Publications Details

Stable discretization of time-domain solvers

Roth, Thomas E.; Chew, Weng C.

Applications at the intersection of quantum and EM physics are becoming more prevalent in the engineering community. Interestingly, many of these applications require solving purely classical EM problems to characterize the most important dynamics of the system. As a result, computational electromagnetics (CEM) can play a vital role in this new area. However, the classical problems that typically need to be solved are the broadband analysis of near-field scattering problems in complicated regions with multiscale and/or subwavelength features. Recently, potential-based time domain integral equations (TDIEs) have been investigated to solve these traditionally challenging CEM problems [1], [2]. However, for these methods to be applicable, they must be robustly stable when analyzing complicated geometries over broad bandwidths.