DIFFRACTION OF ELECTROMAGNETIC WAVES BY A LAYER FILLED WITH A KERR-TYPE NONLINEAR MEDIUM

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.

Keywords:

• Resonance scattering
• Kerr-type nonlinear layer
• cubic polarizability
• volume singular integral equation
• generation of waves