Multilevel fast multipole algorithm for general targets on a half-space interface

Abstract

-The multi-level fast multipole algorithm (MLFMA) is considered for scattering from an electrically large conducting or dielectric target resting on the interface of a dielectric half space. We focus on analysis of the half-space Green's function such that it is computed efficiently and accurately, while retaining a form that is applicable to an MLFMA analysis. Attention is also directed toward development of a simple preconditioner to accelerate convergence of the conjugategradient solver. The utility of the model is examined for several applications, including scattering from an electrically large vehicle, trees and rough dielectric interfaces in the presence of a dielectric half space background.

The Study on a New Approximate Method of Computing Electromagnetic Scattering from Multilayer Rough Sea Surfaces

“…These two cases exist simultaneously on the rough sea surface, the superposition of KA and SPA can be applied to solve them [3] .Computing electromagnetic scattering from multilayer rough surfaces can be based on numerical analysis methods such as method of moment (MOM) [4,5] , the finite difference time domain method (FDTD) [6,7,8] and so on. These numerical calculation methods involve a large amount of calculation, although recent efforts have been put forth to study the multipole fast algorithm [9] , parallel algorithms [10] and etc.…”