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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 17 — Aug. 22, 2005
  • pp: 6587–6596

Perturbation analysis of plane-wave transmission through a dielectric slab with Kerr-type nonlinearity

Kiarash Zamani Aghaie and Mahmoud Shahabadi  »View Author Affiliations

Optics Express, Vol. 13, Issue 17, pp. 6587-6596 (2005)

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Multiple-scale analysis is employed for the analysis of plane-wave refraction at a nonlinear slab. It will be demonstrated that the perturbation method will lead to a nonuniformly valid approximation to the solution of the nonlinear wave equation. To construct a uniformly valid approximation, we will exploit multiple-scale analysis. Using this method, we will derive the zeroth-order approximation to the solution of the nonlinear wave equation analytically. This approximate solution clearly shows the effects of self-phase modulation (SPM) and cross-phase modulation (XPM) on plane-wave refraction at the nonlinear slab. As will be shown, the proposed method can be generalized to the rigorous study of nonlinear wave propagation in one-dimensional photonic band-gap structures.

© 2005 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(190.3270) Nonlinear optics : Kerr effect
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in

ToC Category:
Research Papers

Original Manuscript: May 19, 2005
Revised Manuscript: August 14, 2005
Published: August 22, 2005

Kiarash Zamani Aghaie and Mahmoud Shahabadi, "Perturbation analysis of plane-wave transmission through a dielectric slab with Kerr-type nonlinearity," Opt. Express 13, 6587-6596 (2005)

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