A marching-on-in-time solution of time-domain combined field integral equation with a higher order Nystrom scheme

A higher order Nyström scheme for a marching-on-intime (MOT) solution of the time-domain combined field integral equation (TD-CFIE) is developed to analyze the transient electromagnetic (EM) scattering from arbitrarily shaped perfect electrically conducting (PEC) closed objects. The curvilinear triangular patches are utilized to discretize the PEC objects. Moreover, the Lagrange interpolation polynomials and triangle functions are used to stand for the spatial and temporal basis functions, respectively. Furthermore, the spatial and temporal pointmatching are applied. Numerical examples are shown to validate that the proposed scheme is stable and accurate.