Simulation of infinite periodic graphene planar grating in the THz range by the method of singular integral equations

Abstract

Plane wave diffraction by the infinite periodic planar graphene grating and infinite grating above a perfectly conducting plane in the THz range is considered. The mathematical model is based on the graphene surface impedance and the method of singular integral equations. A comparison with finite grating is made. Reflectance, transmittance, and absorbance are studied as a function of graphene and grating parameters.

Excitation of guided waves of grounded dielectric slab by a THz plane wave scattered from finite number of embedded graphene strips: Singular integral equation analysis

“…As one can see, we have good agreement for all frequencies except the region near the grating-mode resonances. The same situation was observed when comparing results for the gratings in vacuum, when some discrepancy takes place near the Rayleigh anomalies [42]. If the number of strips is increased, the results for the finite grating approach to the results for the infinite grating.…”

Operator method in diffraction by semi-infinite graphene grating

“…Хотя метод и приводит к расходящемуся решению, он позволяет получить физически корректные результаты. Строгое решение аналогичной задачи в случае произвольного падения получено в [5] методом сингулярных интегральных уравнений. В [6] методом аналитической регуляризации решена задача для бесконечной периодической графеновой решетки в диэлектрической пластине.…”