Multi-resolution analysis of thin wire scatterer by time-domain integral equation method

An adaptive, implicit, multi-resolution time-domain method is applied to solve the integro-differential equations arising from the canonical thin wire scattering problems. The Haar wavelet system is adopted for the basis functions to decompose the induced current along the wire due to an input electric field. Both algorithms are discussed for straight thin wire and arbitrary thin wire problems. Results from our implicit marching-on-time algorithm using Haar wavelet basis functions are compared with those from pulse basis functions.