Typical Method of Moments (MoM) solutions use traditional RWG basis functions to represent surface currents for electrically large scatterers. Oftentimes, this results in an unknown count that greatly exceeds computational resources either in memory or runtime. In these cases, various strategies may be used such as changing the mesh, applying fast solvers, or using hardware acceleration. Here, we present a Combined Field Integral Equation (CFIE) and Poggio-Miller-Chew-Harrington-Wu-Tsai (PMCHWT) based MoM formulation for composite body scatterers that utilizes a set of hierarchical basis functions as well as a fast direct solver to reduce the unknown count and decrease memory requirements while increasing solution speed.
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