Analysis of electromagnetic scattering using UV method enhanced marching-on-in-order time-domain integral equations

In this paper, the UV method is utilized to reduce both the memory requirement and computational complexity in time-domain combined field integral equation (TD-CFIE) method to analyze scattering from arbitrarily shaped conducting structures. The UV method takes advantage of the rank-deficiency feature and it is kernel-independent. Different orders of weighted Laguerre polynomials are used as temporal basis functions and the unknown expansion coefficients of the time variable are solved recursively order by order, as the so-called matching-on-in-order procedure. RWG basis function is used as the spatial basis function for its flexibility in modeling arbitrary geometries. The spatial and temporal testing procedures are separate, and both of them are carried on with the Galerkin's method. Numerical results are given to verify the proposed method.