Accurate solution of time domain integral equations using higher order vector bases and bandlimited extrapolation

Time domain integral equations (TDIE) based solvers have been gaining a lot of attention in the past few years for the solution of electromagnetic problems. The widespread acceptance of TDIE based solvers was historically hindered by the instability and inefficiency of their original implementations. As a consequence of this, the art of TDIE based solvers is not as refined as that for more conventional methods. While higher-order spatial discretizations have been used in the past, few claims of higher order temporal convergence can be found in the literature. This paper presents a stable and accurate scheme to solve TDIEs using higher order vector bases, coupled with bandlimited temporal basis functions and bandlimited extrapolation. It will be demonstrated that the proposed scheme demonstrates enhanced convergence in space and time.