A novel solution to marching-on-in-order time-domain integral equations using order-independent temporal basis functions

In this paper, a novel solution to marching-on-in-order (MOO) time-domain integral equations (TDIE) are introduced using order-independent temporal (OIT) basis functions to analyze transient electromagnetic scattering from perfect electrically conducting (PEC) structures. The OIT basis function is based on the Laguerre polynomials and generated via a singular value decomposition (SVD). It can considerably reduce the matrix size and also the memory requirement. The RWG basis function is used as the spatial basis function for its flexibility in modeling arbitrary geometries. The temporal and spatial 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.