High-quality-factor planar optical cavities with laterally stopped, slowed, or reversed light

Steven J. Byrnes; Mohammadreza Khorasaninejad; Federico Capasso

doi:10.1364/OE.24.018399

High-quality-factor planar optical cavities with laterally stopped, slowed, or reversed light

Steven J. Byrnes, Mohammadreza Khorasaninejad, and Federico Capasso

Optics Express
Vol. 24,
Issue 16,
pp. 18399-18407
(2016)
•https://doi.org/10.1364/OE.24.018399

Get Citation
Copy Citation Text
Steven J. Byrnes, Mohammadreza Khorasaninejad, and Federico Capasso, "High-quality-factor planar optical cavities with laterally stopped, slowed, or reversed light," Opt. Express 24, 18399-18407 (2016)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Get PDF (2487 KB)
Set citation alerts
Save article

Related Topics
Table of Contents Category
- Quantum Optics
Optics & Photonics Topics
?

The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Laser resonators (140.3410)
- Optical resonators (140.4780)
- Quantum optics (270.0270)

About this Article
History
- Original Manuscript: June 20, 2016
- Revised Manuscript: July 22, 2016
- Manuscript Accepted: July 25, 2016
- Published: August 2, 2016

Accessible

Open Access

Abstract

In a planar optical cavity, the resonance frequencies increase as a function of in-plane wavevector according to a standard textbook formula. This has well-known consequences in many different areas of optics, from the shifts of etalon peaks at non-normal angles, to the properties of transverse modes in laser diodes, to the effective mass of microcavity photons, and so on. However, this standard formula is valid only when the reflection phase of each cavity mirror is approximately independent of angle. There is a certain type of mirror—a subwavelength dielectric grating near a guided mode resonance—with not only a strongly angle-dependent reflection phase, but also very high reflectance and low losses. Simulations show that by using such mirrors, high-quality-factor planar cavities can be designed that break all these textbook rules, leading to resonant modes that are slow, stopped or even backward-propagating in the in-plane direction. In particular, we demonstrate experimentally high-Q planar cavities whose resonance frequency is independent of in-plane wavevector—i.e., the resonant modes have zero in-plane group velocity, for one polarization but both in-plane directions. We discuss potential applications in various fields including lasers, quantum optics, and exciton-polariton condensation.

Full Article | PDF Article

OSA Recommended Articles

Planar photonic crystal cavities with far-field optimization for high coupling efficiency and quality factor

S. L. Portalupi, M. Galli, C. Reardon, T. F. Krauss, L. O’Faolain, L. C. Andreani, and D. Gerace
Opt. Express 18(15) 16064-16073 (2010)

Novel non-planar ring cavity for enhanced beam quality in high-pulse-energy optical parametric oscillators

Stefano Bigotta, Georg Stöppler, Jörg Schöner, Martin Schellhorn, and Marc Eichhorn
Opt. Mater. Express 4(3) 411-423 (2014)

High-quality-factor Bragg onion resonators with omnidirectional reflector cladding

Yong Xu, Wei Liang, Amnon Yariv, J. G. Fleming, and Shawn-Yu Lin
Opt. Lett. 28(22) 2144-2146 (2003)

