Abstract

We propose the hybrid integration of conventional index-guided waveguides (CWGs) and photonic crystal (PhC) regions of very limited spatial extent as a promising path toward large-scale planar lightwave circuit (PLC) integration. In CWG/PhC structures the PhC regions do not perform the function of waveguiding, but instead augment the CWGs to permit a drastic reduction in the size of photonic components. For single mode waveguides with a refractive index contrast of only 2.3%, simulation results show a 90 degree bend with 98.7% efficiency, a compact beamsplitter with 99.4% total efficiency, and a planar Mach-Zender interferometer (MZI) with 97.8% efficiency. The MZI occupies an area of only 18 μm × 18 μm.

© 2002 Optical Society of America

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  1. See for example the special issue on photonic crystals in IEEE J. Quant. Elect.38 (2002).
  2. H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. D. L. Rue, R. Houdre, U. Oesterle, C. Jouanin, and D. Cassagne, “Optical and Confinement Properties of Two-Dimensional Photonic Crystals” J. Lightwave Technol. 172063 (1999).
    [CrossRef]
  3. S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Linear waveguides in photonic-crystal slabs” Phys. Rev. B 628212 (2000).
    [CrossRef]
  4. T. Baba, A. Motegi, T. Iwai, N. Fukaya, Y. Watanabe, and A. Sakai, “Light Propagation Characteristics of Straight Single-Line-Defect Waveguides in Photonic Crystal Slabs Fabricated Into a Silicon-on-Insulator Substrate” IEEE J. Quantum Electron. 38743 (2002).
    [CrossRef]
  5. Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai, and K. Inoue, “AlGaAs-Based Two-Dimensional Photonic Crystal Slab With Defect Waveguides for Planar Lightwave Circuit Applications” IEEE J. Quantum Electron. 38760 (2002).
    [CrossRef]
  6. A. Adibi, Y. Xu, R. K. Lee, A. Yariv, and A. Scherer, “Properties of the Slab Modes in Photonic Crystal Optical Waveguides” J. Lightwave Technol. 181554 (2000).
    [CrossRef]
  7. M. Loncar, T. Doll, J. Vuckovic, and A. Scherer, “Design and fabrication of silicon photonic crystal optical waveguides,” J. Lightwave Techn. 181402 (2000).
    [CrossRef]
  8. A. Chutinan and S. Noda, “Waveguides and Waveguide Bends in Two-Dimensional Photonic Crystal Slabs”, Phys. Rev. B Condens. Matter 624488 (2000).
    [CrossRef]
  9. S. Y. Lin, E. Chow, S. G. Johnson, and J. D. Joannopoulos, “Demonstration of highly efficient waveguiding in a photonic crystal slab at the 1.5- μm wavelength” Opt. Lett. 251297 (2000).
    [CrossRef]
  10. A. Talneau, L. L. Gouezigou, and N. Bouadma, “Quantitative measurement of low propagation losses at 1.55 μm on planar photonic crystal waveguides” Opt. Lett. 261259 (2001).
    [CrossRef]
  11. M. Notomi, A. Shinya, K. Yamada, J. Takahashi, C. Takahashi, and I. Yokohama, ”Structural Tuning of Guiding Modes of Line-Defect Waveguides of Silicon-on-Insulator Photonic Crystal Slabs” IEEE J. Quantum Electron. 38736 (2002).
    [CrossRef]
  12. A. Talneau, L. L. Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, “Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55 μm” Appl. Phys. Lett. 80547 (2002).
    [CrossRef]
  13. H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdre, and U. Oesterle, “Models and Measurements for the Transmission of Submicron- Width Waveguide Bends Defined in Two-Dimensional Photonic Crystals” IEEE J. Quantum Electron. 38770 (2002).
    [CrossRef]
  14. S. Olivier, H. Benisty, C. Weisbuch, C. J. M. Smith, T. F. Krauss, R. Houdre, and U. Oesterle., “Improved 60° Bend Transmission of Submicron-Width Waveguides Defined in Two-Dimensional Photonic Crystals” J. Lightwave Technol. 201198 (2002).
    [CrossRef]
  15. Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai, and K. Inoue, “Light-propagation characteristics of Y-branch defect waveguides in AlGaAs-based air-bridge-type two-dimensional photonic crystal slabs” Opt. Lett. 27388 (2002).
    [CrossRef]
  16. S. Boscolo, M. Midrio, and T. F. Krauss, “Y junctions in photonic crystal channel waveguides: high transmission and impedance matching” Opt. Lett. 271001 (2002).
    [CrossRef]
  17. O. Painter, A. Husain, A. Scherer, P. T. Lee, I. Kim, J. D. O’Brien, and P. D. Dapkus, ”Lithographic Tuning of a Two-Dimensional Photonic Crystal Laser Array” IEEE Photon. Technol. Lett. 121126 (2000).
    [CrossRef]
  18. S. Y. Lin, E. Chow, S. G. Johnson, and J. D. Joannopoulos, “Direct measurement of the quality factor in a two-dimensional photonic-crystal microcavity” Opt. Lett. 261903 (2001).
    [CrossRef]
  19. H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Beraud, and C. Jouanin, “Radiation losses of waveguide-based two-dimensional photonic crystals: Positive role of the substrate” Appl. Phys. Lett. 76532 (2000).
    [CrossRef]
  20. W. Bogaerts, P. Bienstman, D. Taillaert, R. Baets, and D. D. Zutter, “Out-of-plane Scattering in Photonic Crystal Slabs” IEEE Photon. Technol. Lett. 13565 (2001).
    [CrossRef]
  21. P. Lalanne and H. Benisty, “Out-of-plane losses of two-dimensional photonic crystals waveguides: Electromagnetic analysis” J. Appl. Phys. 891512 (2001).
    [CrossRef]
  22. P. Lalanne, “Electromagnetic Analysis of Photonic Crystal Waveguides Operating Above the Light Cone” IEEE J. Quantum Electron. 38800 (2002).
    [CrossRef]
  23. M. Tokushima and H. Yamada, “Light Propagation in a Photonic-Crystal-Slab Line-Defect Waveguide” IEEE J. Quantum Electron. 38753 (2002).
    [CrossRef]
  24. A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High Transmission through Sharp Bends in Photonic Crystal Waveguides” Phys. Rev. Lett. 773787 (1996).
    [CrossRef] [PubMed]
  25. A. Sharkawy, S. Shi, and D. W. Prather, “Multichannel wavelength division multiplexing with photonic crystals” Appl. Opt. 402247 (2001).
    [CrossRef]
  26. S. Olivier, C. Smith, M. Rattier, H. Benisty, C. Weisbuch, T. Krauss, R. Houdre, and U. Oesterle, “Miniband transmission in a photonic crystal coupled-resonator optical waveguide” Opt. Lett. 261019 (2001).
    [CrossRef]
  27. A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method, (Artech House, Boston, Mass.,1995).
  28. J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 114, 185–200 (1994).
    [CrossRef]
  29. P. S. J. Russell, T. A. Birks, and F. D. L. Lucas, “Photonic bloch waves and photonic band gaps” in Confined Electrons and Photonics: New Physics and Applications, E. Burstein and C. Weisbuch, eds. (Plenum Press, New York, 1995).
    [CrossRef]
  30. M. Notomi, “Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap” Phys. Rev. B 62 10,696 (2000).
    [CrossRef]

