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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 20 — Sep. 27, 2010
  • pp: 21427–21448

FDTD modeling of anisotropic nonlinear optical phenomena in silicon waveguides

Chethiya M. Dissanayake, Malin Premaratne, Ivan D. Rukhlenko, and Govind P. Agrawal  »View Author Affiliations

Optics Express, Vol. 18, Issue 20, pp. 21427-21448 (2010)

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A deep insight into the inherent anisotropic optical properties of silicon is required to improve the performance of silicon-waveguide-based photonic devices. It may also lead to novel device concepts and substantially extend the capabilities of silicon photonics in the future. In this paper, for the first time to the best of our knowledge, we present a three-dimensional finite-difference time-domain (FDTD) method for modeling optical phenomena in silicon waveguides, which takes into account fully the anisotropy of the third-order electronic and Raman susceptibilities. We show that, under certain realistic conditions that prevent generation of the longitudinal optical field inside the waveguide, this model is considerably simplified and can be represented by a computationally efficient algorithm, suitable for numerical analysis of complex polarization effects. To demonstrate the versatility of our model, we study polarization dependence for several nonlinear effects, including self-phase modulation, cross-phase modulation, and stimulated Raman scattering. Our FDTD model provides a basis for a full-blown numerical simulator that is restricted neither by the single-mode assumption nor by the slowly varying envelope approximation.

© 2010 Optical Society of America

OCIS Codes
(040.6040) Detectors : Silicon
(160.1190) Materials : Anisotropic optical materials
(230.4320) Optical devices : Nonlinear optical devices
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(250.4390) Optoelectronics : Nonlinear optics, integrated optics

ToC Category:
Optical Devices

Original Manuscript: August 12, 2010
Revised Manuscript: September 22, 2010
Manuscript Accepted: September 22, 2010
Published: September 23, 2010

Chethiya M. Dissanayake, Malin Premaratne, Ivan D. Rukhlenko, and Govind P. Agrawal, "FDTD modeling of anisotropic nonlinear optical phenomena in silicon waveguides," Opt. Express 18, 21427-21448 (2010)

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