On a Nonlinear Spectral Problem for a Dielectric Waveguide with Kerr Nonlinearity


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Resumo

The frequency dependence of the propagation constants of plane layered dielectric waveguides with the Kerr nonlinearity is considered. An explanation to the possible difference of their behavior from the linear case, related exclusively to a fixed value of an eigenfunction at the boundary of the layer, is given. Explicit formulas for calculating the dispersion curves are obtained. Their behavior for different ways of defining the eigenfunction of the nonlinear problem is analyzed.

Sobre autores

A. Delitsyn

Institute for Information Transmission Problems, Russian Academy of Sciences; National Research University Higher School of Economics; Main Scientific Research Test Center of Robotics, Ministry of Defense of the Russian Federation

Autor responsável pela correspondência
Email: delitsyn@mail.ru
Rússia, Moscow, 127051; Moscow, 125319; Moscow, 119001

L. Delitsyn

Lomonosov Moscow State University; Moscow State Institute of Culture

Autor responsável pela correspondência
Email: delitsin@gmail.com
Rússia, Moscow, 125009; Khimki, Moscow oblast, 125319

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