2002 (10)

T. Baba, A. Motegi, T. Iwai, N. Fukaya, Y. Watanabe, and A. Sakai, “Light Propagation Characteristics of Straight Single-Line-Defect Waveguides in Photonic Crystal Slabs Fabricated Into a Silicon-on-Insulator Substrate” IEEE J. Quantum Electron. 38743 (2002).
[CrossRef]

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai, and K. Inoue, “AlGaAs-Based Two-Dimensional Photonic Crystal Slab With Defect Waveguides for Planar Lightwave Circuit Applications” IEEE J. Quantum Electron. 38760 (2002).
[CrossRef]

M. Notomi, A. Shinya, K. Yamada, J. Takahashi, C. Takahashi, and I. Yokohama, ”Structural Tuning of Guiding Modes of Line-Defect Waveguides of Silicon-on-Insulator Photonic Crystal Slabs” IEEE J. Quantum Electron. 38736 (2002).
[CrossRef]

A. Talneau, L. L. Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, “Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55 μm” Appl. Phys. Lett. 80547 (2002).
[CrossRef]

H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdre, and U. Oesterle, “Models and Measurements for the Transmission of Submicron- Width Waveguide Bends Defined in Two-Dimensional Photonic Crystals” IEEE J. Quantum Electron. 38770 (2002).
[CrossRef]

P. Lalanne, “Electromagnetic Analysis of Photonic Crystal Waveguides Operating Above the Light Cone” IEEE J. Quantum Electron. 38800 (2002).
[CrossRef]

M. Tokushima and H. Yamada, “Light Propagation in a Photonic-Crystal-Slab Line-Defect Waveguide” IEEE J. Quantum Electron. 38753 (2002).
[CrossRef]

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai, and K. Inoue, “Light-propagation characteristics of Y-branch defect waveguides in AlGaAs-based air-bridge-type two-dimensional photonic crystal slabs” Opt. Lett. 27388 (2002).
[CrossRef]

S. Boscolo, M. Midrio, and T. F. Krauss, “Y junctions in photonic crystal channel waveguides: high transmission and impedance matching” Opt. Lett. 271001 (2002).
[CrossRef]

S. Olivier, H. Benisty, C. Weisbuch, C. J. M. Smith, T. F. Krauss, R. Houdre, and U. Oesterle., “Improved 60° Bend Transmission of Submicron-Width Waveguides Defined in Two-Dimensional Photonic Crystals” J. Lightwave Technol. 201198 (2002).
[CrossRef]

2001 (6)

2000 (8)

M. Notomi, “Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap” Phys. Rev. B 62 10,696 (2000).
[CrossRef]

S. Y. Lin, E. Chow, S. G. Johnson, and J. D. Joannopoulos, “Demonstration of highly efficient waveguiding in a photonic crystal slab at the 1.5- μm wavelength” Opt. Lett. 251297 (2000).
[CrossRef]

O. Painter, A. Husain, A. Scherer, P. T. Lee, I. Kim, J. D. O’Brien, and P. D. Dapkus, ”Lithographic Tuning of a Two-Dimensional Photonic Crystal Laser Array” IEEE Photon. Technol. Lett. 121126 (2000).
[CrossRef]

H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Beraud, and C. Jouanin, “Radiation losses of waveguide-based two-dimensional photonic crystals: Positive role of the substrate” Appl. Phys. Lett. 76532 (2000).
[CrossRef]

M. Loncar, T. Doll, J. Vuckovic, and A. Scherer, “Design and fabrication of silicon photonic crystal optical waveguides,” J. Lightwave Techn. 181402 (2000).
[CrossRef]

A. Chutinan and S. Noda, “Waveguides and Waveguide Bends in Two-Dimensional Photonic Crystal Slabs”, Phys. Rev. B Condens. Matter 624488 (2000).
[CrossRef]

A. Adibi, Y. Xu, R. K. Lee, A. Yariv, and A. Scherer, “Properties of the Slab Modes in Photonic Crystal Optical Waveguides” J. Lightwave Technol. 181554 (2000).
[CrossRef]

S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Linear waveguides in photonic-crystal slabs” Phys. Rev. B 628212 (2000).
[CrossRef]

1999 (1)

1996 (1)

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High Transmission through Sharp Bends in Photonic Crystal Waveguides” Phys. Rev. Lett. 773787 (1996).
[CrossRef] [PubMed]

1994 (1)

J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 114, 185–200 (1994).
[CrossRef]

Adibi, A.

