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Scattering of H-polarized plane wave by inhomogeneous dielectric cylinder of arbitrary cross section. 1. Method of analysis

Keywords:

E.S. Nekrasova – Student, Moscow Institute of Physics and Technology (State University)
E-mail: liza050896kb@gmail.com
O.N. Smolnikova – Ph.D.(Eng.), Associate Professor, Moscow Aviation Institute (National Research University); Head of Department, PJSC «Radiofizika» (Moscow)
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


A 2D problem of H-polarized plane electromagnetic wave scattering by a dielectric cylinder consisting of a homogeneous core of circular cross-section and an inhomogeneous cover of arbitrary cross section is considered. A modification of the hybrid projection method is developed for its solution on the basis of projection matching of the fields on the boundaries of circular cylindrical regions introduced in the consideration, projection of the Helmholtz equation for inhomogeneous region on the Fourier harmonics, and application of the one-dimensional method of finite elements in projection form to the derived ordinary differential equations for reduction of the latter to an algebraic system with block-banded matrix. The approach described above is also generalized for the case when the core is a perfectly conducting cylinder.

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