Novel Temporal Basis Functions for Time Domain Integral Equation Method

In the paper, a novel scheme is presented to construct the temporal basis functions for time domain electric field integral equation (TD-EFIE). An optimal algorithm is developed to find the optimum temporal basis functions, which are used to stabilize the marching-on-in-time (MOT) process. The proposed temporal basis functions possess the advantage of poor high-frequency content in spectral and any-order continuous derivative in shape. Therefore, they can provide much more stable explicit MOT solution. Numerical examples are presented to demonstrate the efficacy of the proposed temporal basis functions