Electromagnetic interaction of two semi-infinite coplanar gratings of flat PEC strips with arbitrary gap between them

ABSTRACT

The problem of interaction between two coplanar semi-infinite gratings is considered. The total current on the flat perfectly electric conducting strips is represented as current on the isolated semi-infinite gratings and correction current. The current on every isolated semi-infinite grating is represented, in turn, as current on the infinite periodic grating and correction current. The characteristics of the scattered field are obtained from the singular integral equations. The results are validated through comparison with results obtained for the infinite periodic grating without a single strip. The current density on the strips, near- and far-field patterns is represented.

KEYWORDS:

• Singular integral equation
• infinite grating
• semi-infinite grating
• current density

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Mstislav E. Kaliberda http://orcid.org/0000-0002-8169-4360

Sergey A. Pogarsky http://orcid.org/0000-0003-0833-1421

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-in-chief of the journal “Radio Physics and Radio Astronomy”.

Sergey A. Pogarsky

Sergey A. Pogarsky 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.