,” 2D Mater. 3(2), 025017 (2016).

Zhu, B.

Zhu, J.

Y. Cai, J. Zhu, and Q. H. Liu, “Tunable enhanced optical absorption of graphene using plasmonic perfect absorbers,” Appl. Phys. Lett. 106(4), 043105 (2015).

Zhu, W.

2D Mater. (1)

C. Janisch, H. Song, C. Zhou, Z. Lin, A. L. Elías, D. Ji, and Z. Liu, “MoS2 monolayers on nanocavities: enhancement in light–matter interaction,” 2D Mater. 3(2), 025017 (2016).

ACS Nano (4)

D. J. Late, B. Liu, H. S. Matte, V. P. Dravid, and C. N. R. Rao, “Hysteresis in single-layer MoS2 field effect transistors,” ACS Nano 6(6), 5635–5641 (2012).
[PubMed]

Z. Sun and H. Chang, “Graphene and graphene-like two-dimensional materials in photodetection: mechanisms and methodology,” ACS Nano 8(5), 4133–4156 (2014).
[PubMed]

P. Y. Chen and A. Alù, “Atomically thin surface cloak using graphene monolayers,” ACS Nano 5(7), 5855–5863 (2011).
[PubMed]

Q. Bao and K. P. Loh, “Graphene photonics, plasmonics, and broadband optoelectronic devices,” ACS Nano 6(5), 3677–3694 (2012).
[PubMed]

ACS Photonics (2)

J. R. Piper and S. Fan, “Total absorption in a graphene monolayer in the optical regime by critical coupling with a photonic crystal guided resonance,” ACS Photonics 1(4), 347–353 (2014).

S. M. Bahauddin, H. Robatjazi, and I. Thomann, “Broadband absorption engineering to enhance light absorption in monolayer MoS2,” ACS Photonics 3(5), 853–862 (2016).

AIP Adv. (1)

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

Appl. Phys. Lett. (3)

H. J. Li, L. L. Wang, J. Q. Liu, Z. R. Huang, B. Sun, and X. Zhai, “Investigation of the graphene based planar plasmonic filters,” Appl. Phys. Lett. 103(21), 211104 (2013).

Y. Cai, J. Zhu, and Q. H. Liu, “Tunable enhanced optical absorption of graphene using plasmonic perfect absorbers,” Appl. Phys. Lett. 106(4), 043105 (2015).

A. Sobhani, A. Lauchner, S. Najmaei, C. Ayala-Orozco, F. Wen, J. Lou, and N. J. Halas, “Enhancing the photocurrent and photoluminescence of single crystal monolayer MoS2 with resonant plasmonic nanoshells,” Appl. Phys. Lett. 104(3), 031112 (2014).

IEEE Photonics Technol. Lett. (1)

H. J. Li, L. L. Wang, and X. Zhai, “Plasmonically induced absorption and transparency based on MIM waveguides with concentric nanorings,” IEEE Photonics Technol. Lett. 28(13), 1454–1457 (2016).

J. Appl. Phys. (3)

J. T. Liu, T. B. Wang, X. J. Li, and N. H. Liu, “Enhanced absorption of monolayer MoS2 with resonant back reflector,” J. Appl. Phys. 115(19), 193511 (2014).

H. J. Li, L. L. Wang, B. Sun, Z. R. Huang, and X. Zhai, “Tunable mid-infrared plasmonic band-pass filter based on a single graphene sheet with cavities,” J. Appl. Phys. 116(22), 224505 (2014).

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).

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

Nano Lett. (4)

A. Splendiani, L. Sun, Y. Zhang, T. Li, J. Kim, C. Y. Chim, G. Galli, and F. Wang, “Emerging photoluminescence in monolayer MoS2.,” Nano Lett. 10(4), 1271–1275 (2010).
[PubMed]

M. Bernardi, M. Palummo, and J. C. Grossman, “Extraordinary sunlight absorption and one nanometer thick photovoltaics using two-dimensional monolayer materials,” Nano Lett. 13(8), 3664–3670 (2013).
[PubMed]

S. Butun, S. Tongay, and K. Aydin, “Enhanced light emission from large-area monolayer MoS2 using plasmonic nanodisc arrays,” Nano Lett. 15(4), 2700–2704 (2015).
[PubMed]

H. R. Gutiérrez, N. Perea-López, A. L. Elías, A. Berkdemir, B. Wang, R. Lv, F. López-Urías, V. H. Crespi, H. Terrones, and M. Terrones, “Extraordinary room-temperature photoluminescence in triangular WS2 monolayers,” Nano Lett. 13(8), 3447–3454 (2013).
[PubMed]

Nanophotonics (1)

H. Zhao, Q. Guo, F. Xia, and H. Wang, “Two-dimensional materials for nanophotonics application,” Nanophotonics 4(1), 128–142 (2015).

