A hierarchical regularization of the time domain electric field integral equation

A hierarchical approach to discretize the time domain electric field integral equation (TD-EFIE) is presented. The resulting solver is immune to time domain low-frequency breakdown and gives rise to better conditioned linear systems than TD-EFIE solvers using Rao-Wilton-Glisson (RWG) [1] and loop-star basis functions [2]. The proposed technique extends the work in [3] on hierarchical TD-EFIE regularizers for diadically refined meshes to arbitrary meshes and topologies. Numerical results demonstrating the technique’s efficacy in accelerating the iterative solution of TD-EFIE are presented.