Scattering Analysis of Periodic Composite Metallic and Dielectric Structures with Synthetic Basis Functions

Synthetic basis functions method (SBFM) is used in this paper to analyze scattering properties of periodic arrays composed of composite metallic and dielectric structures based on EFIE-PMCHW equation. Compared to traditional method of moment (MoM) based on volume integral equations (VIE) or surface integral equations (SIE), SBFM uses fewer synthetic basis functions to approximate scattering properties of a target which decreases the number of unknowns as well as memory cost significantly. Auxiliary sources are introduced to imitate the mutual coupling effects between different blocks. By solving targets' responses to these auxiliary sources, scattering solution space will be determined. Then, singular value decomposition (SVD) is adopted to extract synthetic basis functions' coefficients matrix from scattering solution space. For periodic structures, synthetic basis functions of each block are exactly the same which means previously computed coefficients matrix can be recycled; therefore, SBFM is of great advantages in analyzing large scale periodic mixed problems.