An Explicit MOT Scheme for solving the Nyström-Discretized TD-MFIE

Abstract

A fully explicit marching-on-in-time scheme for solving the time domain magnetic field integral equation is proposed. The unknown current density induced on the surface of the scatterer is expanded using a higher-order Nyström method in space and Lagrange interpolation in time. The resulting system is cast in the form of an ordinary differential equation and integrated in time using a predictor-corrector scheme to obtain the unknown expansion coefficients. Numerical results demonstrate that the proposed explicit scheme can use the same time step size as its implicit counterpart without sacrificing stability and is five times faster under low-frequency excitation (i.e., for large time step).