Agio, M.

A. Talneau, L. L. Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, “Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55 μm” Appl. Phys. Lett. 80547 (2002).
[CrossRef]

H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdre, and U. Oesterle, “Models and Measurements for the Transmission of Submicron- Width Waveguide Bends Defined in Two-Dimensional Photonic Crystals” IEEE J. Quantum Electron. 38770 (2002).
[CrossRef]

Asakawa, K.

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai, and K. Inoue, “AlGaAs-Based Two-Dimensional Photonic Crystal Slab With Defect Waveguides for Planar Lightwave Circuit Applications” IEEE J. Quantum Electron. 38760 (2002).
[CrossRef]

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai, and K. Inoue, “Light-propagation characteristics of Y-branch defect waveguides in AlGaAs-based air-bridge-type two-dimensional photonic crystal slabs” Opt. Lett. 27388 (2002).
[CrossRef]

Baba, T.

T. Baba, A. Motegi, T. Iwai, N. Fukaya, Y. Watanabe, and A. Sakai, “Light Propagation Characteristics of Straight Single-Line-Defect Waveguides in Photonic Crystal Slabs Fabricated Into a Silicon-on-Insulator Substrate” IEEE J. Quantum Electron. 38743 (2002).
[CrossRef]

Baets, R.

W. Bogaerts, P. Bienstman, D. Taillaert, R. Baets, and D. D. Zutter, “Out-of-plane Scattering in Photonic Crystal Slabs” IEEE Photon. Technol. Lett. 13565 (2001).
[CrossRef]

Benisty, H.

H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdre, and U. Oesterle, “Models and Measurements for the Transmission of Submicron- Width Waveguide Bends Defined in Two-Dimensional Photonic Crystals” IEEE J. Quantum Electron. 38770 (2002).
[CrossRef]

S. Olivier, H. Benisty, C. Weisbuch, C. J. M. Smith, T. F. Krauss, R. Houdre, and U. Oesterle., “Improved 60° Bend Transmission of Submicron-Width Waveguides Defined in Two-Dimensional Photonic Crystals” J. Lightwave Technol. 201198 (2002).
[CrossRef]

S. Olivier, C. Smith, M. Rattier, H. Benisty, C. Weisbuch, T. Krauss, R. Houdre, and U. Oesterle, “Miniband transmission in a photonic crystal coupled-resonator optical waveguide” Opt. Lett. 261019 (2001).
[CrossRef]

P. Lalanne and H. Benisty, “Out-of-plane losses of two-dimensional photonic crystals waveguides: Electromagnetic analysis” J. Appl. Phys. 891512 (2001).
[CrossRef]

H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Beraud, and C. Jouanin, “Radiation losses of waveguide-based two-dimensional photonic crystals: Positive role of the substrate” Appl. Phys. Lett. 76532 (2000).
[CrossRef]

H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. D. L. Rue, R. Houdre, U. Oesterle, C. Jouanin, and D. Cassagne, “Optical and Confinement Properties of Two-Dimensional Photonic Crystals” J. Lightwave Technol. 172063 (1999).
[CrossRef]

Beraud, A.

H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Beraud, and C. Jouanin, “Radiation losses of waveguide-based two-dimensional photonic crystals: Positive role of the substrate” Appl. Phys. Lett. 76532 (2000).
[CrossRef]

Berenger, J. P.

J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 114, 185–200 (1994).
[CrossRef]

Bienstman, P.

W. Bogaerts, P. Bienstman, D. Taillaert, R. Baets, and D. D. Zutter, “Out-of-plane Scattering in Photonic Crystal Slabs” IEEE Photon. Technol. Lett. 13565 (2001).
[CrossRef]

Birks, T. A.

P. S. J. Russell, T. A. Birks, and F. D. L. Lucas, “Photonic bloch waves and photonic band gaps” in Confined Electrons and Photonics: New Physics and Applications, E. Burstein and C. Weisbuch, eds. (Plenum Press, New York, 1995).
[CrossRef]

Bogaerts, W.

W. Bogaerts, P. Bienstman, D. Taillaert, R. Baets, and D. D. Zutter, “Out-of-plane Scattering in Photonic Crystal Slabs” IEEE Photon. Technol. Lett. 13565 (2001).
[CrossRef]

Boscolo, S.

Bouadma, N.

A. Talneau, L. L. Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, “Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55 μm” Appl. Phys. Lett. 80547 (2002).
[CrossRef]

A. Talneau, L. L. Gouezigou, and N. Bouadma, “Quantitative measurement of low propagation losses at 1.55 μm on planar photonic crystal waveguides” Opt. Lett. 261259 (2001).
[CrossRef]

Carlsson, N.

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai, and K. Inoue, “Light-propagation characteristics of Y-branch defect waveguides in AlGaAs-based air-bridge-type two-dimensional photonic crystal slabs” Opt. Lett. 27388 (2002).
[CrossRef]

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai, and K. Inoue, “AlGaAs-Based Two-Dimensional Photonic Crystal Slab With Defect Waveguides for Planar Lightwave Circuit Applications” IEEE J. Quantum Electron. 38760 (2002).
[CrossRef]

Cassagne, D.

