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THE ANALYTICAL-NUMERICAL METHOD OF SOLVING THE PROBLEMS OF ELECTROMAGNETIC WAVES DIFFRACTION BY CIRCULAR RADIALLY INHOMOGENEOUS MAGNETODIELECTRIC CYLINDERS

heading: 
MICROWAVE ELECTRODYNAMICS
Brovenko, AV, Melezhik, PN, Panin, SB, A. Poyedinchuk, Y
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/rej2016.04.020
Language: Russian
Abstract: 

We suggest an analytical-numerical method for determining the diffraction characteristics of the plane linearly polarized electromagnetic wave scattered by a circular inhomogeneous isotropic magnetodielectric cylinder, which material parameters depend on the radial coordinate. The method is based on the construction of special solutions to Cauchy problem for Riccati equation and allows within a unified approach to investigate the processes of wave diffraction by both radially layered and continuous magnetodielectric cylindrical inhomogeneities. The efficiency of the proposed method was demonstrated by several examples of numerical solution of diffraction problems for circular non-uniform isotropic dielectric cylinders. We studied the total cross section of Luneberg lens for a number of focal parameters and the behavior of its field longitudinal component at resonant frequency when geometrical parameters vary. 
Keywords: analytical-numerical method, circular isotropic heterogeneous magnetodielectric cylinder, Luneberg lens, Riccati equation, total cross section, wave diffraction

Manuscript submitted 03.11.2016
PACS     02.90.+p; 02.60.Cb
Radiofiz. elektron. 2016, 21(4): 20-29
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