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A NUMERICAL ANALYTICAL METHOD FOR SOLVING REVERSE PROBLEMS OF WAVE DIFFRACTION BY LAYERED INHOMOGENEOUS MEDIA

heading: 
MICROWAVE ELECTRODYNAMICS
Brovenko, AV, Vertiy, AA, Melezhik, NP, Melezhik, PN, 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

L. N. Gumilyov Eurasian National University
Astana, 2 Mirzoyan st., Astana, 010000, Republic of Kazakhstan

E-mail: melezhik@ire.rharkov.ua
https://doi.org/10.15407/rej2015.01.013
Language: Russian
Abstract: 

A numerical analytical method of the reverse problem solution is suggested for the relative permittivity profile of layered inhomogeneous media to be obtained from the frequency dependence of the reflection coefficient of a monochromatic plane electromagnetic wave. The idea of the method is to reduce the initial reverse problem to the optimal control problem of the Riccati equation. The solution scheme employs a numerical analytical method for the direct problem solution of monochromatic plane wave diffraction by layered inhomogeneous media and takes advantage of some algorithm developed for smoothing the gradient of the residual functional. With the algorithms elaborated for solving the direct and reverse problems of wave diffraction by layered structures, a series of numerical experiments has been performed, the efficiency of the suggested approach in not a direct determination of layered structure parameters is demonstrated.
Keywords: reflection coefficient, regularization technique, residual functional, reverse problem

Manuscript submitted 12.12.2014
PACS 02.30.Zz; 02.60.Cb; 42.25.Fx
Radiofiz. elektron. 2015, 20(1): 13-25
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