Abstract
Transient electromagnetic scattering by dielectric objects is formulated through time-domain electric field integral equations (TDFEIEs) which are usually solved by combining the method of moments (MoM) in space domain and march-on-in-time (MoT) scheme in time domain. The space-domain MoM requires two basis functions to represent the electric and magnetic current densities, respectively, and the n RWG basis function may not be a good choice. Also, the MoT scheme has a well-known late-time instability problem which will aggravate in the surface integral equations of dielectric media. We present a different approach to solve the TDEFIEs by incorporating the Nystrom method in space domain and a Galerkin method with Laguerre basis and testing functions in time domain. The approach can fully overcome the problems of the conventional method as demonstrated by a numerical example.
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