Application of the Method of Extended Boundary Conditions to the Solution of the Problem of Wave Diffraction by Magnetod
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TRODYNAMICS AND WAVE PROPAGATION
Application of the Method of Extended Boundary Conditions to the Solution of the Problem of Wave Diffraction by Magnetodielectric Scatterers Having a Compound Geometry D. V. Krysanova, *, A. G. Kyurkchana, b, c, and S. A. Manenkova aMoscow bKotelnikov
Technical University of Communications and Informatics, Moscow, 111024 Russia Institute of Radio Engineering and Electronics (Fryazino Branch), Russian Academy of Sciences, Fryazino, Moscow oblast, 141190 Russia cCentral Research Communication Institute, Moscow, 111141 Russia *e-mail: [email protected] Received October 31, 2019; revised October 31, 2019; accepted November 27, 2019
Abstract—A technique allowing to model scattering characteristics for bodies of arbitrary geometries is suggested on the basis of the method of extended boundary conditions. The scattering characteristics include those ones, which are averaged over orientation angles. The 2D problem of diffraction of a plane wave by dielectric bodies having a complicated geometry of the cut and, in particular, by bodies similar to fractals is considered. The numerical algorithms of the diffraction problem solution on the basis of the systems of integral equations of the first and second kinds are compared. The correctness of the method is confirmed with the help of the verification of the optical theorem fulfillment for various bodies and by comparing with the calculation results obtained by the modified method of discrete sources. DOI: 10.1134/S1064226920080148
INTRODUCTION The problem of wave diffraction by a dielectric body of a complicated geometry is rather actual and it remains to be comparatively little investigated, because its solution is rather complex. The results of modeling the characteristics of wave scattering by dielectric bodies are of important interest, for example, in such fields as the optics of inhomogeneous media, laser defectoscopy, projecting of absorbing coatings, and others [1—3]. At present, a number of analytical and numerical methods are developed for solving these problems. The T-matrix method [4] and the discrete source method [5] are the most widespread of them. In spite of that, the requirements of modeling diffraction processes increase rather quickly. Therefore, the problem of developing more universal methods of solution of diffraction problems still remains actual. The wide popularity of the T-matrix method is explained in many respects by the fact that this method can be used to fulfill comparatively easily such an important, for example, in astrophysics, procedure as averaging the characteristics of scattering of a body over its orientation angles measured with respect to the incident plane wave. However, the traditional (classic) variant of the T-matrix method [4], as some of its recently developed modified variants [5, 6], can be applied to the solution of problems of diffraction by scatterers having an analytical boundary.
The generalization of the T-matrix method based on the extended boundary condition method (EBCM) for solving
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