References

View by:
Article Order
|
Year
|
Author
|
Publication

E. Hecht, Optics, 4th ed. (Addison Wesley, 2002).
A. V. Kavokin, J. J. Baumberg, G. Malpuech, and F. P. Laussy, Microcavities (Oxford University, 2007).
M. A. Kats, R. Blanchard, P. Genevet, and F. Capasso, “Nanometre optical coatings based on strong interference effects in highly absorbing media,” Nat. Mater. 12(1), 20–24 (2012).
[Crossref] [PubMed]
S. Boutami, B. Ben Bakir, X. Letartre, J. L. Leclercq, and P. Viktorovitch, “Photonic crystal slab mirrors for an ultimate vertical and lateral confinement of light in vertical Fabry Perot cavities,” Proc. SPIE 6989, 69890V (2008).
[Crossref]
S. Mukherjee, A. Spracklen, D. Choudhury, N. Goldman, P. Öhberg, E. Andersson, and R. R. Thomson, “Observation of a localized flat-band state in a photonic Lieb lattice,” Phys. Rev. Lett. 114(24), 245504 (2015).
[Crossref] [PubMed]
S. Flach, D. Leykam, J. D. Bodyfelt, P. Matthies, and A. S. Desyatnikov, “Detangling flat bands into Fano lattices,” Europhys. Lett. 105(3), 30001 (2014).
[Crossref]
M. Ibanescu, M. Soljacic, S. G. Johnson, and J. D. Joannopoulos, “Ultra-flat bands in two-dimensional photonic crystals,” Proc. SPIE 6128, 612808 (2006).
[Crossref]
H. Takeda, T. Takashima, and K. Yoshino, “Flat photonic bands in two-dimensional photonic crystals with kagome lattices,” J. Phys. Condens. Matter 16(34), 6317–6324 (2004).
[Crossref]
K. Staliunas and R. Herrero, “Nondiffractive propagation of light in photonic crystals,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(1), 016601 (2006).
[Crossref] [PubMed]
K. L. Tsakmakidis, A. D. Boardman, and O. Hess, “‘Trapped rainbow’ storage of light in metamaterials,” Nature 450(7168), 397–401 (2007).
[Crossref] [PubMed]
R. Yang, W. Zhu, and J. Li, “Realization of “trapped rainbow” in 1D slab waveguide with surface dispersion engineering,” Opt. Express 23(5), 6326–6335 (2015).
[Crossref] [PubMed]
K. Staliunas, O. Egorov, Y. S. Kivshar, and F. Lederer, “Bloch cavity solitons in nonlinear resonators with intracavity photonic crystals,” Phys. Rev. Lett. 101(15), 153903 (2008).
[Crossref] [PubMed]
J. L. Zhang, W. D. Shen, P. Gu, Y. G. Zhang, H. T. Jiang, and X. Liu, “Omnidirectional narrow bandpass filter based on metal-dielectric thin films,” Appl. Opt. 47(33), 6285–6290 (2008).
[Crossref] [PubMed]
B. J. M. Hausmann, B. J. Shields, Q. Quan, Y. Chu, N. P. de Leon, R. Evans, M. J. Burek, A. S. Zibrov, M. Markham, D. J. Twitchen, H. Park, M. D. Lukin, and M. Loncar, “Coupling of NV centers to photonic crystal nanobeams in diamond,” Nano Lett. 13(12), 5791–5796 (2013).
[Crossref] [PubMed]
J. S. Q. Liu and M. L. Brongersma, “Omnidirectional light emission via surface plasmon polaritons,” Appl. Phys. Lett. 90(9), 091116 (2007).
[Crossref]
T. Byrnes, N. Y. Kim, and Y. Yamamoto, “Exciton-polariton condensates,” Nat. Phys. 10(11), 803–813 (2014).
[Crossref]
Z. Wang, B. Zhang, and H. Deng, “Dispersion engineering for vertical microcavities using subwavelength gratings,” Phys. Rev. Lett. 114(7), 073601 (2015).
[Crossref] [PubMed]
J.-H. Jiang and S. John, “Photonic crystal architecture for room-temperature equilibrium Bose-Einstein condensation of exciton polaritons,” Phys. Rev. X 4(3), 031025 (2014).
[Crossref]
F. Baboux, L. Ge, T. Jacqmin, M. Biondi, E. Galopin, A. Lemaître, L. Le Gratiet, I. Sagnes, S. Schmidt, H. E. Türeci, A. Amo, and J. Bloch, “Bosonic condensation and disorder-induced localization in a flat band,” Phys. Rev. Lett. 116(6), 066402 (2016).
[Crossref] [PubMed]
Y.-C. Cheng and K. Staliunas, “Negative Goos-Hänchen shift in reflection from subwavelength gratings,” J. Nanophotonics 8(1), 084093 (2014).
[Crossref]
R. H. Renard, “Total reflection: A new evaluation of the Goos-Hänchen shift,” J. Opt. Soc. Am. 54(10), 1190 (1964).
[Crossref]
H. Shin, M. F. Yanik, S. Fan, R. Zia, and M. L. Brongersma, “Omnidirectional resonance in a metal–dielectric–metal geometry,” Appl. Phys. Lett. 84(22), 4421–4423 (2004).
[Crossref]
J.-W. Dong, K.-S. Wu, C. Mu, and H.-Z. Wang, “Multiple omnidirectional resonances in a metamaterial sandwich,” Phys. Lett. A 372(24), 4532–4535 (2008).
[Crossref]
Y.-H. Chen, J.-W. Dong, and H.-Z. Wang, “Conditions of near-zero dispersion of defect modes in one-dimensional photonic crystals containing negative-index materials,” J. Opt. Soc. Am. B 23(4), 776–781 (2006).
[Crossref]
Y. H. Chen, J. W. Dong, and H. Z. Wang, “Omnidirectional resonance modes in photonic crystal heterostructures containing single-negative materials,” J. Opt. Soc. Am. B 23(10), 2237–2240 (2006).
[Crossref]
A. Hosseini and Y. Massoud, “Optical range microcavities and filters using multiple dielectric layers in metal-insulator-metal structures,” J. Opt. Soc. Am. A 24(1), 221–224 (2007).
[Crossref] [PubMed]
P. Viktorovitch, B. Ben Bakir, S. Boutami, J. L. Leclercq, X. Letartre, P. Rojo-Romeo, C. Seassal, M. Zussy, L. Di Cioccio, and J. M. Fedeli, “3D harnessing of light with 2.5D photonic crystals,” Laser Photonics Rev. 4(3), 401–413 (2010).
[Crossref]
S. M. Norton, T. Erdogan, and G. M. Morris, “Coupled-mode theory of resonant-grating filters,” J. Opt. Soc. Am. A 14(3), 629–639 (1997).
[Crossref]
R. Magnusson, M. Shokooh-Saremi, K. J. Lee, J. Curzan, D. Wawro, S. Zimmerman, W. Wu, J. Yoon, H. G. Svavarsson, and S. H. Song, “Leaky-mode resonance photonics: an applications platform,” Proc. SPIE 8102, 810202 (2011).
[Crossref]
P. Vincent and M. Nevière, “Corrugated dielectric waveguides: A numerical study of the second-order stop bands,” Appl. Phys. (Berl.) 20(4), 345–351 (1979).
[Crossref]
E. Popov, L. Mashev, and D. Maystre, “Theoretical study of the anomalies of coated dielectric gratings,” Opt. Acta Int. J. Opt. 33(5), 607–619 (1986).
[Crossref]
D. Maystre, “Theory of Wood’s Anomalies,” in Plasmonics: From Basics to Advanced Topics, S. Enoch and N. Bonod, eds. (Springer, 2012), p. 39.
J. He, J. Yi, and S. He, “Giant negative Goos-Hänchen shifts for a photonic crystal with a negative effective index,” Opt. Express 14(7), 3024–3029 (2006).
[Crossref] [PubMed]
R. Yang, W. Zhu, and J. Li, “Giant positive and negative Goos-Hänchen shift on dielectric gratings caused by guided mode resonance,” Opt. Express 22(2), 2043–2050 (2014).
[Crossref] [PubMed]
T. Tamir and H. L. Bertoni, “Lateral displacement of optical beams at multilayered and periodic structures,” J. Opt. Soc. Am. 61(10), 1397 (1971).
[Crossref]
A. M. Shaltout, A. V. Kildishev, and V. M. Shalaev, “Compact subwavelength cavities using reflecting metasurfaces,” in 2014 Conference on Lasers and Electro-Optics (CLEO) - Laser Science to Photonic Applications (2014), pp. 1–2.
K. Staliunas, M. Peckus, and V. Sirutkaitis, “Sub- and superdiffractive resonators with intracavity photonic crystals,” Phys. Rev. A 76(5), 051803 (2007).
[Crossref]
M. Peckus, R. Rogalskis, M. Andrulevicius, T. Tamulevicius, A. Guobiene, V. Jarutis, V. Sirutkaitis, and K. Staliunas, “Resonators with manipulated diffraction due to two- and three-dimensional intracavity photonic crystals,” Phys. Rev. A 79(3), 033806 (2009).
[Crossref]
R. Iliew, C. Etrich, T. Pertsch, F. Lederer, and K. Staliunas, “Subdiffractive all-photonic crystal Fabry-Perot resonators,” Opt. Lett. 33(22), 2695–2697 (2008).
[Crossref] [PubMed]
M. Shokooh-Saremi and R. Magnusson, “Leaky-mode resonant reflectors with extreme bandwidths,” Opt. Lett. 35(8), 1121–1123 (2010).
[Crossref] [PubMed]
C. J. Chang-Hasnain and W. Yang, “High-contrast gratings for integrated optoelectronics,” Adv. Opt. Photonics 4(3), 379–440 (2012).
[Crossref]
V. Liu and S. Fan, “S4: a free electromagnetic solver for layered periodic structures,” Comput. Phys. Commun. 183(10), 2233–2244 (2012).
[Crossref]
M. Khorasaninejad, N. Abedzadeh, J. Walia, S. Patchett, and S. S. Saini, “Color matrix refractive index sensors using coupled vertical silicon nanowire arrays,” Nano Lett. 12(8), 4228–4234 (2012).
[Crossref] [PubMed]
M. A. Kats, D. Woolf, R. Blanchard, N. Yu, and F. Capasso, “Spoof plasmon analogue of metal-insulator-metal waveguides,” Opt. Express 19(16), 14860–14870 (2011).
[Crossref] [PubMed]
F. Aieta, P. Genevet, M. A. Kats, N. Yu, R. Blanchard, Z. Gaburro, and F. Capasso, “Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces,” Nano Lett. 12(9), 4932–4936 (2012).
[Crossref] [PubMed]
N. Yu and F. Capasso, “Flat optics with designer metasurfaces,” Nat. Mater. 13(2), 139–150 (2014).
[Crossref] [PubMed]

2016 (1)

