A Higher Order Nyström Scheme for a Marching-on-in-Time Solution of Time-Domain Integral Equation

A marching-on-in-time (MOT) solution of the time-domain integral equation (TDIE) using the higher order Nyström scheme is developed to analyze the transient electromagnetic scattering from arbitrarily shaped perfect electrically conducting (PEC) objects. In this scheme, the curvilinear triangular patches are utilized to discretize the PEC objects for their great ability to model geometric configuration. Moreover, we use the Lagrange interpolation polynomials to stand for the spatial basis functions, and the triangle functions to represent the temporal basis functions. Furthermore, the spatial and temporal point-matching is applied. Numerical examples demonstrate that the proposed scheme is stable, accurate, and efficient.