Problem of Coupled Electromagnetic TE-TE Wave Propagation in a Layer Filled with Nonlinear Medium with Saturation


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Abstract

Propagation of coupled electromagnetic TE-TE wave in a nonlinear plane layer is considered. The layer is located between two half-spaces with constant permittivities. The permittivity in the layer is described by nonlinearity with saturation. The physical problem is reduced to a nonlinear two-parameter eigenvalue problem for a system of (nonlinear) ordinary differential equations. Existence and uniqueness of solution to the two-parameter eigenvalue problem is proved. Iteration method for solving given problem is presented. Convergence theorem of the iteration method is proved.

About the authors

V. Yu. Kurseeva

Penza State University

Author for correspondence.
Email: 79273698109@ya.ru
Russian Federation, Penza, 440026

Yu. G. Smirnov

Penza State University

Author for correspondence.
Email: smirnovyug@mail.ru
Russian Federation, Penza, 440026

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