F. Baboux, L. Ge, T. Jacqmin, M. Biondi, E. Galopin, A. Lemaître, L. Le Gratiet, I. Sagnes, S. Schmidt, H. E. Türeci, A. Amo, and J. Bloch, “Bosonic condensation and disorder-induced localization in a flat band,” Phys. Rev. Lett. 116(6), 066402 (2016).
[Crossref] [PubMed]

2015 (3)

Z. Wang, B. Zhang, and H. Deng, “Dispersion engineering for vertical microcavities using subwavelength gratings,” Phys. Rev. Lett. 114(7), 073601 (2015).
[Crossref] [PubMed]

S. Mukherjee, A. Spracklen, D. Choudhury, N. Goldman, P. Öhberg, E. Andersson, and R. R. Thomson, “Observation of a localized flat-band state in a photonic Lieb lattice,” Phys. Rev. Lett. 114(24), 245504 (2015).
[Crossref] [PubMed]

R. Yang, W. Zhu, and J. Li, “Realization of “trapped rainbow” in 1D slab waveguide with surface dispersion engineering,” Opt. Express 23(5), 6326–6335 (2015).
[Crossref] [PubMed]

2014 (6)

R. Yang, W. Zhu, and J. Li, “Giant positive and negative Goos-Hänchen shift on dielectric gratings caused by guided mode resonance,” Opt. Express 22(2), 2043–2050 (2014).
[Crossref] [PubMed]

S. Flach, D. Leykam, J. D. Bodyfelt, P. Matthies, and A. S. Desyatnikov, “Detangling flat bands into Fano lattices,” Europhys. Lett. 105(3), 30001 (2014).
[Crossref]

J.-H. Jiang and S. John, “Photonic crystal architecture for room-temperature equilibrium Bose-Einstein condensation of exciton polaritons,” Phys. Rev. X 4(3), 031025 (2014).
[Crossref]

Y.-C. Cheng and K. Staliunas, “Negative Goos-Hänchen shift in reflection from subwavelength gratings,” J. Nanophotonics 8(1), 084093 (2014).
[Crossref]

T. Byrnes, N. Y. Kim, and Y. Yamamoto, “Exciton-polariton condensates,” Nat. Phys. 10(11), 803–813 (2014).
[Crossref]

N. Yu and F. Capasso, “Flat optics with designer metasurfaces,” Nat. Mater. 13(2), 139–150 (2014).
[Crossref] [PubMed]

2013 (1)

B. J. M. Hausmann, B. J. Shields, Q. Quan, Y. Chu, N. P. de Leon, R. Evans, M. J. Burek, A. S. Zibrov, M. Markham, D. J. Twitchen, H. Park, M. D. Lukin, and M. Loncar, “Coupling of NV centers to photonic crystal nanobeams in diamond,” Nano Lett. 13(12), 5791–5796 (2013).
[Crossref] [PubMed]

2012 (5)

M. A. Kats, R. Blanchard, P. Genevet, and F. Capasso, “Nanometre optical coatings based on strong interference effects in highly absorbing media,” Nat. Mater. 12(1), 20–24 (2012).
[Crossref] [PubMed]

C. J. Chang-Hasnain and W. Yang, “High-contrast gratings for integrated optoelectronics,” Adv. Opt. Photonics 4(3), 379–440 (2012).
[Crossref]

V. Liu and S. Fan, “S4: a free electromagnetic solver for layered periodic structures,” Comput. Phys. Commun. 183(10), 2233–2244 (2012).
[Crossref]

M. Khorasaninejad, N. Abedzadeh, J. Walia, S. Patchett, and S. S. Saini, “Color matrix refractive index sensors using coupled vertical silicon nanowire arrays,” Nano Lett. 12(8), 4228–4234 (2012).
[Crossref] [PubMed]

F. Aieta, P. Genevet, M. A. Kats, N. Yu, R. Blanchard, Z. Gaburro, and F. Capasso, “Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces,” Nano Lett. 12(9), 4932–4936 (2012).
[Crossref] [PubMed]

2011 (2)

R. Magnusson, M. Shokooh-Saremi, K. J. Lee, J. Curzan, D. Wawro, S. Zimmerman, W. Wu, J. Yoon, H. G. Svavarsson, and S. H. Song, “Leaky-mode resonance photonics: an applications platform,” Proc. SPIE 8102, 810202 (2011).
[Crossref]

M. A. Kats, D. Woolf, R. Blanchard, N. Yu, and F. Capasso, “Spoof plasmon analogue of metal-insulator-metal waveguides,” Opt. Express 19(16), 14860–14870 (2011).
[Crossref] [PubMed]

2010 (2)

M. Shokooh-Saremi and R. Magnusson, “Leaky-mode resonant reflectors with extreme bandwidths,” Opt. Lett. 35(8), 1121–1123 (2010).
[Crossref] [PubMed]

P. Viktorovitch, B. Ben Bakir, S. Boutami, J. L. Leclercq, X. Letartre, P. Rojo-Romeo, C. Seassal, M. Zussy, L. Di Cioccio, and J. M. Fedeli, “3D harnessing of light with 2.5D photonic crystals,” Laser Photonics Rev. 4(3), 401–413 (2010).
[Crossref]

2009 (1)

M. Peckus, R. Rogalskis, M. Andrulevicius, T. Tamulevicius, A. Guobiene, V. Jarutis, V. Sirutkaitis, and K. Staliunas, “Resonators with manipulated diffraction due to two- and three-dimensional intracavity photonic crystals,” Phys. Rev. A 79(3), 033806 (2009).
[Crossref]

2008 (5)

S. Boutami, B. Ben Bakir, X. Letartre, J. L. Leclercq, and P. Viktorovitch, “Photonic crystal slab mirrors for an ultimate vertical and lateral confinement of light in vertical Fabry Perot cavities,” Proc. SPIE 6989, 69890V (2008).
[Crossref]

J.-W. Dong, K.-S. Wu, C. Mu, and H.-Z. Wang, “Multiple omnidirectional resonances in a metamaterial sandwich,” Phys. Lett. A 372(24), 4532–4535 (2008).
[Crossref]

K. Staliunas, O. Egorov, Y. S. Kivshar, and F. Lederer, “Bloch cavity solitons in nonlinear resonators with intracavity photonic crystals,” Phys. Rev. Lett. 101(15), 153903 (2008).
[Crossref] [PubMed]

R. Iliew, C. Etrich, T. Pertsch, F. Lederer, and K. Staliunas, “Subdiffractive all-photonic crystal Fabry-Perot resonators,” Opt. Lett. 33(22), 2695–2697 (2008).
[Crossref] [PubMed]

J. L. Zhang, W. D. Shen, P. Gu, Y. G. Zhang, H. T. Jiang, and X. Liu, “Omnidirectional narrow bandpass filter based on metal-dielectric thin films,” Appl. Opt. 47(33), 6285–6290 (2008).
[Crossref] [PubMed]

2007 (4)

A. Hosseini and Y. Massoud, “Optical range microcavities and filters using multiple dielectric layers in metal-insulator-metal structures,” J. Opt. Soc. Am. A 24(1), 221–224 (2007).
[Crossref] [PubMed]

