Abstract

This paper proposes a logical method to design and optimize one-dimensional photonic crystal waveguides (PCWs). The logic is deduced from practical issues such as the fabrication of the waveguide structures and the subsequent optical coupling to other conventional waveguides. It is found that the individual layer thickness of an optimally designed PCW is exactly one quarter of the projection of the effective wavelength in the direction perpendicular to the layer plane. The paper also describes a handy way of finding the thickness of the central guiding layer of a symmetric waveguide. In order to demonstrate that the proposed logic and schemes are indeed functional, detailed numerical calculations are provided for a model PCW structure composed of a GaAs-AlAs-oxide system and an air-guiding layer.

© 2004 IEEE

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  1. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics", Phys. Rev. Lett., vol. 58, no. 20, pp. 2059-2062, May 1987.
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  3. S. Fan, P. R. Villeneuve and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides", Phys. Rev. Lett., vol. 77, no. 18, pp. 3787-3790, Oct. 1996.
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  5. S. Noda, A. Chutinan and M. Imada, "Trapping and emission of photons by a single defect in a photonic bandgap structure", Nature, vol. 407, pp. 608-610, Oct. 2000.
  6. E. Chow, S. Y. Lin, S. G. Johnson, P. R. Villeneuve, J. D. Joannopoulos, J. R. Wendt, G. A. Vawter, W. Zubrzycki, H. Hou and A. Alleman, "Three-dimensional control of light in a two-dimensional photonic crystal slab", Nature, vol. 407, pp. 983-986, Oct. 2000.
  7. S. G. Johnson, S. Fan, P. R. Villeneuve, L. Kolodziejski and J. D. Joannopoulos, "Composite photonic crystals", U.S. Patent 6 134 043, Oct. 2000.
  8. J. N. Winn, Y. Fink, S. Fan and J. D. Joannopoulos, "Omnidirectional reflection from a one-dimensional photonic crystal", Opt. Lett., vol. 23, no. 20, pp. 1573 -1575, Oct. 1998.
  9. Y. Park, Y.-G. Roh, C.-O. Cho, H. Jeon, M. G. Sung and J. C. Woo, "GaAs-based near-infrared omnidirectional reflector", Appl. Phys. Lett., vol. 82, pp. 2770-2772, Apr. 2003 .
  10. T. A. Taton and D. J. Norris, "Device physics: Defective promise in photonics", Nature, vol. 416, pp. 685-686, Apr. 2002.
  11. J.-S. I, Y. Park and H. Jeon, "One-dimensional photonic crystal waveguide: A frame for photonic integrated circuits", J. Korean Phys. Soc., vol. 39, no. 6, pp. 994-997, Dec. 2001.
  12. H. Taniyama, "Waveguide structures using one-dimensional photonic crystal", J. Appl. Phys., vol. 91, no. 6, pp. 3511-3515, Mar. 2002.
  13. P. Yeh, Optical Waves in Layered Media, New York: Wiley, 1988, pp. 118-125.
  14. P. St. J. Russell, S. Tredwell and P. J. Roberts, "Full photonic bandgaps and spontaneous emission control in 1D multilayer dielectric structures", Opt. Commun. , vol. 160, no. 1, pp. 66-71, Feb. 1999.
  15. C. Yeh, Ed. "Handbook of Fiber Optics", Academic, San Diego, CA, 1990 . pp. 14-16.

Other

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics", Phys. Rev. Lett., vol. 58, no. 20, pp. 2059-2062, May 1987.

S. John, "Strong localization of photons in certain disordered dielectric superlattices", Phys. Rev. Lett., vol. 58, no. 23, pp. 2486-2489, June 1987.

S. Fan, P. R. Villeneuve and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides", Phys. Rev. Lett., vol. 77, no. 18, pp. 3787-3790, Oct. 1996.

M. Loncar, D. Nedeljkovic, T. Doll, J. Vuckovic, A. Scherer and T. P. Pearsall, "Waveguiding in planar photonic crystals", Appl. Phys. Lett., vol. 77, no. 13, pp. 1937-1939, Sept. 2000.

S. Noda, A. Chutinan and M. Imada, "Trapping and emission of photons by a single defect in a photonic bandgap structure", Nature, vol. 407, pp. 608-610, Oct. 2000.

E. Chow, S. Y. Lin, S. G. Johnson, P. R. Villeneuve, J. D. Joannopoulos, J. R. Wendt, G. A. Vawter, W. Zubrzycki, H. Hou and A. Alleman, "Three-dimensional control of light in a two-dimensional photonic crystal slab", Nature, vol. 407, pp. 983-986, Oct. 2000.

S. G. Johnson, S. Fan, P. R. Villeneuve, L. Kolodziejski and J. D. Joannopoulos, "Composite photonic crystals", U.S. Patent 6 134 043, Oct. 2000.

J. N. Winn, Y. Fink, S. Fan and J. D. Joannopoulos, "Omnidirectional reflection from a one-dimensional photonic crystal", Opt. Lett., vol. 23, no. 20, pp. 1573 -1575, Oct. 1998.

Y. Park, Y.-G. Roh, C.-O. Cho, H. Jeon, M. G. Sung and J. C. Woo, "GaAs-based near-infrared omnidirectional reflector", Appl. Phys. Lett., vol. 82, pp. 2770-2772, Apr. 2003 .

T. A. Taton and D. J. Norris, "Device physics: Defective promise in photonics", Nature, vol. 416, pp. 685-686, Apr. 2002.

J.-S. I, Y. Park and H. Jeon, "One-dimensional photonic crystal waveguide: A frame for photonic integrated circuits", J. Korean Phys. Soc., vol. 39, no. 6, pp. 994-997, Dec. 2001.

H. Taniyama, "Waveguide structures using one-dimensional photonic crystal", J. Appl. Phys., vol. 91, no. 6, pp. 3511-3515, Mar. 2002.

P. Yeh, Optical Waves in Layered Media, New York: Wiley, 1988, pp. 118-125.

P. St. J. Russell, S. Tredwell and P. J. Roberts, "Full photonic bandgaps and spontaneous emission control in 1D multilayer dielectric structures", Opt. Commun. , vol. 160, no. 1, pp. 66-71, Feb. 1999.

C. Yeh, Ed. "Handbook of Fiber Optics", Academic, San Diego, CA, 1990 . pp. 14-16.

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