THE SYNTHESIS PROBLEM OF MULTILAYER ANISOTROPIC COATING IN THE MICROWAVE RANGE 

Derevyanchuk Ekaterina Dmitrievna, Candidate of physical and mathematical sciences, research assistant, the research center of “Supercomputer modeling in electrodynamics”, Penza State University (40, Krasnaya street, Penza, Russia), E-mail: katyader11@yandex.ru
Frolova Ol'ga Vyacheslavovna, Student, Penza State University (40, Krasnaya street, Penza, Russia), E-mail: olga.fov@yandex.ru 

517.3 

10.21685/2072-3040-2019-3-5 

Background. The paper is devoted to the one of the urgent problem - the synthesis problem of anisotropic multilayer coating. The purpose of the study is to develop a numerical-analytical method for solving of the synthesis problem of anisotropic multilayer coatings.
Materials and methods. The problem of the synthesis of anisotropic multilayer coating is investigated: the problem is reduced to solving an optimization problem.
Results. The developed algorithms for solving the problem can be used in the synthesis of multilayer anisotropic coatings.
Conclusions. The numerical methods of solving these inverse problems and numerical results can be used in practice to reconstruct electromagnetic characteristics of modern materials. 

electrodynamics problem, inverse problem, complex permittivity, isotropic, anisotropic material, tensor, permeability tensor, permittivity tensor 

1. Glasko V. B., Tikhonov A. N., Tikhonravov A. V. Zhurnal vychislitel'noy matematiki i matematicheskoy fiziki [Journal of calculus mathematics and mathematical physics]. 1974, vol. 14, no. 1, pp. 135–144. [In Russian]
2. Sveshnikov A. G., Tikhonravov A. V. Matematicheskoe modelirovanie [Math modeling]. 1989, vol. 1, no. 7, pp. 13–38. [In Russian]
3. Usanov D. A., Skripal A. V., Abramov A. V., Bogolyubov A. S. Tech. Phys. 2006, vol. 51 (5), pp. 644–649.
4. Tikhonravov A. V., Trubetskov M. K., Keller U., Matuschek N. Advances in Optical Interference Coatings. 1999, vol. 3738, pp. 221–229. (Proceedings of SPIE).
5. Martin N., Sailing H. IEEE Transactions On Microwave Theory Techniques. 1995, vol. 43, no. 6.
6. Shamonina E. Phys. Stat. Sol. b. 2008, vol. 245, pp. 1471–1482.
7. Derevyanchuk E. D., Shutkov A. S. and Smirnov Yu. G. Nonlinear and Inverse Problems in Electromagnetics (PIERS 2017). Springer Proceedings in Mathematics & Statistics book series, 2017, pp. 19–27. Available at: www.link.springer.com/chapter/10.1007%2F978-3-319-94060-1_2