Richardson外推技术及其在电磁散射中的应用  

Application of richardson extrapolation technique in electromagnetic scattering

作　　者：汤进龙[1] 孙连友[1] 洪伟[1] 

机构地区：[1]东南大学无线电工程系毫米波国家重点实验室,江苏南京210096

出　　处：《电波科学学报》2003年第3期247-251,共5页Chinese Journal of Radio Science

基　　金：国家高科技发展计划重大项目 ( 2 0 0 2AA12 3 0 3 1) ;国家杰出青年基金( 60 2 2 5 0 0 1);海外青年合作研究基金 ( 65 0 40 0 1167)的资助

摘　　要：基于Richardson外推 (Extrapolation)技术和有限元法 (FEM )相结合快速计算均匀平面波入射到一非理想导体上的散射场。与传统方法不同 ,外推方法首先需要把分析区域剖分为二组网格 ,然后分别采用有限元法求解标量亥姆霍兹方程 ,得到平面入射波在某一给定角度照射下散射体表面的散射场。接着通过外推技术获得散射体在这一给定角度入射波照射下散射体表面的散射场 ,进而可得到散射场。这种混合方法不仅可以减少计算量、提高计算速度 ,而且能提高计算精度。The Richardson extrapolation technique in conjunction with the finite element method (FEM) is applied to calculate the scattered field of two-dimensional imperfectly conducting geometries illuminated by a plane waves. With two groups of sparse mesh, unlike conventional method, the Helmholtz equation is solved using FEM in order to obtain the corresponding scattered fields on the scatterer′s surface Then the fields can be achieved on the scatterer′s surface by the use of the Richardson extrapolation technique. The scatterer′s surface field is in turn used to calculate scattered fields. The hybrid approach not only decreases the workload, but also improves the precision. Numerical results demonstrate the validity and efficiency of the method.

关 键 词：RICHARDSON外推 有限元法 散射场 凸阻抗柱 电磁散射 

分 类 号：TN011[电子电信—物理电子学]