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(NtNs2). Here, Nt represents the number of time steps in the analysis, and Ns 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(NtNs log2 Ns). Numerical results that demonstrate the accuracy and the efficacy of the scheme are presented.
© 2002 Optical Society of America
(000.3860) General : Mathematical methods in physics
(000.3870) General : Mathematics
(000.4430) General : Numerical approximation and analysis
(350.6980) Other areas of optics : Transforms
(350.7420) Other areas of optics : Waves
Balasubramaniam Shanker, Arif A. Ergin, and Eric Michielssen, "Plane-wave-time-domain-enhanced marching-on-in-time scheme for analyzing scattering from homogeneous dielectric structures," J. Opt. Soc. Am. A 19, 716-726 (2002)