On the problem of propagation of nonlinear coupled TE-TM waves in a layer |
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Authors: | D V Valovik Yu G Smirnov |
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Institution: | 1. Penza State University, ul. Krasnaya 40, Penza, 440026, Russia
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Abstract: | The problem of simultaneous propagation of two types of electromagnetic waves (TE and TM) in a plane dielectric waveguide filled with a nonlinear medium is considered. These polarized waves have different frequencies and different propagation constants. The physical problem is reduced to a nonlinear two-parameter transmission eigenvalue problem for Maxwell’s equations in a layer. The coupled eigenvalues are coupled propagation constants. A theorem on the existence and localization of coupled eigenvalues corresponding to coupled polarized electromagnetic waves is proved. |
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