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

Abstract

The scattering by a half-plane and circular disk placed in the same plane is considered. The scattering by a circular hole in the half-plane is also considered as a dual problem. The operator equations for relative unknown Fourier amplitudes of the scattered field are presented. They use known reflection operators of the isolated half-plane and isolated disk. After the regularization procedure involving integration over the contour in the complex plane, operator equations are reduced to the singular integral equations. The discretization is discussed. The near and far field patterns are presented.

KEYWORDS:

• Scattering
• half-plane
• disk
• operator equations
• integral equations

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No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Mstislav E. Kaliberda

Mstislav E. Kaliberda received B.S. and M.S. degrees in Applied Mathematics from the V.N. Karazin Kharkiv National University, Kharkiv, Ukraine in 2005 and 2006, respectively, and the Ph.D. degree in 2013 from the same university. Now he is Associate Professor in the School of Radio Physics. His current research interests are the analytical and numerical techniques, integral equation, multi-element periodic structures, graphene gratings.

Leonid M. Lytvynenko

Leonid M. Lytvynenko graduated from the V.N. Karazin Kharkiv National University, Kharkiv, Ukraine and received the combined B.S. and M.S. degree in Radiophysics and Electronics in 1959 and the Ph.D degree in 1965. From 1966 to 1985 he was with the Institute of Radiophysics and Electronics of the National Academy of Sciences of Ukraine (IRE NASU) in Kharkiv, Ukraine. He is Professor in Radiophysics since 1977. In 1985, he founded the Institute of Radio Astronomy of NASU and served as its Director till 2017. His area of research is in the theory of waves scattering and propagation, antennas systems and engineering, microwave sources, and radio astronomy. He is vice-chairman of the Ukrainian National URSI Committee, member of the European Astronomy Society, and member of the International Astronomy Society. He is also the editor-inchief of the journal Radio Physics and Radio Astronomy.

Sergey A. Pogarsky

Sergey A. Poragsky received M.S. degree in Radiophysics and Electronics from the V.N. Karazin Kharkiv National University, Kharkiv, Ukraine in 1977, and the Ph.D. degree from the same university in 1984. Since 1977 he has been with the same university as reseacher, and since 1984 as senior researcher and part-time senior lecturer at the Department of Physics of Ultra High Frequencies. Since 1999, he is Professor, and part-time Principal Scientist. His research interests include CAD techniques for microwave and millimeter wave components, antenna systems, and microwave transmission lines and circuits.