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Nonlinear propagation of coupled electromagnetic waves in a circular cylindrical waveguide

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Abstract

The problem of the propagation of coupled surface electromagnetic waves in a two-layer cylindrical circular waveguide filled with an inhomogeneous nonlinear medium is considered. A nonlinear coupled TE-TM wave is characterized by two (independent) frequencies ωe and ωm and two propagation constants \({\widehat \gamma _e}\) and \({\widehat \gamma _m}\). The physical problem reduces to a nonlinear two-parameter eigenvalue problem for a system of nonlinear ordinary differential equations. The existence of eigenvalues (\({\widehat \gamma _e}\), \({\widehat \gamma _m}\)) in proven and intervals of their localization are determined.

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Authors and Affiliations

  1. Penza State University, Penza, 440026, Russia

    D. V. Valovik & E. Yu. Smol’kin

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  1. D. V. Valovik
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  2. E. Yu. Smol’kin
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Correspondence to D. V. Valovik.

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Original Russian Text © D.V. Valovik, E.Yu. Smol’kin, 2017, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2017, Vol. 57, No. 8, pp. 1304–1320.

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Valovik, D.V., Smol’kin, E.Y. Nonlinear propagation of coupled electromagnetic waves in a circular cylindrical waveguide. Comput. Math. and Math. Phys. 57, 1294–1309 (2017). https://doi.org/10.1134/S0965542517080127

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