J. S. Q. Liu and M. L. Brongersma, “Omnidirectional light emission via surface plasmon polaritons,” Appl. Phys. Lett. 90(9), 091116 (2007).
[Crossref]

K. L. Tsakmakidis, A. D. Boardman, and O. Hess, “‘Trapped rainbow’ storage of light in metamaterials,” Nature 450(7168), 397–401 (2007).
[Crossref] [PubMed]

K. Staliunas, M. Peckus, and V. Sirutkaitis, “Sub- and superdiffractive resonators with intracavity photonic crystals,” Phys. Rev. A 76(5), 051803 (2007).
[Crossref]

2006 (5)

J. He, J. Yi, and S. He, “Giant negative Goos-Hänchen shifts for a photonic crystal with a negative effective index,” Opt. Express 14(7), 3024–3029 (2006).
[Crossref] [PubMed]

Y.-H. Chen, J.-W. Dong, and H.-Z. Wang, “Conditions of near-zero dispersion of defect modes in one-dimensional photonic crystals containing negative-index materials,” J. Opt. Soc. Am. B 23(4), 776–781 (2006).
[Crossref]

Y. H. Chen, J. W. Dong, and H. Z. Wang, “Omnidirectional resonance modes in photonic crystal heterostructures containing single-negative materials,” J. Opt. Soc. Am. B 23(10), 2237–2240 (2006).
[Crossref]

K. Staliunas and R. Herrero, “Nondiffractive propagation of light in photonic crystals,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(1), 016601 (2006).
[Crossref] [PubMed]

M. Ibanescu, M. Soljacic, S. G. Johnson, and J. D. Joannopoulos, “Ultra-flat bands in two-dimensional photonic crystals,” Proc. SPIE 6128, 612808 (2006).
[Crossref]

2004 (2)

H. Takeda, T. Takashima, and K. Yoshino, “Flat photonic bands in two-dimensional photonic crystals with kagome lattices,” J. Phys. Condens. Matter 16(34), 6317–6324 (2004).
[Crossref]

H. Shin, M. F. Yanik, S. Fan, R. Zia, and M. L. Brongersma, “Omnidirectional resonance in a metal–dielectric–metal geometry,” Appl. Phys. Lett. 84(22), 4421–4423 (2004).
[Crossref]

1997 (1)

S. M. Norton, T. Erdogan, and G. M. Morris, “Coupled-mode theory of resonant-grating filters,” J. Opt. Soc. Am. A 14(3), 629–639 (1997).
[Crossref]

1986 (1)

E. Popov, L. Mashev, and D. Maystre, “Theoretical study of the anomalies of coated dielectric gratings,” Opt. Acta Int. J. Opt. 33(5), 607–619 (1986).
[Crossref]

1979 (1)

P. Vincent and M. Nevière, “Corrugated dielectric waveguides: A numerical study of the second-order stop bands,” Appl. Phys. (Berl.) 20(4), 345–351 (1979).
[Crossref]

1971 (1)

T. Tamir and H. L. Bertoni, “Lateral displacement of optical beams at multilayered and periodic structures,” J. Opt. Soc. Am. 61(10), 1397 (1971).
[Crossref]

1964 (1)

R. H. Renard, “Total reflection: A new evaluation of the Goos-Hänchen shift,” J. Opt. Soc. Am. 54(10), 1190 (1964).
[Crossref]

Abedzadeh, N.

Aieta, F.

Amo, A.

Andersson, E.

Andrulevicius, M.

Baboux, F.

Ben Bakir, B.

Bertoni, H. L.

T. Tamir and H. L. Bertoni, “Lateral displacement of optical beams at multilayered and periodic structures,” J. Opt. Soc. Am. 61(10), 1397 (1971).
[Crossref]

Biondi, M.

Blanchard, R.

M. A. Kats, D. Woolf, R. Blanchard, N. Yu, and F. Capasso, “Spoof plasmon analogue of metal-insulator-metal waveguides,” Opt. Express 19(16), 14860–14870 (2011).
[Crossref] [PubMed]

Bloch, J.

Boardman, A. D.

K. L. Tsakmakidis, A. D. Boardman, and O. Hess, “‘Trapped rainbow’ storage of light in metamaterials,” Nature 450(7168), 397–401 (2007).
[Crossref] [PubMed]

Bodyfelt, J. D.

S. Flach, D. Leykam, J. D. Bodyfelt, P. Matthies, and A. S. Desyatnikov, “Detangling flat bands into Fano lattices,” Europhys. Lett. 105(3), 30001 (2014).
[Crossref]

Boutami, S.

Brongersma, M. L.

J. S. Q. Liu and M. L. Brongersma, “Omnidirectional light emission via surface plasmon polaritons,” Appl. Phys. Lett. 90(9), 091116 (2007).
[Crossref]

H. Shin, M. F. Yanik, S. Fan, R. Zia, and M. L. Brongersma, “Omnidirectional resonance in a metal–dielectric–metal geometry,” Appl. Phys. Lett. 84(22), 4421–4423 (2004).
[Crossref]

Burek, M. J.

Byrnes, T.

T. Byrnes, N. Y. Kim, and Y. Yamamoto, “Exciton-polariton condensates,” Nat. Phys. 10(11), 803–813 (2014).
[Crossref]

Capasso, F.

N. Yu and F. Capasso, “Flat optics with designer metasurfaces,” Nat. Mater. 13(2), 139–150 (2014).
[Crossref] [PubMed]

M. A. Kats, D. Woolf, R. Blanchard, N. Yu, and F. Capasso, “Spoof plasmon analogue of metal-insulator-metal waveguides,” Opt. Express 19(16), 14860–14870 (2011).
[Crossref] [PubMed]

Chang-Hasnain, C. J.

C. J. Chang-Hasnain and W. Yang, “High-contrast gratings for integrated optoelectronics,” Adv. Opt. Photonics 4(3), 379–440 (2012).
[Crossref]

Chen, Y. H.

Chen, Y.-H.

Cheng, Y.-C.

Y.-C. Cheng and K. Staliunas, “Negative Goos-Hänchen shift in reflection from subwavelength gratings,” J. Nanophotonics 8(1), 084093 (2014).
[Crossref]

Choudhury, D.

Chu, Y.

Curzan, J.

de Leon, N. P.

Deng, H.

Z. Wang, B. Zhang, and H. Deng, “Dispersion engineering for vertical microcavities using subwavelength gratings,” Phys. Rev. Lett. 114(7), 073601 (2015).
[Crossref] [PubMed]

Desyatnikov, A. S.

S. Flach, D. Leykam, J. D. Bodyfelt, P. Matthies, and A. S. Desyatnikov, “Detangling flat bands into Fano lattices,” Europhys. Lett. 105(3), 30001 (2014).
[Crossref]

Di Cioccio, L.

Dong, J. W.

Dong, J.-W.

J.-W. Dong, K.-S. Wu, C. Mu, and H.-Z. Wang, “Multiple omnidirectional resonances in a metamaterial sandwich,” Phys. Lett. A 372(24), 4532–4535 (2008).
[Crossref]

Egorov, O.

Erdogan, T.

