Spatial Localization of Nonlinear Waves in Layered and Modulated Media
I. V. Gerasimchuk, A. S. KÏvalev+
Institute for Theoretical Physics, National Scientific Center "Kharkov Institute of Physics and Technology",
61108 Kharkov, Ukraine
+B. Verkin Institute for Low Temperature Physics and Engineering, 61103 Kharkov, Ukraine
PACS: 05.45.Yv, 42.65.Tg, 42.82.Et
Abstract
We describe analytically the nonlinear dynamics of the stationary
waves propagating in an anharmonic medium along layered or modulated periodic
waveguide system. The exact dynamical equations for discrete systems of
coupled anharmonic oscillators, which are typically used for the description
of real experiments on the localization of powerful optical fluxes, are
analytically derived on the microscopic level and the conditions of their
applicability are obtained. The criterion of the appearance of a spatially
localized state in such systems is derived.