Multibasis method for SIE solution

This paper outlines a highly efficient expansion function decomposition and solution for broadband surface integral equation based simulation. In this work, solenoidal and non-solenoidal bases are mapped to current-charge (CQ) sub-bases formed from the well known Rao-Wilton-Glissen (RWG) expansions. These CQ bases are then simultaneously transformed from multiple higher-level expansions resulting in what would generally be an overdetermined system of equations. To solve this overdetermined system, a modified matrix-vector product is introduced. Unlike related methods, such as tree-basis rearrangement (TBR) or Multiresolution (MR), accelerated convergence is shown to arise without need for a broad range of spatial sampling. To the author´s knowledge this represents a new approach to such problems.