Abstract

A novel and fast integral-equation-based scheme is presented for analyzing transient electromagnetic scattering from homogeneous, isotropic, and nondispersive bodies. The computational complexity of classical marching-on-in-time (MOT) methods for solving time-domain integral equations governing electromagnetic scattering phenomena involving homogeneous penetrable bodies scales as $O(N_t{N}_s^2).$ Here, $N_t$ represents the number of time steps in the analysis, and $N_s$ denotes the number of spatial degrees of freedom of the discretized electric and magnetic currents on the body’s surface. In contrast, the computational complexity of the proposed plane-wave–time-domain-enhanced MOT solver scales as $O(N_t{N}_s {log}^2 N_s).$ Numerical results that demonstrate the accuracy and the efficacy of the scheme are presented.

© 2002 Optical Society of America

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