On Time-Domain NRBC for Maxwell’s Equations and Its Application in Accurate Simulation of Electromagnetic Invisibility Cloaks

In this paper, we present analytic formulas of the temporal convolution kernel functions involved in time-domain non-reflecting boundary condition (NRBC) for electromagnetic scattering problems. Such exact themselves lead to accurate and efficient algorithms computing NRBC domain reduction Maxwell’s system $${\mathbb {R}}^3$$ . A second purpose paper is derive a new model invisibility cloak. Different from existing models, it contains only one unknown field seemingly complicated convolutions can be computed as efficiently NRBC. The governing equation cloaking layer valid general geometry, e.g., spherical or polygonal layer. Here, aim at simulating We take advantage radially stratified dispersive media special develop an vector harmonic-spectral-element method its simulation. Compared with limited results on FDTD simulation, proposed optimal both accuracy computational cost. Indeed, saving time significant.