Abstract

We consider the scattering and absorption of the E-polarized plane wave by infinite grating of flat graphene strips lying on flat dielectric substrate. To build a meshless full-wave algorithm, we apply the analytical regularization, based on the use of Discrete Inverse Fourier Transform. Then, the scattering problem is cast to a Fredholm 2nd-kind matrix equation for the unknown Floquet harmonic amplitudes. Therefore, the convergence of the resulting code is guaranteed. Numerical experiments show that such a configuration is a frequency-selective metasurface. If the grating period and substrate thickness are micrometer-sized, the resonance frequencies of such a periodic cavity are in the terahertz range. They correspond to low-Q natural modes of the substrate, and ultrahigh-Q lattice modes of the whole grating.

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