Nat. Commun. (1)

B. Sensale-Rodriguez, R. Yan, M. M. Kelly, T. Fang, K. Tahy, W. S. Hwang, D. Jena, L. Liu, and H. G. Xing, “Broadband graphene terahertz modulators enabled by intraband transitions,” Nat. Commun. 3, 780–787 (2012).
[PubMed]

Nat. Mater. (1)

A. K. Geim and K. S. Novoselov, “The rise of graphene,” Nat. Mater. 6(3), 183–191 (2007).
[PubMed]

Nat. Nanotechnol. (2)

O. Lopez-Sanchez, D. Lembke, M. Kayci, A. Radenovic, and A. Kis, “Ultrasensitive photodetectors based on monolayer MoS2.,” Nat. Nanotechnol. 8(7), 497–501 (2013).
[PubMed]

Q. H. Wang, K. Kalantar-Zadeh, A. Kis, J. N. Coleman, and M. S. Strano, “Electronics and optoelectronics of two-dimensional transition metal dichalcogenides,” Nat. Nanotechnol. 7(11), 699–712 (2012).
[PubMed]

Nat. Photonics (2)

K. F. Mak and J. Shan, “Photonics and optoelectronics of 2D semiconductor transition metal dichalcogenides,” Nat. Photonics 10(4), 216–226 (2016).

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

Nature (1)

A. K. Geim and I. V. Grigorieva, “Van der Waals heterostructures,” Nature 499(7459), 419–425 (2013).
[PubMed]

Opt. Express (9)

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).
[PubMed]

Y. Zhang, Y. Feng, B. Zhu, J. Zhao, and T. Jiang, “Graphene based tunable metamaterial absorber and polarization modulation in terahertz frequency,” Opt. Express 22(19), 22743–22752 (2014).
[PubMed]

W. B. Lu, W. Zhu, H. J. Xu, Z. H. Ni, Z. G. Dong, and T. J. Cui, “Flexible transformation plasmonics using graphene,” Opt. Express 21(9), 10475–10482 (2013).
[PubMed]

X. Jiang, T. Wang, S. Xiao, X. Yan, and L. Cheng, “Tunable ultra-high-efficiency light absorption of monolayer graphene using critical coupling with guided resonance,” Opt. Express 25(22), 27028–27036 (2017).
[PubMed]

X. H. Deng, J. T. Liu, J. Yuan, T. B. Wang, and N. H. Liu, “Tunable THz absorption in graphene-based heterostructures,” Opt. Express 22(24), 30177–30183 (2014).
[PubMed]

J. Park, H. Kim, and B. Lee, “High order plasmonic Bragg reflection in the metal-insulator-metal waveguide Bragg grating,” Opt. Express 16(1), 413–425 (2008).
[PubMed]

Q. Li, T. Wang, Y. Su, M. Yan, and M. Qiu, “Coupled mode theory analysis of mode-splitting in coupled cavity system,” Opt. Express 18(8), 8367–8382 (2010).
[PubMed]

J. W. Park, P. V. Tuong, J. Y. Rhee, K. W. Kim, W. H. Jang, E. H. Choi, L. Y. Chen, and Y. Lee, “Multi-band metamaterial absorber based on the arrangement of donut-type resonators,” Opt. Express 21(8), 9691–9702 (2013).
[PubMed]

H. Lu, X. Gan, D. Mao, Y. Fan, D. Yang, and J. Zhao, “Nearly perfect absorption of light in monolayer molybdenum disulfide supported by multilayer structures,” Opt. Express 25(18), 21630–21636 (2017).
[PubMed]

Opt. Lett. (1)

Opt. Mater. Express (1)

Photon. Res. (1)

Phys. Chem. Chem. Phys. (1)

S. Xiao, T. Wang, Y. Liu, C. Xu, X. Han, and X. Yan, “Tunable light trapping and absorption enhancement with graphene ring arrays,” Phys. Chem. Chem. Phys. 18(38), 26661–26669 (2016).
[PubMed]

Phys. Rev. A (1)

H. Lu, X. Liu, and D. Mao, “Plasmonic analog of electromagnetically induced transparency in multi-nanoresonator-coupled waveguide systems,” Phys. Rev. A 85(5), 053803 (2012).

Phys. Rev. B (4)

Y. Li, A. Chernikov, X. Zhang, A. Rigosi, H. M. Hill, A. M. van der Zande, and T. F. Heinz, “Measurement of the optical dielectric function of monolayer transition-metal dichalcogenides: MoS2, MoSe2, WS2, and WSe2,” Phys. Rev. B 90(20), 205422 (2014).

S. Fan and J. D. Joannopoulos, “Analysis of guided resonances in photonic crystal slabs,” Phys. Rev. B 65(23), 235112 (2002).