H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Beraud, and C. Jouanin, “Radiation losses of waveguide-based two-dimensional photonic crystals: Positive role of the substrate” Appl. Phys. Lett. 76532 (2000).
[CrossRef]

H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. D. L. Rue, R. Houdre, U. Oesterle, C. Jouanin, and D. Cassagne, “Optical and Confinement Properties of Two-Dimensional Photonic Crystals” J. Lightwave Technol. 172063 (1999).
[CrossRef]

Chen, J. C.

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High Transmission through Sharp Bends in Photonic Crystal Waveguides” Phys. Rev. Lett. 773787 (1996).
[CrossRef] [PubMed]

Chow, E.

Chutinan, A.

A. Chutinan and S. Noda, “Waveguides and Waveguide Bends in Two-Dimensional Photonic Crystal Slabs”, Phys. Rev. B Condens. Matter 624488 (2000).
[CrossRef]

Dapkus, P. D.

O. Painter, A. Husain, A. Scherer, P. T. Lee, I. Kim, J. D. O’Brien, and P. D. Dapkus, ”Lithographic Tuning of a Two-Dimensional Photonic Crystal Laser Array” IEEE Photon. Technol. Lett. 121126 (2000).
[CrossRef]

Doll, T.

M. Loncar, T. Doll, J. Vuckovic, and A. Scherer, “Design and fabrication of silicon photonic crystal optical waveguides,” J. Lightwave Techn. 181402 (2000).
[CrossRef]

Fan, S.

S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Linear waveguides in photonic-crystal slabs” Phys. Rev. B 628212 (2000).
[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High Transmission through Sharp Bends in Photonic Crystal Waveguides” Phys. Rev. Lett. 773787 (1996).
[CrossRef] [PubMed]

Ferrini, R.

H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdre, and U. Oesterle, “Models and Measurements for the Transmission of Submicron- Width Waveguide Bends Defined in Two-Dimensional Photonic Crystals” IEEE J. Quantum Electron. 38770 (2002).
[CrossRef]

Forchel, A.

H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdre, and U. Oesterle, “Models and Measurements for the Transmission of Submicron- Width Waveguide Bends Defined in Two-Dimensional Photonic Crystals” IEEE J. Quantum Electron. 38770 (2002).
[CrossRef]

Fukaya, N.

T. Baba, A. Motegi, T. Iwai, N. Fukaya, Y. Watanabe, and A. Sakai, “Light Propagation Characteristics of Straight Single-Line-Defect Waveguides in Photonic Crystal Slabs Fabricated Into a Silicon-on-Insulator Substrate” IEEE J. Quantum Electron. 38743 (2002).
[CrossRef]

Gouezigou, L. L.

A. Talneau, L. L. Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, “Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55 μm” Appl. Phys. Lett. 80547 (2002).
[CrossRef]

A. Talneau, L. L. Gouezigou, and N. Bouadma, “Quantitative measurement of low propagation losses at 1.55 μm on planar photonic crystal waveguides” Opt. Lett. 261259 (2001).
[CrossRef]

Houdre, R.

Husain, A.

O. Painter, A. Husain, A. Scherer, P. T. Lee, I. Kim, J. D. O’Brien, and P. D. Dapkus, ”Lithographic Tuning of a Two-Dimensional Photonic Crystal Laser Array” IEEE Photon. Technol. Lett. 121126 (2000).
[CrossRef]

Ikeda, N.

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai, and K. Inoue, “Light-propagation characteristics of Y-branch defect waveguides in AlGaAs-based air-bridge-type two-dimensional photonic crystal slabs” Opt. Lett. 27388 (2002).
[CrossRef]

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai, and K. Inoue, “AlGaAs-Based Two-Dimensional Photonic Crystal Slab With Defect Waveguides for Planar Lightwave Circuit Applications” IEEE J. Quantum Electron. 38760 (2002).
[CrossRef]

Inoue, K.

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai, and K. Inoue, “AlGaAs-Based Two-Dimensional Photonic Crystal Slab With Defect Waveguides for Planar Lightwave Circuit Applications” IEEE J. Quantum Electron. 38760 (2002).
[CrossRef]

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai, and K. Inoue, “Light-propagation characteristics of Y-branch defect waveguides in AlGaAs-based air-bridge-type two-dimensional photonic crystal slabs” Opt. Lett. 27388 (2002).
[CrossRef]

Iwai, T.

T. Baba, A. Motegi, T. Iwai, N. Fukaya, Y. Watanabe, and A. Sakai, “Light Propagation Characteristics of Straight Single-Line-Defect Waveguides in Photonic Crystal Slabs Fabricated Into a Silicon-on-Insulator Substrate” IEEE J. Quantum Electron. 38743 (2002).
[CrossRef]

Jaskorzynska, B.

H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdre, and U. Oesterle, “Models and Measurements for the Transmission of Submicron- Width Waveguide Bends Defined in Two-Dimensional Photonic Crystals” IEEE J. Quantum Electron. 38770 (2002).
[CrossRef]

Joannopoulos, J. D.

S. Y. Lin, E. Chow, S. G. Johnson, and J. D. Joannopoulos, “Direct measurement of the quality factor in a two-dimensional photonic-crystal microcavity” Opt. Lett. 261903 (2001).
[CrossRef]

S. Y. Lin, E. Chow, S. G. Johnson, and J. D. Joannopoulos, “Demonstration of highly efficient waveguiding in a photonic crystal slab at the 1.5- μm wavelength” Opt. Lett. 251297 (2000).
[CrossRef]

S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Linear waveguides in photonic-crystal slabs” Phys. Rev. B 628212 (2000).
[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High Transmission through Sharp Bends in Photonic Crystal Waveguides” Phys. Rev. Lett. 773787 (1996).
[CrossRef] [PubMed]

Johnson, S. G.

