Analyzing Large-Scale Non-Periodic Arrays With Synthetic Basis Functions

Abstract

A numerical method using synthetic basis functions (SBF) is introduced to analyze the scattering problem of the large-scale non-periodic arrays. With the employment of the auxiliary sources, the scattering solution space of a specific scatterer can be determined, and its scattering characteristics will be effectively extracted from the solution space in the form of SBF, which is a high order basis function. The scattering field of an array can be calculated by using the scattering characteristics of every array unit. The number of the unknowns of the SBF linear system is reduced significantly compared with the conventional method of moments (MoM), leading to higher efficiency and lower cost of computation. The SBF approach is universal regardless of the geometrical differences. There are also specific mechanisms to control the precision and efficiency. The SBF method costs less computational time than the characteristic basis function (CBF) method. Moreover, by utilizing the SBF approach together with the generalized transition matrix (GTM) and the generalized surface integral equations (GSIE), the scattering analysis of dielectric bodies and chiral bodies and their arrays will be much more efficient with decreased unknowns and scale-reduced linear system. To deal with large-scale and complex scattering problems, the SBF method will be of great help to improve the performance.