Title :
About of the condition existence and unique solution for the problem of diffraction on nonlinear medium
Author_Institution :
Usikov Inst. for Radiophys. & Electron., Nat. Acad. of Sci. of Ukraine, Kharkiv
Abstract :
The diffraction of a plane wave by a transversely inhomogeneous, isotropic, nonmagnetic, linearly polarized, weakly nonlinear dielectric layered structure 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 :
electromagnetic wave diffraction; integral equations; condition existence; contraction principle; integral equation unique; isotropic structure; linearly polarized structure; nonlinear dielectric layered structure; nonlinear medium; nonlinear operator equations; nonmagnetic structure; plane wave diffraction; transversely inhomogeneous structure; unique solution; Dielectrics; Electromagnetic diffraction; Electromagnetic scattering; Electromagnetic wave polarization; Frequency; Integral equations; Nonlinear equations; Phase modulation; Sufficient conditions; Ultra wideband technology; Kerr-like dielectric nonlinearity; cubic nonlinearity; nonlinearity; the phase itself modulation;
Conference_Titel :
Ultrawideband and Ultrashort Impulse Signals, 2008. UWBUSIS 2008. 4th International Conference on
Conference_Location :
Sevastopol
Print_ISBN :
978-1-4244-2738-3
DOI :
10.1109/UWBUS.2008.4669423
