Article 11417

Title of the article

THE INVERSE PROBLEM OF RECOVERING ELECTROMAGNETIC PARAMETERS OF A THIN ANISOTROPIC DIAPHRAGM
IN A RECTANGULAR WAVEGUIDEDE 

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
Loginov Maksim Aleksandrovich, Student, Penza State University (40 Krasnaya street, Penza, Russia), mak.log2013@yandex.ru
Frolova Ol'ga Vyacheslavovna, Student, Penza State University (40 Krasnaya street, Penza Russia), olga.fov@yandex.ru

Index UDK

517.3

DOI

10.21685/2072-3040-2017-4-11

Abstract

Background. The paper is devoted to the inverse problem of recovering electromagnetic parameters. This is an actual problem of modern electrodynamics. The aim of the study is to develop a numerical-analytical method to solve the inverse problem for a thin anisotropic one-sectional diaphragm.
Materials and methods. We consider the inverse problem of recovering the permittivity tensor for a thin anisotropic diaphragm. The problem is reduced to boundary value problem for the Maxwell’s equation system.
Results. We have obtained approximate formulas of the solution to the inverse problem.
Conclusions. The solution to the inverse problem can be used for tensor permittivity recovery in a thin anisotropic slab.

Key words

inverse problem, anisotropic material, waveguide method, permittivity tensor

Download PDF
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. Inverse Problems and Large- Scale Computations, Series. – Springer Proceedings in Mathematics & Statistics. 2013, vol. 52, XII, pp.169–181.
3. Smirnov Yu. G., Shestopalov Yu.V., Derevyanchuk E. D. PIERS Proceedings (Taipei, 25–28 March). Taipei, 2013, pp. 135–139.
4. Vaynshteyn L. A. Elektromagnitnye volny [Electromagnetic waves]. Moscow: Radio i svyaz', 1988.

 

Дата создания: 06.02.2018 11:00
Дата обновления: 23.04.2018 09:35