Jouanin, C.

H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Beraud, and C. Jouanin, “Radiation losses of waveguide-based two-dimensional photonic crystals: Positive role of the substrate” Appl. Phys. Lett. 76532 (2000).
[CrossRef]

H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. D. L. Rue, R. Houdre, U. Oesterle, C. Jouanin, and D. Cassagne, “Optical and Confinement Properties of Two-Dimensional Photonic Crystals” J. Lightwave Technol. 172063 (1999).
[CrossRef]

Kafesaki, M.

A. Talneau, L. L. Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, “Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55 μm” Appl. Phys. Lett. 80547 (2002).
[CrossRef]

H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdre, and U. Oesterle, “Models and Measurements for the Transmission of Submicron- Width Waveguide Bends Defined in Two-Dimensional Photonic Crystals” IEEE J. Quantum Electron. 38770 (2002).
[CrossRef]

Kamp, M.

H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdre, and U. Oesterle, “Models and Measurements for the Transmission of Submicron- Width Waveguide Bends Defined in Two-Dimensional Photonic Crystals” IEEE J. Quantum Electron. 38770 (2002).
[CrossRef]

Karlsson, A.

H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdre, and U. Oesterle, “Models and Measurements for the Transmission of Submicron- Width Waveguide Bends Defined in Two-Dimensional Photonic Crystals” IEEE J. Quantum Electron. 38770 (2002).
[CrossRef]

Kawai, N.

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai, and K. Inoue, “AlGaAs-Based Two-Dimensional Photonic Crystal Slab With Defect Waveguides for Planar Lightwave Circuit Applications” IEEE J. Quantum Electron. 38760 (2002).
[CrossRef]

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai, and K. Inoue, “Light-propagation characteristics of Y-branch defect waveguides in AlGaAs-based air-bridge-type two-dimensional photonic crystal slabs” Opt. Lett. 27388 (2002).
[CrossRef]

Kim, I.

O. Painter, A. Husain, A. Scherer, P. T. Lee, I. Kim, J. D. O’Brien, and P. D. Dapkus, ”Lithographic Tuning of a Two-Dimensional Photonic Crystal Laser Array” IEEE Photon. Technol. Lett. 121126 (2000).
[CrossRef]

Krauss, T.

Krauss, T. F.

Kurland, I.

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High Transmission through Sharp Bends in Photonic Crystal Waveguides” Phys. Rev. Lett. 773787 (1996).
[CrossRef] [PubMed]

Labilloy, D.

H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Beraud, and C. Jouanin, “Radiation losses of waveguide-based two-dimensional photonic crystals: Positive role of the substrate” Appl. Phys. Lett. 76532 (2000).
[CrossRef]

H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. D. L. Rue, R. Houdre, U. Oesterle, C. Jouanin, and D. Cassagne, “Optical and Confinement Properties of Two-Dimensional Photonic Crystals” J. Lightwave Technol. 172063 (1999).
[CrossRef]

Lalanne, P.

P. Lalanne, “Electromagnetic Analysis of Photonic Crystal Waveguides Operating Above the Light Cone” IEEE J. Quantum Electron. 38800 (2002).
[CrossRef]

P. Lalanne and H. Benisty, “Out-of-plane losses of two-dimensional photonic crystals waveguides: Electromagnetic analysis” J. Appl. Phys. 891512 (2001).
[CrossRef]

Lee, P. T.

O. Painter, A. Husain, A. Scherer, P. T. Lee, I. Kim, J. D. O’Brien, and P. D. Dapkus, ”Lithographic Tuning of a Two-Dimensional Photonic Crystal Laser Array” IEEE Photon. Technol. Lett. 121126 (2000).
[CrossRef]

Lee, R. K.

Lin, S. Y.

Loncar, M.

M. Loncar, T. Doll, J. Vuckovic, and A. Scherer, “Design and fabrication of silicon photonic crystal optical waveguides,” J. Lightwave Techn. 181402 (2000).
[CrossRef]

Lucas, F. D. L.

P. S. J. Russell, T. A. Birks, and F. D. L. Lucas, “Photonic bloch waves and photonic band gaps” in Confined Electrons and Photonics: New Physics and Applications, E. Burstein and C. Weisbuch, eds. (Plenum Press, New York, 1995).
[CrossRef]

Mekis, A.

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High Transmission through Sharp Bends in Photonic Crystal Waveguides” Phys. Rev. Lett. 773787 (1996).
[CrossRef] [PubMed]

Midrio, M.

Moosburger, J.

H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdre, and U. Oesterle, “Models and Measurements for the Transmission of Submicron- Width Waveguide Bends Defined in Two-Dimensional Photonic Crystals” IEEE J. Quantum Electron. 38770 (2002).
[CrossRef]

Motegi, A.

T. Baba, A. Motegi, T. Iwai, N. Fukaya, Y. Watanabe, and A. Sakai, “Light Propagation Characteristics of Straight Single-Line-Defect Waveguides in Photonic Crystal Slabs Fabricated Into a Silicon-on-Insulator Substrate” IEEE J. Quantum Electron. 38743 (2002).
[CrossRef]

Noda, S.

A. Chutinan and S. Noda, “Waveguides and Waveguide Bends in Two-Dimensional Photonic Crystal Slabs”, Phys. Rev. B Condens. Matter 624488 (2000).
[CrossRef]

Notomi, M.

