A Multitrace Surface Integral Equation Solver to Simulate Graphene-Based Devices

Abstract

A multitrace surface integral equation (MT-SIE) solver 1 is proposed to analyze electromagnetic field interactions on composite 2 devices involving magnetized and nonmagnetized graphene sheets. The 3 computation domain is decomposed into two subdomains: an exterior 4 subdomain that represents the unbounded background medium where 5 the device resides in an interior subdomain that represents the dielectric 6 substrate. Resistive Robin transmission conditions (RRTCs) are formu-7 lated to describe the infinitesimally thin graphene sheet that partially 8 covers the surface between the two subdomains. On the rest of this 9 surface, traditional Robin transmission conditions (RTCs) are enforced. 10 The electric and magnetic field equations are used as the governing 11 equations in each subdomain. The governing equations of a subdomain 12 are locally coupled to the governing equations of its neighbor using 13 RRTCs and RTCs. The accuracy and the applicability of the proposed 14 MT-SIE solver are demonstrated by various numerical examples.