Electromagnetic wave scattering by half-plane and disk placed in the same plane or circular hole in half-plane

Калиберда, М. Е.; Lytvynenko, Leonid M.; Pogarsky, S. A.

doi:10.1080/09205071.2022.2032379

Cited by 4 publications

(2 citation statements)

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“…In [26], we consider half-plane and disk placed on the same plane. In this paper, we consider plane wave scattering by PEC half-plane and disk in more general case, when they are placed on parallel planes.…”

Section: Introductionmentioning

confidence: 99%

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Scattering by PEC half-plane and disk placed on parallel planes

Калиберда

Lytvynenko

Pogarsky

2022

Int. J. Microw. Wireless Technol.

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The scattering by the perfectly electric conducting (PEC) half-plane and PEC zero thickness disk placed on parallel planes is considered. The fields are represented in the spectral domain, i.e. in the domain of Fourier transform. The operator equations with respect to the Fourier amplitudes of the scattered field are obtained. The kernel functions of these equations contain poles. After regularization procedure, which is connected with the elimination of the poles, operator equations are converted to the system of singular integral equations. The convergence of the solution is based on the corresponding theorems. The scattered field consists of the plane wave, reflected by the infinite part of the half-plane, cylindrical waves, which appear as a result of scattering by the edge of the half-plane, and spherical waves, which appear as a result of scattering by the disk and multiple re-scattering by the disk-half-plane. The total near-field distribution and far-field patterns of cylindrical waves are presented.

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Section: Introductionmentioning

confidence: 99%

“…From a mathematical point of view, this means that we need additional equations to describe the fields in this domain. From a methodological point of view, since the number of equations is increased as compared to [26], we need to introduce new operators which will allow us to write final equations in a concise form.…”

Section: Introductionmentioning

confidence: 99%