Efficient Modeling of Multiscale Structures Using Higher-Order Method of Moments

Abstract

Higher-order polynomials as basis functions can be adapted to deal with extremely nonuniform meshes, which range from approximately ${\hbox{10}^{ - 6}}\boldsymbol{\lambda }$ to $\hbox{2}\boldsymbol{\lambda }$ in electrical size. Thus, they are quite suitable and very flexible for modeling multiscale structures. The development of higher-order basis functions (HOBs) is not new, but its application to complex composite structures is the contribution of the paper. The mesh density and the number of unknowns are reduced when compared with the piecewise Rao–Wilton–Glisson basis functions (RWGs). The lower/upper (LU) decomposition is used to solve the matrix equation to ensure the solution accuracy of the method of moments. Numerical examples involving multiscale metallic and dielectric structures are presented to demonstrate the features of the HOBs in comparison with the RWGs.