S. M. Norton, T. Erdogan, and G. M. Morris, “Coupled-mode theory of resonant-grating filters,” J. Opt. Soc. Am. A 14(3), 629–639 (1997).
[Crossref]

Etrich, C.

R. Iliew, C. Etrich, T. Pertsch, F. Lederer, and K. Staliunas, “Subdiffractive all-photonic crystal Fabry-Perot resonators,” Opt. Lett. 33(22), 2695–2697 (2008).
[Crossref] [PubMed]

Evans, R.

Fan, S.

V. Liu and S. Fan, “S4: a free electromagnetic solver for layered periodic structures,” Comput. Phys. Commun. 183(10), 2233–2244 (2012).
[Crossref]

H. Shin, M. F. Yanik, S. Fan, R. Zia, and M. L. Brongersma, “Omnidirectional resonance in a metal–dielectric–metal geometry,” Appl. Phys. Lett. 84(22), 4421–4423 (2004).
[Crossref]

Fedeli, J. M.

Flach, S.

S. Flach, D. Leykam, J. D. Bodyfelt, P. Matthies, and A. S. Desyatnikov, “Detangling flat bands into Fano lattices,” Europhys. Lett. 105(3), 30001 (2014).
[Crossref]

Gaburro, Z.

Galopin, E.

Ge, L.

Genevet, P.

Goldman, N.

Gu, P.

Guobiene, A.

Hausmann, B. J. M.

He, J.

J. He, J. Yi, and S. He, “Giant negative Goos-Hänchen shifts for a photonic crystal with a negative effective index,” Opt. Express 14(7), 3024–3029 (2006).
[Crossref] [PubMed]

He, S.

J. He, J. Yi, and S. He, “Giant negative Goos-Hänchen shifts for a photonic crystal with a negative effective index,” Opt. Express 14(7), 3024–3029 (2006).
[Crossref] [PubMed]

Herrero, R.

K. Staliunas and R. Herrero, “Nondiffractive propagation of light in photonic crystals,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(1), 016601 (2006).
[Crossref] [PubMed]

Hess, O.

K. L. Tsakmakidis, A. D. Boardman, and O. Hess, “‘Trapped rainbow’ storage of light in metamaterials,” Nature 450(7168), 397–401 (2007).
[Crossref] [PubMed]

Hosseini, A.

Ibanescu, M.

M. Ibanescu, M. Soljacic, S. G. Johnson, and J. D. Joannopoulos, “Ultra-flat bands in two-dimensional photonic crystals,” Proc. SPIE 6128, 612808 (2006).
[Crossref]

Iliew, R.

R. Iliew, C. Etrich, T. Pertsch, F. Lederer, and K. Staliunas, “Subdiffractive all-photonic crystal Fabry-Perot resonators,” Opt. Lett. 33(22), 2695–2697 (2008).
[Crossref] [PubMed]

Jacqmin, T.

Jarutis, V.

Jiang, H. T.

Jiang, J.-H.

J.-H. Jiang and S. John, “Photonic crystal architecture for room-temperature equilibrium Bose-Einstein condensation of exciton polaritons,” Phys. Rev. X 4(3), 031025 (2014).
[Crossref]

Joannopoulos, J. D.

M. Ibanescu, M. Soljacic, S. G. Johnson, and J. D. Joannopoulos, “Ultra-flat bands in two-dimensional photonic crystals,” Proc. SPIE 6128, 612808 (2006).
[Crossref]

John, S.

J.-H. Jiang and S. John, “Photonic crystal architecture for room-temperature equilibrium Bose-Einstein condensation of exciton polaritons,” Phys. Rev. X 4(3), 031025 (2014).
[Crossref]

Johnson, S. G.

M. Ibanescu, M. Soljacic, S. G. Johnson, and J. D. Joannopoulos, “Ultra-flat bands in two-dimensional photonic crystals,” Proc. SPIE 6128, 612808 (2006).
[Crossref]

Kats, M. A.

M. A. Kats, D. Woolf, R. Blanchard, N. Yu, and F. Capasso, “Spoof plasmon analogue of metal-insulator-metal waveguides,” Opt. Express 19(16), 14860–14870 (2011).
[Crossref] [PubMed]

Khorasaninejad, M.

Kildishev, A. V.

A. M. Shaltout, A. V. Kildishev, and V. M. Shalaev, “Compact subwavelength cavities using reflecting metasurfaces,” in 2014 Conference on Lasers and Electro-Optics (CLEO) - Laser Science to Photonic Applications (2014), pp. 1–2.

Kim, N. Y.

T. Byrnes, N. Y. Kim, and Y. Yamamoto, “Exciton-polariton condensates,” Nat. Phys. 10(11), 803–813 (2014).
[Crossref]

Kivshar, Y. S.

Le Gratiet, L.

Leclercq, J. L.

Lederer, F.

R. Iliew, C. Etrich, T. Pertsch, F. Lederer, and K. Staliunas, “Subdiffractive all-photonic crystal Fabry-Perot resonators,” Opt. Lett. 33(22), 2695–2697 (2008).
[Crossref] [PubMed]

Lee, K. J.

Lemaître, A.

Letartre, X.

Leykam, D.

S. Flach, D. Leykam, J. D. Bodyfelt, P. Matthies, and A. S. Desyatnikov, “Detangling flat bands into Fano lattices,” Europhys. Lett. 105(3), 30001 (2014).
[Crossref]

Li, J.

R. Yang, W. Zhu, and J. Li, “Realization of “trapped rainbow” in 1D slab waveguide with surface dispersion engineering,” Opt. Express 23(5), 6326–6335 (2015).
[Crossref] [PubMed]

R. Yang, W. Zhu, and J. Li, “Giant positive and negative Goos-Hänchen shift on dielectric gratings caused by guided mode resonance,” Opt. Express 22(2), 2043–2050 (2014).
[Crossref] [PubMed]

Liu, J. S. Q.

J. S. Q. Liu and M. L. Brongersma, “Omnidirectional light emission via surface plasmon polaritons,” Appl. Phys. Lett. 90(9), 091116 (2007).
[Crossref]

Liu, V.

V. Liu and S. Fan, “S4: a free electromagnetic solver for layered periodic structures,” Comput. Phys. Commun. 183(10), 2233–2244 (2012).
[Crossref]

Liu, X.

Loncar, M.

Lukin, M. D.

Magnusson, R.

M. Shokooh-Saremi and R. Magnusson, “Leaky-mode resonant reflectors with extreme bandwidths,” Opt. Lett. 35(8), 1121–1123 (2010).
[Crossref] [PubMed]

Markham, M.

Mashev, L.

E. Popov, L. Mashev, and D. Maystre, “Theoretical study of the anomalies of coated dielectric gratings,” Opt. Acta Int. J. Opt. 33(5), 607–619 (1986).
[Crossref]

Massoud, Y.

Matthies, P.

S. Flach, D. Leykam, J. D. Bodyfelt, P. Matthies, and A. S. Desyatnikov, “Detangling flat bands into Fano lattices,” Europhys. Lett. 105(3), 30001 (2014).
[Crossref]

Maystre, D.