M. Notomi, A. Shinya, K. Yamada, J. Takahashi, C. Takahashi, and I. Yokohama, ”Structural Tuning of Guiding Modes of Line-Defect Waveguides of Silicon-on-Insulator Photonic Crystal Slabs” IEEE J. Quantum Electron. 38736 (2002).
[CrossRef]

M. Notomi, “Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap” Phys. Rev. B 62 10,696 (2000).
[CrossRef]

O’Brien, J. D.

O. Painter, A. Husain, A. Scherer, P. T. Lee, I. Kim, J. D. O’Brien, and P. D. Dapkus, ”Lithographic Tuning of a Two-Dimensional Photonic Crystal Laser Array” IEEE Photon. Technol. Lett. 121126 (2000).
[CrossRef]

Oesterle, U.

Olivier, S.

S. Olivier, H. Benisty, C. Weisbuch, C. J. M. Smith, T. F. Krauss, R. Houdre, and U. Oesterle., “Improved 60° Bend Transmission of Submicron-Width Waveguides Defined in Two-Dimensional Photonic Crystals” J. Lightwave Technol. 201198 (2002).
[CrossRef]

H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdre, and U. Oesterle, “Models and Measurements for the Transmission of Submicron- Width Waveguide Bends Defined in Two-Dimensional Photonic Crystals” IEEE J. Quantum Electron. 38770 (2002).
[CrossRef]

S. Olivier, C. Smith, M. Rattier, H. Benisty, C. Weisbuch, T. Krauss, R. Houdre, and U. Oesterle, “Miniband transmission in a photonic crystal coupled-resonator optical waveguide” Opt. Lett. 261019 (2001).
[CrossRef]

Painter, O.

O. Painter, A. Husain, A. Scherer, P. T. Lee, I. Kim, J. D. O’Brien, and P. D. Dapkus, ”Lithographic Tuning of a Two-Dimensional Photonic Crystal Laser Array” IEEE Photon. Technol. Lett. 121126 (2000).
[CrossRef]

Prather, D. W.

Qiu, M.

H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdre, and U. Oesterle, “Models and Measurements for the Transmission of Submicron- Width Waveguide Bends Defined in Two-Dimensional Photonic Crystals” IEEE J. Quantum Electron. 38770 (2002).
[CrossRef]

Rattier, M.

Rue, R. M. D. L.

Russell, P. S. J.

P. S. J. Russell, T. A. Birks, and F. D. L. Lucas, “Photonic bloch waves and photonic band gaps” in Confined Electrons and Photonics: New Physics and Applications, E. Burstein and C. Weisbuch, eds. (Plenum Press, New York, 1995).
[CrossRef]

Sakai, A.

T. Baba, A. Motegi, T. Iwai, N. Fukaya, Y. Watanabe, and A. Sakai, “Light Propagation Characteristics of Straight Single-Line-Defect Waveguides in Photonic Crystal Slabs Fabricated Into a Silicon-on-Insulator Substrate” IEEE J. Quantum Electron. 38743 (2002).
[CrossRef]

Scherer, A.

M. Loncar, T. Doll, J. Vuckovic, and A. Scherer, “Design and fabrication of silicon photonic crystal optical waveguides,” J. Lightwave Techn. 181402 (2000).
[CrossRef]

O. Painter, A. Husain, A. Scherer, P. T. Lee, I. Kim, J. D. O’Brien, and P. D. Dapkus, ”Lithographic Tuning of a Two-Dimensional Photonic Crystal Laser Array” IEEE Photon. Technol. Lett. 121126 (2000).
[CrossRef]

A. Adibi, Y. Xu, R. K. Lee, A. Yariv, and A. Scherer, “Properties of the Slab Modes in Photonic Crystal Optical Waveguides” J. Lightwave Technol. 181554 (2000).
[CrossRef]

Sharkawy, A.

Shi, S.

Shinya, A.

M. Notomi, A. Shinya, K. Yamada, J. Takahashi, C. Takahashi, and I. Yokohama, ”Structural Tuning of Guiding Modes of Line-Defect Waveguides of Silicon-on-Insulator Photonic Crystal Slabs” IEEE J. Quantum Electron. 38736 (2002).
[CrossRef]

Smith, C.

Smith, C. J. M.

Soukoulis, C. M.

H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdre, and U. Oesterle, “Models and Measurements for the Transmission of Submicron- Width Waveguide Bends Defined in Two-Dimensional Photonic Crystals” IEEE J. Quantum Electron. 38770 (2002).
[CrossRef]

A. Talneau, L. L. Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, “Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55 μm” Appl. Phys. Lett. 80547 (2002).
[CrossRef]

Sugimoto, Y.

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai, and K. Inoue, “AlGaAs-Based Two-Dimensional Photonic Crystal Slab With Defect Waveguides for Planar Lightwave Circuit Applications” IEEE J. Quantum Electron. 38760 (2002).
[CrossRef]

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai, and K. Inoue, “Light-propagation characteristics of Y-branch defect waveguides in AlGaAs-based air-bridge-type two-dimensional photonic crystal slabs” Opt. Lett. 27388 (2002).
[CrossRef]

Swillo, M.

H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdre, and U. Oesterle, “Models and Measurements for the Transmission of Submicron- Width Waveguide Bends Defined in Two-Dimensional Photonic Crystals” IEEE J. Quantum Electron. 38770 (2002).
[CrossRef]

Taflove, A.

A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method, (Artech House, Boston, Mass.,1995).

Taillaert, D.

W. Bogaerts, P. Bienstman, D. Taillaert, R. Baets, and D. D. Zutter, “Out-of-plane Scattering in Photonic Crystal Slabs” IEEE Photon. Technol. Lett. 13565 (2001).
[CrossRef]

Takahashi, C.

