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Applied Optics

Applied Optics


  • Vol. 43, Iss. 21 — Jul. 20, 2004
  • pp: 4244–4249

Three-dimensional analysis of a hybrid photonic crystal-conventional waveguide 90° bend

Jingbo Cai, Gregory P. Nordin, Seunghyun Kim, and Jianhua Jiang  »View Author Affiliations

Applied Optics, Vol. 43, Issue 21, pp. 4244-4249 (2004)

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We present a three-dimensional (3D) analysis of a hybrid photonic crystal-conventional waveguide 90° bend proposed previously [Opt. Express 10, 1334 (2002)] as an ultracompact component for large-scale planar lightwave circuit integration. Both rigorous 3D finite-difference time-domain modeling and a simple perfect mirror model analysis were carried out for different Si post heights in the photonic crystal region. Results show that the bend efficiency increases rapidly with Si post height. For a post height of 6.5 μm, this structure yields a bend efficiency of 97.3% at a wavelength of 1.55 μm for 90° bends in 2 μm × 2 μm square channel conventional waveguides with a refractive index contrast of 3.55%, which is very close to the bend efficiency of 98.2% for the corresponding two-dimensional problem. Our 3D analysis permits the examination of issues such as out-of-plane scattering loss and the effects of finite Si post height that are not considered in two dimensions.

© 2004 Optical Society of America

OCIS Codes
(130.0130) Integrated optics : Integrated optics
(130.1750) Integrated optics : Components
(130.2790) Integrated optics : Guided waves
(130.3120) Integrated optics : Integrated optics devices
(250.5300) Optoelectronics : Photonic integrated circuits

Original Manuscript: September 2, 2003
Revised Manuscript: March 17, 2004
Published: July 20, 2004

Jingbo Cai, Gregory P. Nordin, Seunghyun Kim, and Jianhua Jiang, "Three-dimensional analysis of a hybrid photonic crystal-conventional waveguide 90° bend," Appl. Opt. 43, 4244-4249 (2004)

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  1. H. Benisty, D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Beraud, C. Jouanin, “Radiation losses of waveguide-based two-dimensional photonic crystals: positive role of the substrate,” Appl. Phys. Lett. 76, 532–534 (2000). [CrossRef]
  2. W. Bogaerts, P. Bienstman, D. Taillaert, R. Baets, D. D. Zutter, “Out-of-plane scattering in photonic crystal slabs,” IEEE Photon. Technol. Lett. 13, 565–567 (2001). [CrossRef]
  3. P. Lalanne, H. Benistry, “Out-of-plane losses of two-dimensional photonic crystals waveguides: electromagnetic analysis,” J. Appl. Phys. 89, 1512–1514 (2001). [CrossRef]
  4. A. Chutinan, S. Noda, “Waveguides and waveguide bends in two-dimensional photonic crystal slabs,” Phys. Rev. B 62, 4488–4492 (2000). [CrossRef]
  5. P. Lalanne, “Electromagnetic analysis of photonic crystal waveguides operating above the light cone,” IEEE J. Quantum Electron. 38, 800–804 (2002). [CrossRef]
  6. M. Tokushima, H. Yamada, “Light propagation in a photonic-crystal-slab line-defect waveguide,” IEEE J. Quantum Electron. 38, 753–759 (2002). [CrossRef]
  7. A. Adibi, Y. Xu, R. K. Lee, A. Yariv, A. Scherer, “Properties of the slab modes in photonic crystal optical waveguides,” J. Lightwave Technol. 18, 1554–1564 (2000). [CrossRef]
  8. M. Notomi, A. Shinya, K. Yamada, J. Takahashi, C. Takahashi, I. Yokohama, “Structural tuning of guiding modes of line-defect waveguides of silicon-on-insulator photonic crystal slabs,” IEEE J. Quantum Electron. 38, 736–742 (2002). [CrossRef]
  9. S. Olivier, H. Benisty, C. Weisbuch, C. J. M. Smith, T. F. Krauss, R. Houdre, U. Oesterle, “Improved 60° bend transmission of submicron-width waveguides defined in two-dimensional photonic crystals,” J. Lightwave Technol. 20, 1198–1203 (2002). [CrossRef]
  10. G. P. Nordin, S. Kim, J. Cai, J. Jiang, “Hybrid integration of conventional waveguide and photonic crystal structures,” Opt. Express 10, 1334–1341 (2002), http://www.opticsexpress.org . [CrossRef] [PubMed]
  11. M. Snir, S. Otto, S. Huss-Lederman, D. Walker, J. Dongarra, MPI—The Complete Reference (MIT Press, Cambridge, Mass., 2000).
  12. C. Guiffaut, K. Mahdjoubi, “A parallel FDTD algorithm using the MPI Library,” IEEE Antennas Propag. Mag. 43, 94–102 (2001). [CrossRef]
  13. A. Taflove, S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, Boston, Mass., 2000).
  14. K. Okamoto, Fundamentals of Optical Waveguides (Academic, New York, 2000).
  15. http://oedcad.jlu.edu.cn .
  16. E. Marcatili, “Improved coupled-mode equations for dielectric guides,” IEEE J. Quantum Electron. QE-22, 988–993 (1986). [CrossRef]
  17. R. Syms, J. Cozens, Optical Guided Waves and Devices (McGraw-Hill, New York, 1992).

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