A. Andryieuski, A. V. Lavrinenko, and D. N. Chigrin, “Graphene hyperlens for terahertz radiation,” Phys. Rev. B 86(12), 121108 (2012).

V. Tran and L. Yang, “Scaling laws for the band gap and optical response of phosphorene nanoribbons,” Phys. Rev. B 89(24), 245407 (2014).

Phys. Rev. E Stat. Nonlin. Soft Matter Phys. (1)

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, “Electromagnetic parameter retrieval from inhomogeneous metamaterials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 71(3 Pt 2B), 036617 (2005).
[PubMed]

Phys. Rev. Lett. (2)

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).
[PubMed]

K. F. Mak, C. Lee, J. Hone, J. Shan, and T. F. Heinz, “Atomically thin MoS2: a new direct-gap semiconductor,” Phys. Rev. Lett. 105(13), 136805 (2010).
[PubMed]

Plasmonics (1)

L. Jiang, J. Guo, Q. Wang, X. Dai, and Y. Xiang, “Perfect Terahertz Absorption with Graphene Surface Plasmons in the Modified Otto Configuration,” Plasmonics 12(5), 1825–1831 (2017).

Proc. IEEE (1)

H. A. Haus and W. Huang, “Coupled-mode theory,” Proc. IEEE 79(10), 1505–1518 (1991).

Sci. Rep. (1)

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

Science (1)

A. Vakil and N. Engheta, “Transformation optics using graphene,” Science 332(6035), 1291–1294 (2011).
[PubMed]

Superlattices Microstruct. (1)

J. Cao, J. Wang, G. Yang, Y. Lu, R. Sun, P. Yan, and S. Gao, “Enhancement of broad-band light absorption in monolayer MoS2 using Ag grating hybrid with distributed Bragg reflector,” Superlattices Microstruct. 110, 26–30 (2017).

Other (1)

J. Wu, J. Guo, X. Wang, L. Jiang, X. Dai, Y. Xiang, and S. Wen, “Dual-Band Infrared Near-Perfect Absorption by Fabry-Perot Resonances and Surface Phonons,” Plasmonics (2017). https://doi.org/10.1007/s11468-017-0575-4

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Figures (5)

Fig. 1
Fig. 1

(a) Schematic illustration of the absorption enhancing system composed of the upper monolayer MoS2, the sandwiched photonic crystal slab with circular air holes, and the ultra-thick metal back reflector. (b) Cross-sectional view of the unit cell. Relative structural parameters are indicated.

Fig. 2
Fig. 2

(a) FDTD-simulated and CMT-fitted absorption spectra with critical coupling and the absorption curve of the monolayer MoS2 suspended in air. Inset shows the effective impedance of the perfect absorption peak. (b) Magnetic field |Hz|2 distributions of the guided resonance at the resonant wavelength of λ0 = 679.2 nm. (c) Magnetic field |Hz|2 distributions of the cross section of proposed structure at the resonant wavelength of λ0 = 679.2 nm. (d) Simulated absorption spectra for different radii of the air holes with P = 300 nm and h = 100 nm. Inset illustrates the dependence of the maximum absorption on the radii of air holes, when the system is on resonance.

Fig. 3
Fig. 3

(a) Absorption spectra for different periods with R / P = 0.2 and h = 100 nm. (b) Absorption spectra with different slab thicknesses, where R = 55 nm and P = 275 nm. Inset shows the magnetic field |Hz|2 distributions of the high-order guided resonance at the resonant wavelength of λ0 = 527 nm.

Fig. 4
Fig. 4

Absorption as a function of the wavelength and the polarization angle. Inset illustrates the simulated absorption spectra with different angles of incidence. The slab with P = 275 nm, R = 55 nm, and h = 106 nm is unchanged.

Fig. 5
Fig. 5

Absorption spectra of monolayer TMDCs (e.g. MoSe2, WS2, and WSe2) suspended in air, and that coated on photonic crystal slabs with ultra-thick metal back reflectors. The thicknesses of the monolayer MoSe2, WS2, and WSe2 are 0.646, 0.618, and 0.649 nm respectively. The complex permittivity of monolayer TMDCs measured experimentally by Li et al. is used for our numerical simulations. The photonic crystal slab with P = 275 nm, R = 65 nm, and h = 106 nm is chosen.

Equations (5)

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da dt =( j ω 0 γδ )a+j 2γ S +
S = S + j 2γ a
r= S S + = j( ω ω 0 )+δγ j( ω ω 0 )+γ+δ
A= 4δγ ( ω ω 0 ) 2 + ( γ+δ ) 2
Z( ω )= ( 1+ S 11 ( ω ) ) 2 S 21 ( ω ) 2 ( 1 S 11 ( ω ) ) 2 S 21 ( ω ) 2