Comparative analysis of exact and approximate solutions of the plane electromagnetic wave scattering from a discrete parabolic reflector made of parallel circular PEC wires

Abstract

Numerical analysis of the scattering of a plane monochromatic electromagnetic wave from a discrete parabolic reflector made of parallel cylinders (wires) with perfect electric conductivity is carried out in the exact and approximate formulations, the latter neglecting all interactions between the wires. Both the TE and the TM polarizations of the incident field are considered. It is shown that the difference between the exact and approximate solutions strongly depends on the frequency of the incident wave and that the TM-polarized plane wave is focused better by the discrete reflector than the TE-polarized wave. The field in the vicinity of the geometrical focus is investigated. It is found that the focusing ability, oscillating, gradually decreases with frequency. This behavior is in stark contrast to a solid perfectly electrically conducting parabolic reflector.

KEYWORDS:

• Circular cylinder scattering
• parabolic antenna

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

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Notes on contributors

Elena A. Velichko

Elena A. Velichko was born in 1980 in Kharkiv, Ukraine. She received M.S. degree in physics, with honors, from the V.N. Karazin Kharkiv National University in 2002. Since 2002, she has been with the Institute of Radio-Physics and Electronics NASU, where she is currently Senior Scientist at the Department of Quantum Electronics and Nonlinear Optics. Her research interests are in electromagnetic wave scattering from dielectric, metallic and graphene structures, plasmon resonances on noble-metal and graphene micro and nanowires, and non-reflecting coatings. In 2012, she was awarded the Best Presentation Award of the Young Scientist Conference on Radio-Physics and Electronics (YSC-2012), Kharkiv, Ukraine. She was also recipient of competitive travel grants of the IEEE Region 8 (2013), IEEE MTT Society (2014) and European Microwave Association (2019) for attending the international conferences ICTON-2013 in Cartagena, NEMO-2014 in Pavia and EuMCE-2019 in Prague, respectively.