E. Popov, L. Mashev, and D. Maystre, “Theoretical study of the anomalies of coated dielectric gratings,” Opt. Acta Int. J. Opt. 33(5), 607–619 (1986).
[Crossref]

Morris, G. M.

S. M. Norton, T. Erdogan, and G. M. Morris, “Coupled-mode theory of resonant-grating filters,” J. Opt. Soc. Am. A 14(3), 629–639 (1997).
[Crossref]

Mu, C.

J.-W. Dong, K.-S. Wu, C. Mu, and H.-Z. Wang, “Multiple omnidirectional resonances in a metamaterial sandwich,” Phys. Lett. A 372(24), 4532–4535 (2008).
[Crossref]

Mukherjee, S.

Nevière, M.

P. Vincent and M. Nevière, “Corrugated dielectric waveguides: A numerical study of the second-order stop bands,” Appl. Phys. (Berl.) 20(4), 345–351 (1979).
[Crossref]

Norton, S. M.

S. M. Norton, T. Erdogan, and G. M. Morris, “Coupled-mode theory of resonant-grating filters,” J. Opt. Soc. Am. A 14(3), 629–639 (1997).
[Crossref]

Öhberg, P.

Park, H.

Patchett, S.

Peckus, M.

K. Staliunas, M. Peckus, and V. Sirutkaitis, “Sub- and superdiffractive resonators with intracavity photonic crystals,” Phys. Rev. A 76(5), 051803 (2007).
[Crossref]

Pertsch, T.

R. Iliew, C. Etrich, T. Pertsch, F. Lederer, and K. Staliunas, “Subdiffractive all-photonic crystal Fabry-Perot resonators,” Opt. Lett. 33(22), 2695–2697 (2008).
[Crossref] [PubMed]

Popov, E.

E. Popov, L. Mashev, and D. Maystre, “Theoretical study of the anomalies of coated dielectric gratings,” Opt. Acta Int. J. Opt. 33(5), 607–619 (1986).
[Crossref]

Quan, Q.

Renard, R. H.

R. H. Renard, “Total reflection: A new evaluation of the Goos-Hänchen shift,” J. Opt. Soc. Am. 54(10), 1190 (1964).
[Crossref]

Rogalskis, R.

Rojo-Romeo, P.

Sagnes, I.

Saini, S. S.

Schmidt, S.

Seassal, C.

Shalaev, V. M.

Shaltout, A. M.

Shen, W. D.

Shields, B. J.

Shin, H.

H. Shin, M. F. Yanik, S. Fan, R. Zia, and M. L. Brongersma, “Omnidirectional resonance in a metal–dielectric–metal geometry,” Appl. Phys. Lett. 84(22), 4421–4423 (2004).
[Crossref]

Shokooh-Saremi, M.

M. Shokooh-Saremi and R. Magnusson, “Leaky-mode resonant reflectors with extreme bandwidths,” Opt. Lett. 35(8), 1121–1123 (2010).
[Crossref] [PubMed]

Sirutkaitis, V.

K. Staliunas, M. Peckus, and V. Sirutkaitis, “Sub- and superdiffractive resonators with intracavity photonic crystals,” Phys. Rev. A 76(5), 051803 (2007).
[Crossref]

Soljacic, M.

M. Ibanescu, M. Soljacic, S. G. Johnson, and J. D. Joannopoulos, “Ultra-flat bands in two-dimensional photonic crystals,” Proc. SPIE 6128, 612808 (2006).
[Crossref]

Song, S. H.

Spracklen, A.

Staliunas, K.

Y.-C. Cheng and K. Staliunas, “Negative Goos-Hänchen shift in reflection from subwavelength gratings,” J. Nanophotonics 8(1), 084093 (2014).
[Crossref]

R. Iliew, C. Etrich, T. Pertsch, F. Lederer, and K. Staliunas, “Subdiffractive all-photonic crystal Fabry-Perot resonators,” Opt. Lett. 33(22), 2695–2697 (2008).
[Crossref] [PubMed]

K. Staliunas, M. Peckus, and V. Sirutkaitis, “Sub- and superdiffractive resonators with intracavity photonic crystals,” Phys. Rev. A 76(5), 051803 (2007).
[Crossref]

K. Staliunas and R. Herrero, “Nondiffractive propagation of light in photonic crystals,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(1), 016601 (2006).
[Crossref] [PubMed]

Svavarsson, H. G.

Takashima, T.

H. Takeda, T. Takashima, and K. Yoshino, “Flat photonic bands in two-dimensional photonic crystals with kagome lattices,” J. Phys. Condens. Matter 16(34), 6317–6324 (2004).
[Crossref]

Takeda, H.

H. Takeda, T. Takashima, and K. Yoshino, “Flat photonic bands in two-dimensional photonic crystals with kagome lattices,” J. Phys. Condens. Matter 16(34), 6317–6324 (2004).
[Crossref]

Tamir, T.

T. Tamir and H. L. Bertoni, “Lateral displacement of optical beams at multilayered and periodic structures,” J. Opt. Soc. Am. 61(10), 1397 (1971).
[Crossref]

Tamulevicius, T.

Thomson, R. R.

Tsakmakidis, K. L.

K. L. Tsakmakidis, A. D. Boardman, and O. Hess, “‘Trapped rainbow’ storage of light in metamaterials,” Nature 450(7168), 397–401 (2007).
[Crossref] [PubMed]

Türeci, H. E.

Twitchen, D. J.

Viktorovitch, P.

Vincent, P.

P. Vincent and M. Nevière, “Corrugated dielectric waveguides: A numerical study of the second-order stop bands,” Appl. Phys. (Berl.) 20(4), 345–351 (1979).
[Crossref]

Walia, J.

Wang, H. Z.

Wang, H.-Z.

J.-W. Dong, K.-S. Wu, C. Mu, and H.-Z. Wang, “Multiple omnidirectional resonances in a metamaterial sandwich,” Phys. Lett. A 372(24), 4532–4535 (2008).
[Crossref]

Wang, Z.

Z. Wang, B. Zhang, and H. Deng, “Dispersion engineering for vertical microcavities using subwavelength gratings,” Phys. Rev. Lett. 114(7), 073601 (2015).
[Crossref] [PubMed]

Wawro, D.

Woolf, D.

M. A. Kats, D. Woolf, R. Blanchard, N. Yu, and F. Capasso, “Spoof plasmon analogue of metal-insulator-metal waveguides,” Opt. Express 19(16), 14860–14870 (2011).
[Crossref] [PubMed]

Wu, K.-S.

J.-W. Dong, K.-S. Wu, C. Mu, and H.-Z. Wang, “Multiple omnidirectional resonances in a metamaterial sandwich,” Phys. Lett. A 372(24), 4532–4535 (2008).
[Crossref]

Wu, W.

Yamamoto, Y.

T. Byrnes, N. Y. Kim, and Y. Yamamoto, “Exciton-polariton condensates,” Nat. Phys. 10(11), 803–813 (2014).
[Crossref]

Yang, R.

