This article is cited in 48 papers

Propagation of TM waves in a Kerr nonlinear layer

D. V. Valovik, Yu. G. Smirnov

Penza State University, ul. Krasnaya 40, Penza, 440026, Russia

Abstract: TM electromagnetic waves propagating through a nonlinear homogeneous isotropic unmagnetized dielectric layer located between two homogeneous isotropic half-spaces are studied. The nonlinearity in the layer obeys the Kerr law. The problem is reduced to a system of nonlinear ordinary differential equations. A dispersion relation for the propagation constants is derived. The results are compared with those in the case of a linear layer.

Key words: boundary value problems for Maxwell's equations, TM waves, nonlinear media, dispersion relation.

UDC: 519.634

Received: 14.01.2008

 English version: Computational Mathematics and Mathematical Physics, 2008, 48:12, 2217–2225

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