Numerical simulation of the diffraction problem on a Kerr-type nonlinear layer

Abstract

The diffraction of a plane wave of small intensity by a transversely inhomogeneous isotropic nonmagnetic linearly polarized dielectric layer filled with a Kerr-type nonlinear medium is considered. The diffraction problem is reduced to a boundary value problem for a semi linear second-order ordinary differential equation with a cubic nonlinearity on the excitation frequency of the nonlinear structure. Within the framework of weak solutions, existence and uniqueness are proved. A numerical solution technique by the finite element method is proposed and investigated.

Cite this paper

@article{Angermann2008NumericalSO, title={Numerical simulation of the diffraction problem on a Kerr-type nonlinear layer}, author={Lutz Angermann and V. V. Yatsyk}, journal={2008 13th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory}, year={2008}, pages={138-142} }