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

TL;DR

This paper presents a spectral-domain method of moments for analyzing anisotropic, spatially dispersive graphene patches in layered media, incorporating a novel numerical approach for efficient computation and revealing dispersion effects on resonance.

Contribution

It introduces a new spectral-domain method of moments formulation with a Chebyshev polynomial-based numerical technique for efficient analysis of complex graphene structures.

Findings

Blue-shift of resonant frequency observed due to spatial dispersion

Current distribution varies significantly with spatial dispersion

Efficient computation achieved through Chebyshev polynomial approximation

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.