On a Nonlinear Spectral Problem for a Dielectric Waveguide with Kerr Nonlinearity
- Autores: Delitsyn A.L.1,2,3, Delitsyn L.L.4,5
-
Afiliações:
- 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
- Lomonosov Moscow State University
- Moscow State Institute of Culture
- Edição: Volume 59, Nº 5 (2019)
- Páginas: 718-730
- Seção: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/180555
- DOI: https://doi.org/10.1134/S0965542519050063
- ID: 180555
Citar
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.
Palavras-chave
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
Arquivos suplementares
