Abstract

The omnidirectional reflection bands of several typical 2-D photonic crystals are presented. Numerical results show that there are omnidirectional reflection bands in photonic crystals without bandgaps. Furthermore, photonic crystal waveguides based on omnidirectional reflection bands can be constructed by using photonic crystals without bandgaps. Like conventional photonic crystal waveguides based on bandgaps, the novel waveguides can also achieve high-efficient transmission through waveguide bends with near-zero radii of curvature. This waveguide is expected to be applied to highly dense photonic integrated circuits after further research. The aforementioned results are helpful to widen the research field of photonic crystal waveguides.

© 2011 IEEE

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  1. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
  2. S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
  3. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).
  4. J. D. Joannopoulos, S. G. Johnson, J. N. Winn, R. D. Meade, Photonic Crystals-Molding the Flow of Light (Princeton Univ. Press, 2008).
  5. J. M. Gérard, A. Izrael, J. Y. Marzin, R. Padjen, F. R. Ladan, "Photonic bandgap of two-dimensional dielectric crystals," Solid-State Electron. 37, 1341-1351 (1994).
  6. J. N. Winn, Y. Fink, S. Fan, J. D. Joannopoulos, "Omnidirectional reflection from a one-dimensional photonic crystal," Opt. Lett. 23, 1573-1575 (1998).
  7. Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, "A dielectric omnidirectional reflector," Science 282, 1679-1682 (1998).
  8. Y. Fink, D. J. Ripin, S. Fan, C. Chen, J. D. Joannopoulos, E. L. Thomas, "Guiding optical light in air using an all-dielectric structure," J. Lightw. Technol. 17, 2039-2042 (1999).
  9. S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, Y. Fink, "External reflection from omnidirectional dielectric mirror fibers," Science 296, 510-513 (2002).
  10. B. Chen, T. Tang, Z. Wang, H. Chen, Z. Liu, "Flexible optical waveguides based on the omnidirectional reflection of one-dimensional photonic crystals," Appl. Phys. Lett. 93, 181107-1-181107-3 (2008).
  11. B. Chen, T. Tang, H. Chen, "Study on a compact flexible photonic crystal waveguide and its bends," Opt. Exp. 17, 5033-5038 (2009).
  12. B. Chen, T. Tang, H. Chen, "Flexible photonic crystal waveguide branches with arbitrary branching angles," Opt. Lett. 34, 1952-1954 (2009).
  13. B. Chen, T. Tang, C. Liu, H. Chen, "Study on optical waveguides based on omnidirectional reflection of two-dimensional photonic crystals," J. Opt. Soc. Amer. B 27, 972-974 (2010).
  14. S. G. Johnson, J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Exp. 8, 173-190 (2001).
  15. S. G. Johnson, J. D. Joannopoulos, The MIT Photonic-Bands Package [Online]. Available: http://ab-initio.mit.edu/mpb.
  16. H. Benisty, "Modal analysis of optical guides with two-dimensional photonic bandgap boundaries," J. Appl. Phys. 79, 7483-7492 (1996).
  17. T. Søndergaard, A. Lavrinenko, "Large-bandwidth planar photonic crystal waveguides," Opt. Commun. 203, 263-270 (2002).
  18. Taflove, S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time Domain Method (Artech House, 2000).
  19. H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdré, U. Oesterle, "Models and measurements for the transmission of submicron-width waveguide bends defined in two-dimensional photonic crystals," IEEE J. Quantum Electron. 38, 770-785 (2002).
  20. S. Olivier, H. Benisty, M. Rattier, C. Weisbuch, M. Qiu, A. Karlsson, C. J. M. Smith, R. Houdré, U. Oesterle, "Resonant and nonresonant transmission through waveguide bends in a planar photonic crystal," Appl. Phys. Lett. 79, 2514-2516 (2001).
  21. S. Olivier, H. Benisty, C. Weisbuch, C. J. M. Smith, T. F. Krauss, R. Houdré, U. Oesterle, "Improved 60$^{\circ}$ bend transmission of submicron-width waveguides defined by two-dimensional photonic crystals," J. Lightw. Technol. 20, 1198-1203 (2002).

2010 (1)

B. Chen, T. Tang, C. Liu, H. Chen, "Study on optical waveguides based on omnidirectional reflection of two-dimensional photonic crystals," J. Opt. Soc. Amer. B 27, 972-974 (2010).

2009 (2)

B. Chen, T. Tang, H. Chen, "Study on a compact flexible photonic crystal waveguide and its bends," Opt. Exp. 17, 5033-5038 (2009).

B. Chen, T. Tang, H. Chen, "Flexible photonic crystal waveguide branches with arbitrary branching angles," Opt. Lett. 34, 1952-1954 (2009).

2008 (1)

B. Chen, T. Tang, Z. Wang, H. Chen, Z. Liu, "Flexible optical waveguides based on the omnidirectional reflection of one-dimensional photonic crystals," Appl. Phys. Lett. 93, 181107-1-181107-3 (2008).

2002 (4)

S. Olivier, H. Benisty, C. Weisbuch, C. J. M. Smith, T. F. Krauss, R. Houdré, U. Oesterle, "Improved 60$^{\circ}$ bend transmission of submicron-width waveguides defined by two-dimensional photonic crystals," J. Lightw. Technol. 20, 1198-1203 (2002).