R. Yang, W. Zhu, and J. Li, “Realization of “trapped rainbow” in 1D slab waveguide with surface dispersion engineering,” Opt. Express 23(5), 6326–6335 (2015).
[Crossref] [PubMed]

R. Yang, W. Zhu, and J. Li, “Giant positive and negative Goos-Hänchen shift on dielectric gratings caused by guided mode resonance,” Opt. Express 22(2), 2043–2050 (2014).
[Crossref] [PubMed]

Yang, W.

C. J. Chang-Hasnain and W. Yang, “High-contrast gratings for integrated optoelectronics,” Adv. Opt. Photonics 4(3), 379–440 (2012).
[Crossref]

Yanik, M. F.

H. Shin, M. F. Yanik, S. Fan, R. Zia, and M. L. Brongersma, “Omnidirectional resonance in a metal–dielectric–metal geometry,” Appl. Phys. Lett. 84(22), 4421–4423 (2004).
[Crossref]

Yi, J.

J. He, J. Yi, and S. He, “Giant negative Goos-Hänchen shifts for a photonic crystal with a negative effective index,” Opt. Express 14(7), 3024–3029 (2006).
[Crossref] [PubMed]

Yoon, J.

Yoshino, K.

H. Takeda, T. Takashima, and K. Yoshino, “Flat photonic bands in two-dimensional photonic crystals with kagome lattices,” J. Phys. Condens. Matter 16(34), 6317–6324 (2004).
[Crossref]

Yu, N.

N. Yu and F. Capasso, “Flat optics with designer metasurfaces,” Nat. Mater. 13(2), 139–150 (2014).
[Crossref] [PubMed]

M. A. Kats, D. Woolf, R. Blanchard, N. Yu, and F. Capasso, “Spoof plasmon analogue of metal-insulator-metal waveguides,” Opt. Express 19(16), 14860–14870 (2011).
[Crossref] [PubMed]

Zhang, B.

Z. Wang, B. Zhang, and H. Deng, “Dispersion engineering for vertical microcavities using subwavelength gratings,” Phys. Rev. Lett. 114(7), 073601 (2015).
[Crossref] [PubMed]

Zhang, J. L.

Zhang, Y. G.

Zhu, W.

R. Yang, W. Zhu, and J. Li, “Realization of “trapped rainbow” in 1D slab waveguide with surface dispersion engineering,” Opt. Express 23(5), 6326–6335 (2015).
[Crossref] [PubMed]

R. Yang, W. Zhu, and J. Li, “Giant positive and negative Goos-Hänchen shift on dielectric gratings caused by guided mode resonance,” Opt. Express 22(2), 2043–2050 (2014).
[Crossref] [PubMed]

Zia, R.

H. Shin, M. F. Yanik, S. Fan, R. Zia, and M. L. Brongersma, “Omnidirectional resonance in a metal–dielectric–metal geometry,” Appl. Phys. Lett. 84(22), 4421–4423 (2004).
[Crossref]

Zibrov, A. S.

Zimmerman, S.

Zussy, M.

Adv. Opt. Photonics (1)

C. J. Chang-Hasnain and W. Yang, “High-contrast gratings for integrated optoelectronics,” Adv. Opt. Photonics 4(3), 379–440 (2012).
[Crossref]

Appl. Opt. (1)

Appl. Phys. (Berl.) (1)

P. Vincent and M. Nevière, “Corrugated dielectric waveguides: A numerical study of the second-order stop bands,” Appl. Phys. (Berl.) 20(4), 345–351 (1979).
[Crossref]

Appl. Phys. Lett. (2)

H. Shin, M. F. Yanik, S. Fan, R. Zia, and M. L. Brongersma, “Omnidirectional resonance in a metal–dielectric–metal geometry,” Appl. Phys. Lett. 84(22), 4421–4423 (2004).
[Crossref]

J. S. Q. Liu and M. L. Brongersma, “Omnidirectional light emission via surface plasmon polaritons,” Appl. Phys. Lett. 90(9), 091116 (2007).
[Crossref]

Comput. Phys. Commun. (1)

V. Liu and S. Fan, “S4: a free electromagnetic solver for layered periodic structures,” Comput. Phys. Commun. 183(10), 2233–2244 (2012).
[Crossref]

Europhys. Lett. (1)

S. Flach, D. Leykam, J. D. Bodyfelt, P. Matthies, and A. S. Desyatnikov, “Detangling flat bands into Fano lattices,” Europhys. Lett. 105(3), 30001 (2014).
[Crossref]

J. Nanophotonics (1)

Y.-C. Cheng and K. Staliunas, “Negative Goos-Hänchen shift in reflection from subwavelength gratings,” J. Nanophotonics 8(1), 084093 (2014).
[Crossref]

J. Opt. Soc. Am. (2)

R. H. Renard, “Total reflection: A new evaluation of the Goos-Hänchen shift,” J. Opt. Soc. Am. 54(10), 1190 (1964).
[Crossref]

T. Tamir and H. L. Bertoni, “Lateral displacement of optical beams at multilayered and periodic structures,” J. Opt. Soc. Am. 61(10), 1397 (1971).
[Crossref]

J. Opt. Soc. Am. A (2)

S. M. Norton, T. Erdogan, and G. M. Morris, “Coupled-mode theory of resonant-grating filters,” J. Opt. Soc. Am. A 14(3), 629–639 (1997).
[Crossref]

J. Opt. Soc. Am. B (2)

J. Phys. Condens. Matter (1)

H. Takeda, T. Takashima, and K. Yoshino, “Flat photonic bands in two-dimensional photonic crystals with kagome lattices,” J. Phys. Condens. Matter 16(34), 6317–6324 (2004).
[Crossref]

Laser Photonics Rev. (1)

Nano Lett. (3)

Nat. Mater. (2)

N. Yu and F. Capasso, “Flat optics with designer metasurfaces,” Nat. Mater. 13(2), 139–150 (2014).
[Crossref] [PubMed]

Nat. Phys. (1)

T. Byrnes, N. Y. Kim, and Y. Yamamoto, “Exciton-polariton condensates,” Nat. Phys. 10(11), 803–813 (2014).
[Crossref]

Nature (1)

K. L. Tsakmakidis, A. D. Boardman, and O. Hess, “‘Trapped rainbow’ storage of light in metamaterials,” Nature 450(7168), 397–401 (2007).
[Crossref] [PubMed]

Opt. Acta Int. J. Opt. (1)

E. Popov, L. Mashev, and D. Maystre, “Theoretical study of the anomalies of coated dielectric gratings,” Opt. Acta Int. J. Opt. 33(5), 607–619 (1986).
[Crossref]

Opt. Express (4)

J. He, J. Yi, and S. He, “Giant negative Goos-Hänchen shifts for a photonic crystal with a negative effective index,” Opt. Express 14(7), 3024–3029 (2006).
[Crossref] [PubMed]

R. Yang, W. Zhu, and J. Li, “Giant positive and negative Goos-Hänchen shift on dielectric gratings caused by guided mode resonance,” Opt. Express 22(2), 2043–2050 (2014).
[Crossref] [PubMed]

R. Yang, W. Zhu, and J. Li, “Realization of “trapped rainbow” in 1D slab waveguide with surface dispersion engineering,” Opt. Express 23(5), 6326–6335 (2015).
[Crossref] [PubMed]

