The solution of the plane wave diffraction problem by two strips with different fractional boundary conditions

ABSTRACT

In this article, the plane wave diffraction by two strips is studied. Fractional boundary condition is required on strips when the fractional order for each strip is different. The goal of the paper is to investigate the resonant properties of such structures. The mathematical apparatus for the solution of the problem is given. The frequency dependency on the total radar cross-section is constructed for the different combinations of the fractional order. At the resonant frequencies, the near and the far-field distributions are presented.

KEYWORDS:

• Electromagnetic scattering
• double strips
• fractional boundary conditions
• fractional strip

Acknowledgment

The authors of this article would like to express the gratitude to Prof. Dr. Ertuğrul Karaçuha and Prof. Dr. Nader Engheta for their useful discussions and also would like to thank Feza Turgay Çelik and Gülfem Ceren Yavuz from Middle East Technical University and Politecnico di Milano for their kind help, respectively.

Disclosure statement

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

ORCID

Vasil Tabatadze http://orcid.org/0000-0003-4350-3196

Kamil Karaçuha http://orcid.org/0000-0002-0609-5085

Eldar I. Veliyev http://orcid.org/0000-0003-3923-2901

Additional information

Notes on contributors

Vasil Tabatadze

Vasil Tabatadze was born in Georgia, in 1982. He received his B.Sc., M.Sc., and Ph.D. from the physics department of Tbilisi State University (Tbilisi) in 2003, 2005, and 2009, respectively. His research interests are the computer simulations of the electromagnetic radiation and the scattering phenomena, direct and inverse Problems in electrodynamics, and computational electromagnetics. Previously, he was an academic staff of Samtskhe-Javaxethi State University and Tbilisi State University, all in Georgia. Currently, he is working as a visiting associate professor at Istanbul Technical University.

Kamil Karaçuha

Kamil Karaçuha was born in Istanbul, Turkey, in 1993. He got his B.Sc. and double major degrees from Electrical & Electronics and physics departments of the Middle East Technical University (Ankara) in 2017 and 2018, respectively. He is working on Electromagnetic Theory, Scattering and Diffraction Problems in Electromagnetics and Antenna design. Currently, he is a research assistant at Istanbul Technical University.

Eldar I. Veliyev

Eldar I. Veliyev was born in Baku, Azerbaijan, in 1951. He received his B.Sc. and M.Sc. degrees from the Physics department of Azerbaijan State University in 1973. He got his Ph.D. degree from the Institute of Radio-physics & Electronics, Academy of Sciences of Ukraine in 1976 and 1988, he received the Doctor of Science degree. His research interests are the diffraction theory, numerical-analytical methods in electromagnetic wave scattering, integral equations. Currently, he is working as a visiting professor at Istanbul Technical University and is the head of Ukraine -- Turkey science and technology cooperation center located in Kharkiv, Ukraine.