Title :
Sufficient Condition of the Existence of Solution for the Problem of Diffraction on Nonlinear Layered Structure
Author :
Yatsyk, Vasyl V.
Author_Institution :
Nat. Acad. of Sci. of Ukraine, Kharkov
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 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.
Keywords :
dielectric bodies; electromagnetic wave diffraction; integral equations; nonlinear media; Kerr-type nonlinear medium; contraction principle; integral equation; isotropic nonmagnetic dielectric layer; linearly polarized dielectric layer; nonlinear layered structure; plane wave diffraction; sufficient condition; transversely inhomogeneous dielectric layer; Dielectrics; Electromagnetic diffraction; Electromagnetic scattering; Electromagnetic wave polarization; Frequency; Integral equations; Light scattering; Network address translation; Nonlinear equations; Sufficient conditions;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2007 XIIth International Seminar/Workshop on
Conference_Location :
Lviv
Print_ISBN :
978-966-02-4237-1
DOI :
10.1109/DIPED.2007.4373570
