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Features of electromagnetic scattering by radially inhomogeneous cylinders with positive and negative refraction index

Keywords:

A.R. Gabdullina – Student, Moscow Institute of Physics and Technology (State University)
E-mail: alien08_93@mail.ru
O.N. Smolnikova – Ph. D. (Eng.), Head of Department, PJSC «Radiofizika» (Moscow); Associate Professor, Moscow Aviation Institute (National Research University)
E-mail: smon2012@mail.ru
S.P. Skobelev – Dr. Sc. (Phys.-Math.), Leading Research Scientist, PJSC «Radiofizika» (Moscow); Associate Professor, Moscow Institute of Physics and Technology (State University)
E-mail: s.p.skobelev@mail.ru


The problem of electromagnetic wave scattering by radially inhomogeneous circular cylinder is considered. Two modifications of the hybrid projection method corresponding to the cases of E- and H polarization are developed for its solution. The approach is based on projection matching of the fields on the boundaries of cylindrical regions, projection of the Helmholtz equations on the Fourier harmonics, and application of the one-dimensional method of finite elements in projection form to the derived ordinary differential equations for reducing the latter to algebraic systems with three-diagonal matrices. Some advantages of the proposed approach over other numerical methods are indicated and appropriate numerical results demonstrating the effectiveness of the method are presented. The scattering characteristics for the cylinders with various permittivity profiles including a cylindrical Eaton-Lippman lens, Luneberg lenses with positive and negative refraction index, and generalized Maxwell lenses with positive and negative refraction index are also presented and discussed.

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