Email this article On a Nonlinear Spectral Problem for a Dielectric Waveguide with Kerr Nonlinearity
- Authors: Delitsyn A.L.1,2,3, Delitsyn L.L.4,5
-
Affiliations:
- 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
- Issue: Vol 59, No 5 (2019)
- Pages: 718-730
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/180555
- DOI: https://doi.org/10.1134/S0965542519050063
- ID: 180555
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
A. L. 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
Author for correspondence.
Email: delitsyn@mail.ru
Russian Federation, Moscow, 127051; Moscow, 125319; Moscow, 119001
L. L. Delitsyn
Lomonosov Moscow State University; Moscow State Institute of Culture
Author for correspondence.
Email: delitsin@gmail.com
Russian Federation, Moscow, 125009; Khimki, Moscow oblast, 125319
Supplementary files
