Article 6218

Title of the article

RECONSTRUCTION OF ELECTROMAGNETIC CHARACTERISTICS OF A MULTISECTIONAL ANISOTROPIC
DIAPHRAGM IN A RECTANGULAR WAVEGUIDE

Authors

Derevyanchuk Ekaterina Dmitrievna, Candidate of physical and mathematical sciences, researcher, the research center “Supercomputer modeling in electrodynamics”, Penza State University (40 Krasnaya street, Penza, Russia), katyader11@yandex.ru
Rodionova Irina Anatol'evna, Candidate of physical and mathematical sciences, sub-department of mathematics and supercomputer modeling, Penza State University (40 Krasnaya street, Penza, Russia), RodionovaIrena@yandex.ru

Index UDK

517.3

DOI

10.21685/2072-3040-2018-2-6

Abstract

Background. The appearance of new artificial materials, such as composites, has raised a problem of electromagnetic parameters reconstruction for such materials. This is an actual problem of modern electrodynamics. The aim of the study is to develop a numerical-analytical method for solving the inverse problem for a thin anisotropic multi-sectional diaphragm.
Materials and methods. We consider the inverse problem of a permittivity tensor for a thin multisectional anisotropic diaphragm. The problem is reduced to a boundary value problem for Maxwell’s equations.
Results. We obtain numerical-analytical approximate formulas of the solution to the inverse problem. Numerical-analytical method is developed for the problem under investigation. Numerical results are presented for the case of three-sectional diaphragm.
Conclusions. The solution of the inverse problem can be used for tensor permittivity reconstruction for a thin anisotropic multisectional slab.

Key words

inverse problem, anisotropic material, waveguide method, permittivity tensor, multisectional diaphragm, slab

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References

1. Derevyanchuk E. D. Izvestiya vysshikh uchebnykh zavedeniy. Povolzhskiy region. Fiziko-matematicheskie nauki [University proceedings. Volga region. Physical and mathematical sciences]. 2013, no. 1 (25), pp. 34–44.
2. Smirnov Yu. G., Shestopalov Yu. V., Derevyanchuk E. D. Proceedings 128 of Progress in Electromagnetic Research Symposium (PIERS 2013, Stockholm, Sweden, August 12–15). 2013, pp. 290–295.
3. Derevyanchuk E. D., Smirnov Yu. G. Proceedings of the International Conference “Days on Diffraction – 2014”. Saint-Petersburg, Russia, 2015, pp. 65–68.
4. Shestopalov Yu. V., Smirnov Yu. G., Derevyanchuk E. D. Proceedings of Progress in Electromagnetic Research Symposium (PIERS 2014, Guangzhou, China, 25–28, 2014). Guangzhou, 2014, pp. 2610–2613.
5. Vaynshteyn L. A. Elektromagnitnye volny [Electromagnetic waves]. Moscow: Radio i svyaz', 1988.

 

Дата создания: 03.10.2018 14:28
Дата обновления: 16.10.2018 08:29