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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 11 — May. 30, 2005
  • pp: 3969–3976

Sharp bends in photonic crystal waveguides as nonlinear Fano resonators

Andrey E. Miroshnichenko and Yuri S. Kivshar  »View Author Affiliations

Optics Express, Vol. 13, Issue 11, pp. 3969-3976 (2005)

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We demonstrate that high transmission through sharp bends in photonic crystal waveguides can be described by a simple model of the Fano resonance where the waveguide bend plays a role of a specific localized defect. We derive effective discrete equations for two types of the waveguide bends in two-dimensional photonic crystals and obtain exact analytical solutions for the resonant transmission and reflection. This approach allows us to get a deeper insight into the physics of resonant transmission, and it is also useful for the study and design of power-dependent transmission through the waveguide bends with embedded nonlinear defects.

© 2005 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves
(190.3270) Nonlinear optics : Kerr effect
(230.7370) Optical devices : Waveguides

ToC Category:
Research Papers

Original Manuscript: March 7, 2005
Revised Manuscript: May 13, 2005
Published: May 30, 2005

Andrey Miroshnichenko and Yuri Kivshar, "Sharp bends in photonic crystal waveguides as nonlinear Fano resonators," Opt. Express 13, 3969-3976 (2005)

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