Resonance scattering of electromagnetic waves by a Kerr nonlinear dielectric layer

Abstract

Diffraction of a plane electromagnetic wave by a dielectric layer is considered in the resonance region without allowance for multiple frequencies. The layer is assumed to be transversely inhomogeneous, isotropic, nonmagnetic, linearly polarized, and weakly Kerr nonlinear. A method based on solution of a nonlinear Fredholm integral equation of the second kind is developed. Sufficient conditions for the existence and uniqueness of a solution are obtained.