The Solution of the Problem of Scattering by a Semitransparent Half-Plane Using the Malyuzhinets Method

Kirill Klionovski; S. E. Bankov

doi:10.1134/S1064226921040069

The Solution of the Problem of Scattering by a Semitransparent Half-Plane Using the Malyuzhinets Method

Kirill Klionovski, S. E. Bankov

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Abstract: The rigorous solution of the problem of scattering of a plane electromagnetic wave by the semitransparent half-plane is presented. The solution is obtained using the method of the Sommerfeld—Malyuzhinets integral for two polarizations of the incident field. The analytical representation of the cylindrical wave scattered by the edge of the semitransparent half-plane is obtained with the use of the rigorous solution mentioned above. The accuracy of this analytical representation is tested by the comparison of numerical results obtained using the Wiener—Hopf method.

Original language	English (US)
Pages (from-to)	391-396
Number of pages	6
Journal	Journal of Communications Technology and Electronics
Volume	66
Issue number	4
DOIs	https://doi.org/10.1134/S1064226921040069 https://doi.org/10.31857/s0033849421040069
State	Published - Apr 30 2021

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title = "The Solution of the Problem of Scattering by a Semitransparent Half-Plane Using the Malyuzhinets Method",

abstract = "Abstract: The rigorous solution of the problem of scattering of a plane electromagnetic wave by the semitransparent half-plane is presented. The solution is obtained using the method of the Sommerfeld—Malyuzhinets integral for two polarizations of the incident field. The analytical representation of the cylindrical wave scattered by the edge of the semitransparent half-plane is obtained with the use of the rigorous solution mentioned above. The accuracy of this analytical representation is tested by the comparison of numerical results obtained using the Wiener—Hopf method.",

author = "Kirill Klionovski and Bankov, {S. E.}",

note = "KAUST Repository Item: Exported on 2021-11-21 Acknowledgements: Translated from the Russian text at https://doi.org/10.31857/s0033849421040069 by I. Efimova.",

year = "2021",

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language = "English (US)",

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T1 - The Solution of the Problem of Scattering by a Semitransparent Half-Plane Using the Malyuzhinets Method

AU - Klionovski, Kirill

AU - Bankov, S. E.

N1 - KAUST Repository Item: Exported on 2021-11-21 Acknowledgements: Translated from the Russian text at https://doi.org/10.31857/s0033849421040069 by I. Efimova.

PY - 2021/4/30

Y1 - 2021/4/30

N2 - Abstract: The rigorous solution of the problem of scattering of a plane electromagnetic wave by the semitransparent half-plane is presented. The solution is obtained using the method of the Sommerfeld—Malyuzhinets integral for two polarizations of the incident field. The analytical representation of the cylindrical wave scattered by the edge of the semitransparent half-plane is obtained with the use of the rigorous solution mentioned above. The accuracy of this analytical representation is tested by the comparison of numerical results obtained using the Wiener—Hopf method.

AB - Abstract: The rigorous solution of the problem of scattering of a plane electromagnetic wave by the semitransparent half-plane is presented. The solution is obtained using the method of the Sommerfeld—Malyuzhinets integral for two polarizations of the incident field. The analytical representation of the cylindrical wave scattered by the edge of the semitransparent half-plane is obtained with the use of the rigorous solution mentioned above. The accuracy of this analytical representation is tested by the comparison of numerical results obtained using the Wiener—Hopf method.

UR - http://hdl.handle.net/10754/669304

UR - https://link.springer.com/10.1134/S1064226921040069

UR - http://www.scopus.com/inward/record.url?scp=85105380429&partnerID=8YFLogxK

U2 - 10.1134/S1064226921040069

DO - 10.1134/S1064226921040069

M3 - Article

SN - 1555-6557

VL - 66

SP - 391

EP - 396

JO - Journal of Communications Technology and Electronics

JF - Journal of Communications Technology and Electronics

IS - 4

ER -

The Solution of the Problem of Scattering by a Semitransparent Half-Plane Using the Malyuzhinets Method

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