Singular integral equations in plane wave scattering by infinite graphene strip grating with brake of periodicity

Author:

Kaliberda Mstislav E.1ORCID,Lytvynenko Leonid M.2,Pogarsky Sergey A.1

Affiliation:

1. Department of Radiophysics, Biomedical Electronics and Computer Systems , V. Karazin Kharkiv National University , Kharkiv , Ukraine

2. Institute of Radio Astronomy of the National Academy of Sciences of Ukraine , Kharkiv , Ukraine

Abstract

Abstract In this paper, the solution of the H-polarized wave scattering problem by infinite graphene strip grating is obtained. The structure is periodic except two neighboring strips. The distance between these two strips is arbitrary. In particular, such a problem allows to quantify the mutual interaction of graphene strips in the array. The total field is represented as a superposition of the field of currents on the ideally-periodic grating and correction currents induced by the shift of the strips. The analysis is based on the convergent method of singular integral equations. It enables us to study the influence of the correction currents in a wide range from 10 GHz to 6 THz. It is shown that the interaction between graphene strips is strong near plasmon resonances and near the Rayleigh anomaly.

Publisher

Walter de Gruyter GmbH

Subject

Electrical and Electronic Engineering

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