Abstract

This paper presents a numerical study of the superprism effect in photonic-crystal (PC) slabs. A fully vectorial three-dimensional time-domain code allows to simulate, with virtually no approximations, the role of the sample finiteness in the dispersive response of the frequency-banded structure. Out-of-plane coupling and transmission of the device are investigated.

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J. Lightwave Technol. (1)

Opt. Express (1)

Opt. Lett. (1)

Other (29)

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics", Phys. Rev. Lett., vol. 58, pp. 2059-2062, 1987.

S. John, "Strong localization of photons in certain disordered dielectric superlattices", Phys. Rev. Lett., vol. 58, pp. 2486-2489, 1987.

K. Sakoda, Optical Properties of Photonic Crystals, Berlin: Germany: Springer-Verlag, 2001,vol. 80.

T. F. Krauss and R. M. De La Rue, "Photonic crystals in the optical regime-Past, present and future", Prog. Quantum Electron., vol. 23, pp. 51-96, 1999.

R. D. Meade, A. Devenyi, J. D. Joannopoulos, O. L. Alerhand, D. A. Smith and K. Kash, "Novel applications of photonic band gap materials: Low-loss bends and high Q cavities", J. Appl. Phys., vol. 75, pp. 4753-4755, 1994.

J. E. Ehrlich, G. Assanto and G. I. Stegeman, "All-optical tuning of waveguide nonlinear distributed feedback gratings", Appl. Phys. Lett., vol. 56, pp. 602-604, 1990.

S. F. Mingaleev and Y. S. Kivshar, "Nonlinear transmission and light localization in photonic-crystal waveguides", J. Opt. Soc. Amer. B, Opt. Phys., vol. 19, pp. 2241-2249, 2002.

M. De Sario, C. Conti and G. Assanto, "Optically controlled delay lines by pulse self-trapping in parametric waveguides with distributed feedback", IEEE J. Quantum Electron., vol. 36, pp. 931-943, Aug. 2000.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato and S. Kawakami, "Superprism phenomena in photonic crystals", Phys. Rev. B, Condens. Matter, vol. 58, pp. R10096-R10099, 1998 .

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato and S. Kawakami, "Photonic crystals for micro lightwave circuits using wavelength-dependent angular beam steering", Appl. Phys. Lett., vol. 74, pp. 1370-1372, 1999.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato and S. Kawakami, "Self-collimating phenomena in photonic crystals", Appl. Phys. Lett., vol. 74, pp. 1212-1214, 1999.

H. Kosaka, T. Kawashima, A. Tomita, T. Sato and S. Kawakami, "Photonic-crystal spot-size converter", Appl. Phys. Lett., vol. 76, pp. 268-270, 2000.

T. Ochiai and J. Sánchez-Dehesa, "Superprism effect in opal-based photonic crystals", Phys. Rev. B, Condens. Matter, vol. 64, pp. 245 113-1-245 113-7, 2001.

T. Prasad, V. Colvin and D. Mittleman, "Superprism phenomenon in three-dimensional macropouros polymer photonic crystals", Phys. Rev. B, Condens. Matter, vol. 67, pp. 165 103-1-165 103-7, 2003.

T. Baba and M. Nakamura, "Photonic crystal light deflection devices using the superprism effect", IEEE J. Quantum Electron., vol. 38, pp. 909-914, July 2002.

T. Baba and T. Matsumoto, "Resolution of photonic crystal superprism", Appl. Phys. Lett., vol. 81, pp. 2325-2327, 2002.

K. B. Chung and S. W. Hong, "Wavelength demultiplexers based on the superprism phenomena in photonic crystals", Appl. Phys. Lett., vol. 81, pp. 1549-1551, 2002.

D. Scrymgeour, N. Malkova, S. Kim and V. Gopalan, "Electro-optic control of the superprism effect in photonic crystals", Appl. Phys. Lett., vol. 82, pp. 3176-3178, 2003.

L. Wu, M. Mazilu, T. Karle and T. F. Krauss, "Superprism phenomena in planar photonic crystals", IEEE J. Quantum Electron., vol. 38, pp. 915-918, July 2002 .

S. G. Johnson, S. Fan, P. R. Villeneuve, J. D. Joannopoulos and L. A. Kolodziesjski, "Guided modes in photonic crystal slabs", Phys. Rev. B, Condens. Matter, vol. 60, pp. 5751-5758, 1999.

L. C. Andreani and M. Agio, "Photonic bands and gap maps in a photonic crystal slab", IEEE J. Quantum Electron., vol. 38, pp. 891-898, July 2002 .

A. Taflove and S. C. Hagness, Computational Electrodynamics: The FDTD Method, Norwood, MA: Artech House, 2002.

D. C. Wittwer and R. W. Ziolkowsky, "Two time-derivative Lorentz material (2TDLM) formulation of a maxwellian absorbing layer matched to a lossy medium", IEEE Trans. Antennas Propagat., vol. 48, pp. 192-199, Feb. 2000.

H. Y. Ryu, M. Notomi and Y. H. Lee, "Finite-difference time-domain investigation of band-edge resonant modes in finite-size two-dimensional photonic crystal slab", Phys. Rev. B, Condens. Matter, vol. 68, pp. 045 209-1-045 209-8, 2003.

H. Benisty, D. Labilloy, C. Weisbuch, C. J. Smith, T. F. Krauss, D. Cassagne, A. Braud and C. Jouanin, "Radiation losses of waveguide-based two-dimensional photonic crystals: Positive role of the substrate", Appl. Phys. Lett., vol. 76, pp. 532-534, 2000.

H. Benisty, P. H. Lalanne, S. Olivier, M. Rattier, C. Weisbuch, C. J. Smith, T. F. Krauss, C. Jouanin and D. Cassagne, "Finite-depth and intrinsic losses in vertically etched two-dimensional photonic crystals", Opt. Quantum Electron. , vol. 34, pp. 205-215, 2002.

G. Bottger, C. Liguda, M. Schmidt and M. Eich, "Improved transmission characteristics of moderate refractive index contrast photonic crystal slabs", Appl. Phys. Lett. , vol. 81, pp. 2517-2519, 2002.

M. Kafesaki, M. Agio and C. M. Soukoulis, "Waveguides in finite-height two-dimensional photonic crystals", J. Opt. Soc. Amer. B, Opt. Phys., vol. 19, pp. 2232-2240, 2002.

N. Kawai, K. Inoue, N. Carlsson, N. Ikeda, Y. Sugimoto, K. Asakawa and T. Takemori, "Confined band gap in air-bridge type of two-dimensional AlGaAs photonic crystal", Phys. Rev. Lett., vol. 86, pp. 2289-2292, 2001.

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