A CONJUGATING PROBLEM FOR ELECTROMAGNETIC TE-WAVES DISTRIBUTED
IN A FLAT TWO-LAYER NON-LINEAR DIELECTRICAL WAVEGUIDE

Valovik Dmitry Victorovich, Candidate of physical and mathematical sciences, associate professor, sub-department of mathematics and supercomputer modeling, Penza State University, dvalovik@mail.ru

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The article considers electromagnetic TE-wave propagation in a two-layered dielectric waveguide. Permittivities inside the layers are described by Kerr law. The layers are located between two semi-infinite spaces with constant permittivities. The authore derives a dispersion equation for eigenvalues (propagation constants) of the problem.

conjugation problem for ordinary differential equations in multiply-connected domain, Kerr nonlinearity, dispersion equation.