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Application of the method of continued boundary conditions to the solution of the problems of wave diffraction on various types of scatterers with complex structure
- Authors: Krysanov D.V.1
-
Affiliations:
- Moscow Technical University of Communications and Informatics
- Issue: Vol 30, No 3 (2022)
- Pages: 231-243
- Section: Articles
- URL: https://journals.rudn.ru/miph/article/view/32204
- DOI: https://doi.org/10.22363/2658-4670-2022-30-3-231-243
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Abstract
The article considers the application of the method of continued boundary conditions to the two-dimensional problem of diffraction of electromagnetic waves by a dielectric body with a cross section of complex geometry and to the problem of diffraction by a Janus sphere in the form of a permeable sphere partially covered by an absolutely soft or an absolutely rigid spherical screen. The results of calculating the scattering pattern for a large set of bodies of different geometry, including fractal-like scatterers, are obtained. It is illustrated that in the case of a smooth body boundary, the algorithm based on the Fredholm equations of the 1st kind makes it possible to obtain results with greater accuracy than for equations of the 2nd kind. The correctness of the method was confirmed by verifying the implementation of the optical theorem for various bodies and by comparing with the results of calculations obtained by other methods.
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1. Introduction In the modern theory of diffraction, there is a growing need for the effective solution of increasingly complex problems, the construction of adequate mathematical models for a wide range of phenomena and processes. This, in turn, requires the development of increasingly universal methods for solving diffraction problems. In this paper, the method of continued boundary conditions (MCBC) [1] is considered. In MCBC, the surface on which the observation point is chosen, denoted byAbout the authors
Dmitry V. Krysanov
Moscow Technical University of Communications and Informatics
Author for correspondence.
Email: d.v.krysanov@mtuci.ru
ORCID iD: 0000-0001-5100-3007
postgraduate student of Department of Probability Theory and Applied Mathematics
8a, Aviamotornaya St., Moscow, 111024, Russian FederationReferences
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