Spectral-Domain Method of Moments Analysis of Spatially Dispersive Graphene Patch Embedded in Planarly Layered Media

Abstract

Anisotropic and spatially dispersive graphene patches of arbitrary shape embedded in planarly layered uniaxial media are analyzed using spectral-domain method of moments. Formulation and computational methods for the spectral-domain method of moments using the Rao-Wilton-Glisson subdomain basis function and incorporating the full-wavevector Bhatnagar-Gross-Krook formulation of graphene surface conductivity tensor are proposed. The impedance matrix is efficiently evaluated by a novel numerical method which firstly approximates the spectral-domain Green function, basis function and conductivity tensor with Chebyshev polynomials, and then sums up the Fourier transformed coefficients. Blue-shift of the resonant frequency and variation of the current distribution due to spatial dispersion are observed in various structures demonstrated.