M. Notomi, A. Shinya, K. Yamada, J. Takahashi, C. Takahashi, and I. Yokohama, ”Structural Tuning of Guiding Modes of Line-Defect Waveguides of Silicon-on-Insulator Photonic Crystal Slabs” IEEE J. Quantum Electron. 38736 (2002).
[CrossRef]

Takahashi, J.

M. Notomi, A. Shinya, K. Yamada, J. Takahashi, C. Takahashi, and I. Yokohama, ”Structural Tuning of Guiding Modes of Line-Defect Waveguides of Silicon-on-Insulator Photonic Crystal Slabs” IEEE J. Quantum Electron. 38736 (2002).
[CrossRef]

Talneau, A.

A. Talneau, L. L. Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, “Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55 μm” Appl. Phys. Lett. 80547 (2002).
[CrossRef]

H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdre, and U. Oesterle, “Models and Measurements for the Transmission of Submicron- Width Waveguide Bends Defined in Two-Dimensional Photonic Crystals” IEEE J. Quantum Electron. 38770 (2002).
[CrossRef]

A. Talneau, L. L. Gouezigou, and N. Bouadma, “Quantitative measurement of low propagation losses at 1.55 μm on planar photonic crystal waveguides” Opt. Lett. 261259 (2001).
[CrossRef]

Tokushima, M.

M. Tokushima and H. Yamada, “Light Propagation in a Photonic-Crystal-Slab Line-Defect Waveguide” IEEE J. Quantum Electron. 38753 (2002).
[CrossRef]

Villeneuve, P. R.

S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Linear waveguides in photonic-crystal slabs” Phys. Rev. B 628212 (2000).
[CrossRef]

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High Transmission through Sharp Bends in Photonic Crystal Waveguides” Phys. Rev. Lett. 773787 (1996).
[CrossRef] [PubMed]

Vuckovic, J.

M. Loncar, T. Doll, J. Vuckovic, and A. Scherer, “Design and fabrication of silicon photonic crystal optical waveguides,” J. Lightwave Techn. 181402 (2000).
[CrossRef]

Watanabe, Y.

T. Baba, A. Motegi, T. Iwai, N. Fukaya, Y. Watanabe, and A. Sakai, “Light Propagation Characteristics of Straight Single-Line-Defect Waveguides in Photonic Crystal Slabs Fabricated Into a Silicon-on-Insulator Substrate” IEEE J. Quantum Electron. 38743 (2002).
[CrossRef]

Weisbuch, C.

H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdre, and U. Oesterle, “Models and Measurements for the Transmission of Submicron- Width Waveguide Bends Defined in Two-Dimensional Photonic Crystals” IEEE J. Quantum Electron. 38770 (2002).
[CrossRef]

S. Olivier, H. Benisty, C. Weisbuch, C. J. M. Smith, T. F. Krauss, R. Houdre, and U. Oesterle., “Improved 60° Bend Transmission of Submicron-Width Waveguides Defined in Two-Dimensional Photonic Crystals” J. Lightwave Technol. 201198 (2002).
[CrossRef]

S. Olivier, C. Smith, M. Rattier, H. Benisty, C. Weisbuch, T. Krauss, R. Houdre, and U. Oesterle, “Miniband transmission in a photonic crystal coupled-resonator optical waveguide” Opt. Lett. 261019 (2001).
[CrossRef]

H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Beraud, and C. Jouanin, “Radiation losses of waveguide-based two-dimensional photonic crystals: Positive role of the substrate” Appl. Phys. Lett. 76532 (2000).
[CrossRef]

H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. D. L. Rue, R. Houdre, U. Oesterle, C. Jouanin, and D. Cassagne, “Optical and Confinement Properties of Two-Dimensional Photonic Crystals” J. Lightwave Technol. 172063 (1999).
[CrossRef]

Xu, Y.

Yamada, H.

M. Tokushima and H. Yamada, “Light Propagation in a Photonic-Crystal-Slab Line-Defect Waveguide” IEEE J. Quantum Electron. 38753 (2002).
[CrossRef]

Yamada, K.

M. Notomi, A. Shinya, K. Yamada, J. Takahashi, C. Takahashi, and I. Yokohama, ”Structural Tuning of Guiding Modes of Line-Defect Waveguides of Silicon-on-Insulator Photonic Crystal Slabs” IEEE J. Quantum Electron. 38736 (2002).
[CrossRef]

Yariv, A.

Yokohama, I.

M. Notomi, A. Shinya, K. Yamada, J. Takahashi, C. Takahashi, and I. Yokohama, ”Structural Tuning of Guiding Modes of Line-Defect Waveguides of Silicon-on-Insulator Photonic Crystal Slabs” IEEE J. Quantum Electron. 38736 (2002).
[CrossRef]

Zutter, D. D.

W. Bogaerts, P. Bienstman, D. Taillaert, R. Baets, and D. D. Zutter, “Out-of-plane Scattering in Photonic Crystal Slabs” IEEE Photon. Technol. Lett. 13565 (2001).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (2)

H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Beraud, and C. Jouanin, “Radiation losses of waveguide-based two-dimensional photonic crystals: Positive role of the substrate” Appl. Phys. Lett. 76532 (2000).
[CrossRef]

A. Talneau, L. L. Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, “Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55 μm” Appl. Phys. Lett. 80547 (2002).
[CrossRef]

IEEE J. Quantum Electron. (6)

H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, A. Talneau, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdre, and U. Oesterle, “Models and Measurements for the Transmission of Submicron- Width Waveguide Bends Defined in Two-Dimensional Photonic Crystals” IEEE J. Quantum Electron. 38770 (2002).
[CrossRef]

