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.

中文翻译：

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带周期性制动的无限石墨烯条形光栅平面波散射的奇异积分方程

在本文中，获得了无限石墨烯条形光栅对H偏振波散射问题的解决方案。除了两个相邻的条带外，该结构是周期性的。这两个条带之间的距离是任意的。特别是，这样的问题允许量化阵列中石墨烯条带的相互作用。总场表示为理想周期性光栅上的电流场和由条带移动引起的校正电流的叠加。该分析基于奇异积分方程的收敛方法。它使我们能够在 10 GHz 到 6 THz 的宽范围内研究校正电流的影响。结果表明，石墨烯条带之间的相互作用在等离子体共振附近和瑞利异常附近很强。