T. Søndergaard, A. Lavrinenko, "Large-bandwidth planar photonic crystal waveguides," Opt. Commun. 203, 263-270 (2002).

H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdré, U. Oesterle, "Models and measurements for the transmission of submicron-width waveguide bends defined in two-dimensional photonic crystals," IEEE J. Quantum Electron. 38, 770-785 (2002).

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, Y. Fink, "External reflection from omnidirectional dielectric mirror fibers," Science 296, 510-513 (2002).

2001 (2)

S. Olivier, H. Benisty, M. Rattier, C. Weisbuch, M. Qiu, A. Karlsson, C. J. M. Smith, R. Houdré, U. Oesterle, "Resonant and nonresonant transmission through waveguide bends in a planar photonic crystal," Appl. Phys. Lett. 79, 2514-2516 (2001).

S. G. Johnson, J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Exp. 8, 173-190 (2001).

1999 (1)

Y. Fink, D. J. Ripin, S. Fan, C. Chen, J. D. Joannopoulos, E. L. Thomas, "Guiding optical light in air using an all-dielectric structure," J. Lightw. Technol. 17, 2039-2042 (1999).

1998 (2)

J. N. Winn, Y. Fink, S. Fan, J. D. Joannopoulos, "Omnidirectional reflection from a one-dimensional photonic crystal," Opt. Lett. 23, 1573-1575 (1998).

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, "A dielectric omnidirectional reflector," Science 282, 1679-1682 (1998).

1996 (2)

Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).

H. Benisty, "Modal analysis of optical guides with two-dimensional photonic bandgap boundaries," J. Appl. Phys. 79, 7483-7492 (1996).

1994 (1)

J. M. Gérard, A. Izrael, J. Y. Marzin, R. Padjen, F. R. Ladan, "Photonic bandgap of two-dimensional dielectric crystals," Solid-State Electron. 37, 1341-1351 (1994).

1987 (2)

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

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

Appl. Phys. Lett. (1)

S. Olivier, H. Benisty, M. Rattier, C. Weisbuch, M. Qiu, A. Karlsson, C. J. M. Smith, R. Houdré, U. Oesterle, "Resonant and nonresonant transmission through waveguide bends in a planar photonic crystal," Appl. Phys. Lett. 79, 2514-2516 (2001).

Appl. Phys. Lett. (1)

B. Chen, T. Tang, Z. Wang, H. Chen, Z. Liu, "Flexible optical waveguides based on the omnidirectional reflection of one-dimensional photonic crystals," Appl. Phys. Lett. 93, 181107-1-181107-3 (2008).

IEEE J. Quantum Electron. (1)

H. Benisty, S. Olivier, C. Weisbuch, M. Agio, M. Kafesaki, C. M. Soukoulis, M. Qiu, M. Swillo, A. Karlsson, B. Jaskorzynska, J. Moosburger, M. Kamp, A. Forchel, R. Ferrini, R. Houdré, U. Oesterle, "Models and measurements for the transmission of submicron-width waveguide bends defined in two-dimensional photonic crystals," IEEE J. Quantum Electron. 38, 770-785 (2002).

J. Appl. Phys. (1)

H. Benisty, "Modal analysis of optical guides with two-dimensional photonic bandgap boundaries," J. Appl. Phys. 79, 7483-7492 (1996).

J. Lightw. Technol. (2)

Y. Fink, D. J. Ripin, S. Fan, C. Chen, J. D. Joannopoulos, E. L. Thomas, "Guiding optical light in air using an all-dielectric structure," J. Lightw. Technol. 17, 2039-2042 (1999).

S. Olivier, H. Benisty, C. Weisbuch, C. J. M. Smith, T. F. Krauss, R. Houdré, U. Oesterle, "Improved 60$^{\circ}$ bend transmission of submicron-width waveguides defined by two-dimensional photonic crystals," J. Lightw. Technol. 20, 1198-1203 (2002).

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

B. Chen, T. Tang, C. Liu, H. Chen, "Study on optical waveguides based on omnidirectional reflection of two-dimensional photonic crystals," J. Opt. Soc. Amer. B 27, 972-974 (2010).

Opt. Exp. (1)

S. G. Johnson, J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Exp. 8, 173-190 (2001).

Opt. Commun. (1)

T. Søndergaard, A. Lavrinenko, "Large-bandwidth planar photonic crystal waveguides," Opt. Commun. 203, 263-270 (2002).

Opt. Exp. (1)

B. Chen, T. Tang, H. Chen, "Study on a compact flexible photonic crystal waveguide and its bends," Opt. Exp. 17, 5033-5038 (2009).

Opt. Lett. (2)

Phys. Rev. Lett. (2)

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

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

Phys. Rev. Lett. (1)

Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996).

Science (2)

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, E. L. Thomas, "A dielectric omnidirectional reflector," Science 282, 1679-1682 (1998).

S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, Y. Fink, "External reflection from omnidirectional dielectric mirror fibers," Science 296, 510-513 (2002).

Solid-State Electron. (1)

J. M. Gérard, A. Izrael, J. Y. Marzin, R. Padjen, F. R. Ladan, "Photonic bandgap of two-dimensional dielectric crystals," Solid-State Electron. 37, 1341-1351 (1994).

Other (3)

Taflove, S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time Domain Method (Artech House, 2000).

S. G. Johnson, J. D. Joannopoulos, The MIT Photonic-Bands Package [Online]. Available: http://ab-initio.mit.edu/mpb.

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, R. D. Meade, Photonic Crystals-Molding the Flow of Light (Princeton Univ. Press, 2008).

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