M. Notomi, A. Shinya, K. Yamada, J. Takahashi, C. Takahashi, and I. Yokohama, ”Structural Tuning of Guiding Modes of Line-Defect Waveguides of Silicon-on-Insulator Photonic Crystal Slabs” IEEE J. Quantum Electron. 38736 (2002).
[CrossRef]

T. Baba, A. Motegi, T. Iwai, N. Fukaya, Y. Watanabe, and A. Sakai, “Light Propagation Characteristics of Straight Single-Line-Defect Waveguides in Photonic Crystal Slabs Fabricated Into a Silicon-on-Insulator Substrate” IEEE J. Quantum Electron. 38743 (2002).
[CrossRef]

Y. Sugimoto, N. Ikeda, N. Carlsson, K. Asakawa, N. Kawai, and K. Inoue, “AlGaAs-Based Two-Dimensional Photonic Crystal Slab With Defect Waveguides for Planar Lightwave Circuit Applications” IEEE J. Quantum Electron. 38760 (2002).
[CrossRef]

P. Lalanne, “Electromagnetic Analysis of Photonic Crystal Waveguides Operating Above the Light Cone” IEEE J. Quantum Electron. 38800 (2002).
[CrossRef]

M. Tokushima and H. Yamada, “Light Propagation in a Photonic-Crystal-Slab Line-Defect Waveguide” IEEE J. Quantum Electron. 38753 (2002).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

W. Bogaerts, P. Bienstman, D. Taillaert, R. Baets, and D. D. Zutter, “Out-of-plane Scattering in Photonic Crystal Slabs” IEEE Photon. Technol. Lett. 13565 (2001).
[CrossRef]

O. Painter, A. Husain, A. Scherer, P. T. Lee, I. Kim, J. D. O’Brien, and P. D. Dapkus, ”Lithographic Tuning of a Two-Dimensional Photonic Crystal Laser Array” IEEE Photon. Technol. Lett. 121126 (2000).
[CrossRef]

J. Appl. Phys. (1)

P. Lalanne and H. Benisty, “Out-of-plane losses of two-dimensional photonic crystals waveguides: Electromagnetic analysis” J. Appl. Phys. 891512 (2001).
[CrossRef]

J. Comput. Phys. (1)

J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 114, 185–200 (1994).
[CrossRef]

J. Lightwave Techn. (1)

M. Loncar, T. Doll, J. Vuckovic, and A. Scherer, “Design and fabrication of silicon photonic crystal optical waveguides,” J. Lightwave Techn. 181402 (2000).
[CrossRef]

J. Lightwave Technol. (3)

Opt. Lett. (6)

Phys. Rev. B (2)

M. Notomi, “Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap” Phys. Rev. B 62 10,696 (2000).
[CrossRef]

S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Linear waveguides in photonic-crystal slabs” Phys. Rev. B 628212 (2000).
[CrossRef]

Phys. Rev. B Condens. Matter (1)

A. Chutinan and S. Noda, “Waveguides and Waveguide Bends in Two-Dimensional Photonic Crystal Slabs”, Phys. Rev. B Condens. Matter 624488 (2000).
[CrossRef]

Phys. Rev. Lett. (1)

A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High Transmission through Sharp Bends in Photonic Crystal Waveguides” Phys. Rev. Lett. 773787 (1996).
[CrossRef] [PubMed]

Other (3)

A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method, (Artech House, Boston, Mass.,1995).

P. S. J. Russell, T. A. Birks, and F. D. L. Lucas, “Photonic bloch waves and photonic band gaps” in Confined Electrons and Photonics: New Physics and Applications, E. Burstein and C. Weisbuch, eds. (Plenum Press, New York, 1995).
[CrossRef]

See for example the special issue on photonic crystals in IEEE J. Quant. Elect.38 (2002).

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Figures (4)

Fig. 1.
Fig. 1.

(a) PhC composed of a square Si lattice embedded in a waveguide bend. The square inset is the first Brillouin zone of the PhC. Source and detector lines are described in the text. (b) Efficiency (i.e., power that crosses a given detector line divided by the incident power launched at the waveguide mode source) as a function of wavelength. (c) Image plot (λ = 1.55 μm) of the magnitude squared of the time-average electric field calculated with 2-D FDTD. Yi cell size: 12 nm (λ/130).

Fig. 2.
Fig. 2.

(a) Band diagram for the PhC lattice. (b) Wave vector diagram for three cases: λ = 1.55 μm (black curves), λ = 1.74 μm (blue curves), and λ = 1.24 μm (red curves). The green arrow denotes the primary wave vector of the guided mode incident on the PhC interface. While a single arrow is used for all three wavelengths, it should be understood that it terminates on the appropriate circle for any specific wavelength. The inset shows the first Brillouin zone to aid comparison to the PhC orientation in Fig. 1(a). (c) and (d) Image plots of 2-D FDTD simulation results for sources with wavelengths of 1.74 μm and 1.24 μm, respectively. In both cases the Yi cell size is 10 nm.

Fig. 3.
Fig. 3.

(a) Geometry for beamsplitter. (b) Simulation results for the efficiency as a function of wavelength with which incident light is directed into the horizontal (opex-10-23-1334-i001) and vertical (opex-10-23-1334-i002) waveguides for 1 layer of posts (a = 300 nm, r = 80 nm) and the horizontal (opex-10-23-1334-i003) and vertical (opex-10-23-1334-i004) waveguides for 2 layers of posts (a = 300 nm, r = 83 nm).

Fig. 4.
Fig. 4.

Geometry and simulation result for Mach-Zender interferometer (λ = 1.55 μm). The horizontal and vertical center-to-center waveguide spacing in the interferometer is 9 μm. Yi cell size: 12.9 nm (λ/120).

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