An adaptive time-domain integral equation method for transient analysis of wire scatterer

An adaptive, implicit, multiresolution time-domain (MRTD) algorithm is applied to solve the integro-differential equation arising from the canonical straight thin wire scattering problem. The Haar wavelet system is adopted for the expansion of the induced current along the wire responding to a Gaussian pulsed plane wave electrical field. The results from our marching-on-in-time (MOT) method are compared with those from time-domain moment method where pulse basis functions are utilized. The wavelet system provides an adaptive solution to the transient problem, reducing computational cost, both in time and storage, with a controllable level of accuracy.