M. A. Kats, D. Woolf, R. Blanchard, N. Yu, and F. Capasso, “Spoof plasmon analogue of metal-insulator-metal waveguides,” Opt. Express 19(16), 14860–14870 (2011).
[Crossref] [PubMed]

Opt. Lett. (2)

R. Iliew, C. Etrich, T. Pertsch, F. Lederer, and K. Staliunas, “Subdiffractive all-photonic crystal Fabry-Perot resonators,” Opt. Lett. 33(22), 2695–2697 (2008).
[Crossref] [PubMed]

M. Shokooh-Saremi and R. Magnusson, “Leaky-mode resonant reflectors with extreme bandwidths,” Opt. Lett. 35(8), 1121–1123 (2010).
[Crossref] [PubMed]

Phys. Lett. A (1)

J.-W. Dong, K.-S. Wu, C. Mu, and H.-Z. Wang, “Multiple omnidirectional resonances in a metamaterial sandwich,” Phys. Lett. A 372(24), 4532–4535 (2008).
[Crossref]

Phys. Rev. A (2)

K. Staliunas, M. Peckus, and V. Sirutkaitis, “Sub- and superdiffractive resonators with intracavity photonic crystals,” Phys. Rev. A 76(5), 051803 (2007).
[Crossref]

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

K. Staliunas and R. Herrero, “Nondiffractive propagation of light in photonic crystals,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(1), 016601 (2006).
[Crossref] [PubMed]

Phys. Rev. Lett. (4)

Z. Wang, B. Zhang, and H. Deng, “Dispersion engineering for vertical microcavities using subwavelength gratings,” Phys. Rev. Lett. 114(7), 073601 (2015).
[Crossref] [PubMed]

Phys. Rev. X (1)

J.-H. Jiang and S. John, “Photonic crystal architecture for room-temperature equilibrium Bose-Einstein condensation of exciton polaritons,” Phys. Rev. X 4(3), 031025 (2014).
[Crossref]

Proc. SPIE (3)

M. Ibanescu, M. Soljacic, S. G. Johnson, and J. D. Joannopoulos, “Ultra-flat bands in two-dimensional photonic crystals,” Proc. SPIE 6128, 612808 (2006).
[Crossref]

Other (4)

D. Maystre, “Theory of Wood’s Anomalies,” in Plasmonics: From Basics to Advanced Topics, S. Enoch and N. Bonod, eds. (Springer, 2012), p. 39.

E. Hecht, Optics, 4th ed. (Addison Wesley, 2002).

A. V. Kavokin, J. J. Baumberg, G. Malpuech, and F. P. Laussy, Microcavities (Oxford University, 2007).

Supplementary Material (1)

Name	Description
» Visualization 1: MPG (4872 KB)	In this finite-difference time-domain simulation (Lumerical Inc.), a dipole emits light into "Structure A" (cf. Table 1 and Fig. 3(a)), then turns off. Much of the emitted light enters a mode which remains localized in the in-plane direction.

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.

Click here to see a list of articles that cite this paper

Fig. 1 (a) In a laser cavity with a laterally-stopped-light resonance (ω_res independent of k_xy, so the in-plane group velocity ∂ω_res/∂k_x = ∂ω_res/∂k_y = 0), there are a large number of degenerate modes, including localized modes. These localized modes do not spread out, despite the absence of curvature or any other in-plane light guiding. For example, with a localized pump, the system will lase on a localized mode that best overlaps the pump [4]. Visualization 1 shows a simulated movie of this effect. (b) An alternative way to understand the stable localized modes is as a result of negative Goos–Hänchen shifts. (c) Such a cavity also acts as a Fabry-Pérot etalon that works for any incident wavefront. (d) If a quantum emitter such as a quantum dot is placed on such a cavity, it will have Purcell-enhanced light-matter coupling to a mode localized in its vicinity. (e) Microcavity theory parametrizes ω_res(θ) via “photon effective mass”; we can make cavities where this parameter is positive, negative, or infinite.

Download Full Size | PPT Slide | PDF

Fig. 2 (a) Our planar cavity has two mirrors. The bottom is a normal metal mirror. The top mirror is a resonant grating filter, i.e. a high-index grating that both supports in-plane guided modes and enables them to couple out. (b) At the guided mode resonance feature, the grating reflectance approaches 100%. (c) The two mirrors together form a cavity with a narrow cavity resonance, which sits within the broader guided mode resonance [4,27].

Download Full Size | PPT Slide | PDF

Fig. 3 (a)-(c) For three different cavities we designed (see Table 1 for parameters), we send in a CW plane-wave from the substrate (through the thin gold) at a given wavelength and angle. The plot shows the energy stored in the cavity, so a bright band occurs at the cavity resonance. These three cavities (a-c) show some of the possibilities, where the light in the cavity is (a) stopped, (b) reversed, or (c) slowed in the plane of the cavity. The white dashed curve is the curve we would expect from ordinary planar cavities, Eq. (1). See Fig. 5 for other polarizations and directions. (d) Schematic of our cavities, which use a conventional gold mirror on one side, and a hexagonal array of dielectric cylinders on the other side. For cavity (a), with 1.5µm light incident 5° from normal, we show (e) the Poynting vector, and (f) the electric field amplitude profile (both averaged over the y-coordinate pointing into the page). Although the incident light tilts rightward, the energy flows leftward in the cylinder array, giving an overall average energy flow of zero, as we expect. (g) Reflection phase and amplitude of just the cylinder array (i.e., leaving out the gold) for the structure (a).

Download Full Size | PPT Slide | PDF

Fig. 4 (a) Scanning electron micrograph of the cavity, showing the array of amorphous silicon pillars. The experiments (b) and corresponding simulations (c) show a transmission peak which is almost angle-independent, but slightly decreases in frequency away from normal (opposite of conventional cavities). The indicated angle is the angle of light in air, relative to the wafer normal. The simulation parameters were based on SEM measurements of the structure, see Table 1. The inset of (b) shows the wavelength at the maximum of each curve, compared to the textbook relation (Eq. (1), dashed curve). Transmission is in arbitrary units in (b), and fraction transmitted in (c).

Download Full Size | PPT Slide | PDF

Fig. 5 (a-c) represent the cavities of Fig. 3(a-c) respectively. For each of these, (i) and (ii) are s-polarization light, and (iii) an (iv) are p-polarization, tilted in the two non-equivalent planes of mirror symmetry of the hexagonal lattice.

Download Full Size | PPT Slide | PDF

Tables (1)

Table 1 Geometric Parameters for Simulations Herein^a

View Table

Equations (1)

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

ω_{res, m} (k_{x y}) = {[ω_{res, m} {(0)}^{2} + {(c | k_{x y} | / n)}^{2}]}^{1 / 2} = ω_{res, m} (0) / \cos θ,

Structure	Ref.	Cyl. height [nm]	Cyl. diam. [nm]	Cyl. center-to-center spacing [nm]	Cavity thickness [nm]
A	Figures 3(a,e,f,g); Visualization 1	300	490	870	570
B	Figure 3(b)	290	485	965	585
C	Figure 3(c)	510	445	750	360
D	Figure 4(c)	240	495	870	565