A VSIE Solution for EM Scattering Using the Multilevel Complex Source Beam Method

Multilevel complex source beam (CSB) method is introduced to accelerate the volume-surface integral equation (VSEE) for the analysis of electromagnetic scattering from the composite structures comprising conductor and dielectric material. The field generated by each basis function or testing function is expressed by use of the equivalent point source defined over the complex sphere. The far interactions between basis functions and testing functions are replaced by the interactions between complex point sources, which can be calculated efficiently by taking advantage of the directionality of the complex point sources. The translation invariance property of Green's function is exploited to further improve efficiency. In numerical examples, the number of CSBs and truncation angle are given for each level, and the computational efficiency of the proposed method is validated by comparison with the conventional VSLE method.