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ISSN 2415-3400 (Online)
ISSN 1028-821X (Print)

NUMERICAL ALGORITHMS FOR SOLVING THE PROBLEM OF ELECTROMAGNETIC WAVES DIFFRACTION ON A SLAB LAYER WITH KERR–LIKE NONLINEARITY

heading: 
MICROWAVE ELECTRODYNAMICS
Brovenko, AV, Melezhik, PN, A. Poyedinchuk, Y, Troshchylo, OS
Organization: 

O. Ya. Usikov Institute for Radiophysics and Electronics of the National Academy of Sciences of Ukraine
12, Proskura st., Kharkov, 61085, Ukraine
E-mail: melezhik@ire.kharkov.ua
https://doi.org/10.15407/rej2017.03.008
Language: Russian
Abstract: 

Development and design of the frequency multipliers and other devices based on nonlinear dielectrics require a study of their electrodynamic properties. For this purpose, the problems of the electromagnetic wave diffraction on various structures containing nonlinear dielectrics have to be solved. In this paper we consider the problem of diffraction of a plane linearly polarized electromagnetic wave on a nonlinear dielectric layer ,whose nonlinearity is described by the Kerr law. An effective algorithm for this problem solving is implemented on the basis of construction of the special solutions of the Cauchy problem for the nonlinear Riccati equation. The numerical results for the considered nonlinear structure are presented. The ranges of amplitude and frequency of incident electromagnetic wave in which hysteresis appears in the reflection and transmission coefficients dependencies are determined. It is shown that selecting certain magnitudes of the incident wave amplitude enables wave reflectionless tunneling through a nonlinear dielectric. The results of the numerical experiment obtained in the work, besides their use for the development and design of electrodynamic devices containing nonlinear dielectrics, can also be used as "reference" ones in the study of diffraction processes in nonlinear dielectric structures, where the nonlinearity is characterized by laws different from the Kerr law, as well as for nonlinear dielectric structures of more complex geometry.
Keywords: diffraction, Kerr-like nonlinearity, reflection and transmission coefficients

Manuscript submitted 18.07.2017
PACS 42.25.Fx, 42.25.Bs, 42.25.Gy
Radiofiz. elektron. 2017, 22(3): 8-13
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