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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 19, Iss. 9 — Sep. 1, 2002
  • pp: 2282–2291

Coupled-mode equations for Kerr media with periodically modulated linear and nonlinear coefficients

Joseph W. Haus, Boon Y. Soon, Michael Scalora, Cocita Sibilia, and Igor V. Mel'nikov  »View Author Affiliations


JOSA B, Vol. 19, Issue 9, pp. 2282-2291 (2002)
http://dx.doi.org/10.1364/JOSAB.19.002282


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Abstract

We apply the multiple-scales formalism to derive a complete set of equations for a finite medium with periodic linear and nonlinear Kerr optical coefficients. The equations for a single-frequency field reveal three new, nonlinear terms that are related to the difference in the Kerr nonlinearity in two-component media. The nonlinear evolution of coupled forward and backward fields in a multilayered film is numerically simulated by a spectral method. We examine the linear stability of the steady-state solution for an infinite medium and extend previous discussions of modulational instabilities to the new set of equations. We find that the inhomogeneous coefficient can selectively suppress modulational instability in the longitudinal or transverse direction.

© 2002 Optical Society of America

OCIS Codes
(190.3100) Nonlinear optics : Instabilities and chaos
(190.4400) Nonlinear optics : Nonlinear optics, materials
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in

Citation
Joseph W. Haus, Boon Y. Soon, Michael Scalora, Cocita Sibilia, and Igor V. Mel'nikov, "Coupled-mode equations for Kerr media with periodically modulated linear and nonlinear coefficients," J. Opt. Soc. Am. B 19, 2282-2291 (2002)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-19-9-2282

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