Volume 17, Issue 3, September 2010, Pages 311 - 335
Diffraction of Electromagnetic Waves by a Layer Filled with a Kerr-Type Nonlinear Medium
Authors
Yury Shestopalov
Karlstad University, Karlstad, Sweden,youri.shestopalov@kau.se
Vasyl Yatsyk
Usikov Institute of Radiophysics and Electronics, National Academy of Sciences of Ukraine, Kharkov, Ukraine,yatsyk@vk.kharkov.ua
Received 27 May 2009, Accepted 16 December 2009, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925110000921How to use a DOI?
- Keywords
- Resonance scattering; Kerr-type nonlinear layer; cubic polarizability; volume singular integral equation; generation of waves
- Abstract
The diffraction of a plane wave by a transversely inhomogeneous isotropic nonmagnetic linearly polarized dielectric layer filled with a Kerr-type nonlinear medium is considered. The analytical and numerical solution techniques are developed. The diffraction problem is reduced to a singular boundary value problem for a semilinear second-order ordinary differential equation with a cubic nonlinearity and then to a cubic-nonlinear integral equation (IE) of the second kind and to a system of nonlinear operator equations of the second kind solved using iterations. Sufficient conditions of the unique solvability are obtained using the contraction principle.
- Copyright
- © 2010 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Yury Shestopalov AU - Vasyl Yatsyk PY - 2021 DA - 2021/01/07 TI - Diffraction of Electromagnetic Waves by a Layer Filled with a Kerr-Type Nonlinear Medium JO - Journal of Nonlinear Mathematical Physics SP - 311 EP - 335 VL - 17 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925110000921 DO - 10.1142/S1402925110000921 ID - Shestopalov2021 ER -