5 结论
本文针对形状复杂物体使用矩量法求解电磁散射时使用单一三角形单元和相应基函数产生未知元个数过多,而使用单一四边形单元又难以生成高质量网格的问题,以及在计算复杂载体上天线辐射时如何方便精确地处理馈源处的基函数同时又要求在载体表面产生较少网格的问题,提出使用混合网格并建立了相应的混合基函数。数值计算的结果表明,采用这种混合形式的基函数,在模拟复杂形状物体时,可以在保持精度的前提下,较大程度地减小基函数的个数,从而减小未知元的个数。因此,该方法是有效和精确的。?
参考文献
〔1〕J H Richmond. A wire?grid model for scattering by conducting bodies. IEEE Trans. Ant.& Prop.,1966,14(6):782~786
〔2〕R F Harrington. Field Computation by Moment Methods. New York: McMillan, 1968
〔3〕S M Rao, D R Wilton, A W Glisson. Electromagnetic scattering by surfaces of arbitrary shape. IEEE Trans. Ant. & Prop.,1982,30(3): 409~418
〔4〕E H Newman, P Tulyatha. A aurface patch model for polygonal plates. IEEE Trans. Ant. & Prop.,1982,30(4):588~593
〔5〕Ronald Coifman, Vladimir Rokhlin, Stephen Greengard. The fast multipole method for the wave equation: a pedestrian prescription. IEEE Antennas and Propagation Magazine, 1993,35(3):7~12
〔6〕C C Lu, W C Chew. A multilevel algorithm for solving boundary?value scattering. Micro. Opt. Tech. Lett.,1994,7(10):466~470
〔7〕Blacker T D. Paving: a new approach to automated quadrilateral mesh generation. Int. J Numer. Mesh. Eng.,1991,32:811~847
〔8〕N C Albertsen, J E Hansen, N E Jensen. Computation of radiation from wire antennas on conducting bodies. IEEE Trans. Ant. & Prop.,1974,22(2):200~205
〔9〕Ibrahim Tekin, E H Newman. Method of moment solution for a wire attached to an arbitrary faceted surface. IEEE Trans. Ant. & Prop.,1998,46(4):559~562
〔10〕S U Hwu, D R Wilton. Electromagnetic Scattering and Radiation by Arbitrary Configurations of Conducting Bodies and Wires, San Diego State University, Tech. Rep. 87?17, May,1998
〔11〕O C Zienkiewica, D V Phillips. An automatic mesh generation scheme for plane and curved surfaces by isoperimetric ordinates. Int. J. Numer. Mesh. Eng.,1971,3:519~528
〔12〕Branko M Kolundzija. On the locally continuous formulation of surface doublets. IEEE Trans. Ant. & Prop.,1998,46(12):1879~1883
〔13〕S Bhattacharya,S Long,D Wilton. The input impedance of a monopole antenna mounted on a cubical conducting box. IEEE Trans. Ant. & Prop.,1987,35(7):756~762