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<sub>t</sub>N<sub>s</sub><sup>2</sup>). Here, N<sub>t</sub> represents the number of time steps in the analysis, and N<sub>s</sub> 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<sub>t</sub>N<sub>s</sub> log<sup>2</sup> N<sub>s</sub>). 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)