%0 Journal Article
%T THE FAST MULTIPOLE METHOD OF THREE DIMENSIONAL ELECTROMAGNETIC WAVE VOLUME INTEGRAL EQUATION(3DV-FMM)<br>三维电磁波体积分方程的快速多极子算法
%A Chen Xiaoguang
%A Jin Yaqiu
%A <br>陈晓光
%A 金亚秋
%J 电子与信息学报
%D 2000
%I 
%X In this paper, a Fast Multipole Method (FMM) is developed to solving the scattered fields from three dimensional (3D) inhomogeneous dielectric scatterers. This generalized FMM is applied to the volume integral equation (3DV-FMM). The discrete formula of the volume integral equation was derived by the basic FMM and multi-level FMM. The FMM approach significantly reduces both the complexity of a matrix-vector multiplying and memory requirement. In calculation, the delta function is chosen as the basis and perfect convergence to the FMM results is achieved. As a typical example, the bistatic RCS of cubic scatterers with homogeneous, or inhomogeneous permittivity is calculated numerically. Distribution of electric currents on the cross-section of a dielectric cube is also obtained. Comparing with conventional moment method, the results of 3DV-FMM are exactly matched. However, the computer memory and CPU time are greatly reduced by using the 3DV-FMM. This method is applicable to the forward numerical simulation for 3D electromagnetic inverse problem.
%K 3-dimensional integral equation
%K FMM
%K Numerical results<br>三维积分方程
%K 快速多极子算法
%K 数值结果
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=1319827C0C74AAE8D654BEA21B7F54D3&jid=EFC0377B03BD8D0EF4BBB548AC5F739A&aid=34F73C16187F38FA&yid=9806D0D4EAA9BED3&vid=BC12EA701C895178&iid=B31275AF3241DB2D&sid=66156A49F03BF135&eid=C368DFEE1EA2C91D&journal_id=1009-5896&journal_name=电子与信息学报&referenced_num=0&reference_num=9