This article is cited in 6 papers

Brief communications

A nonlinear boundary eigenvalues problem for TM-polarized electromagnetic waves in a nonlinear layer

D. V. Valovik, Yu. G. Smirnov

Penza State University

Abstract: We consider the propagation of TM-polarized electromagnetic waves in a nonlinear dielectric layer located between two linear media. The nonlinearity in the layer is described by the Kerr law. We reduce the problem to a nonlinear boundary eigenvalues problem for a system of ordinary differential equations. We obtain a dispersion relation and a first approximation for eigenvalues of the problem. We compare the results with those obtained for the case of a linear medium in the layer.

Keywords: dispersion relation, boundary value problem, Kerr nonlinearity.

UDC: 517.958

Received: 25.12.2007

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2008, 52:10, 60–63

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