Efficient surface integral equation methods for the analysis of complex metamaterial structures

Two approaches, the multilevel fast multipole algorithm with sparse approximate inverse preconditioner and the surface equivalence principle algorithm, are applied to analyze complex three-dimensional metamaterial structures. The efficiency and performance of these methods are studied and discussed

Domain decomposition methods combining surface equivalence principle and macro basis functions

The basics of two domain decomposition methods based on the surface equivalence principle and the method of moments, namely, the surface tangential equivalence principle (TEPA) and the linear embedding via Green’s operators (LEGO), are outlined to solve electromagnetic scattering problems. In order to efficiently solve large problems, the methods are combined with the characteristic basis function method and the eigencurrent expansion method. Numerical examples demonstrate that the developed hybrid techniques lead to a significant reduction on the number of degrees of freedom and the size of the matrix equation to be solved