TD-EFIE Method-of-Moments Solution Using the Numerical Inversion of the Laplace Transform With Time-Stepping Re-Initialization

This article presents a new approach to solving the time-domain electric field integral equation (TD-EFIE). The proposed method develops the notion of problem-independent numerical inversion of the Laplace transform (NILT), which is known in circuit simulation, into a complete time-stepping procedure suitable for the solution of the TD-EFIE. The key advantages of NILT, in terms of the high-order temporal representation and numerical stability, are maintained in the proposed method. More importantly, NILT does not require recursive convolution due to its being entirely based on the method-of-moment (MoM) solution of the Laplace-domain form of the EFIE. Several examples are presented to validate the accuracy of the proposed method.