Sufficient Condition of the Existence of Solution for the Problem of Diffraction on Nonlinear Layered Structure

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 diffraction problem is reduced to a system of nonlinear operator equations of the second kind solved using iterations. Sufficient conditions of the integral equation (IE) unique solvability are obtained using the contraction principle.