Fast and Accurate Computation of Exact Nonreflecting Boundary Condition for Maxwell's Equations

TL;DR

This paper introduces a fast, accurate algorithm for computing the exact spherical nonreflecting boundary condition in Maxwell's equations, enhancing electromagnetic scattering simulations.

Contribution

A novel formulation of the NRBC enabling efficient inverse Laplace transform computation for Maxwell's equations.

Findings

Algorithm achieves high accuracy in numerical tests

Method integrates seamlessly with interior solvers

Significantly reduces computational time for boundary conditions

Abstract

We report in this paper a fast and accurate algorithm for computing the exact spherical nonreflecting boundary condition (NRBC) for time-dependent Maxwell's equations. It is essentially based on a new formulation of the NRBC, which allows for the use of an analytic method for computing the involved inverse Laplace transform. This tool can be generically integrated with the interior solvers for challenging simulations of electromagnetic scattering problems. We provide some numerical examples to show that the algorithm leads to very accurate results.