旋转对称矩量法高阶算法研究

摘要

It is inefficient that the Method Of Moments (MOM) is applied to solve a three-dimensional (3-D) scattering problem of Bodies Of Revolution ( BOR) . A more efficient low dimensional way has been proposed based on the structural characteristics of BOR. However,this improvement is still not enough for analysis of electrically large objects. According to the decomposition property of the current on the surface of BOR,a high-order basis of function is constructed by the Chebyshev series,in which the current tangent and azi-muth components are expanded into high-order basis functions. Experimental results show that the high-order BOR-MOM can get higher computational precision with lower discretization,it can greatly improve the computational efficiency and storage consumption.%直接应用三维矩量法求解旋转对称目标的电磁散射特性计算效率较低，计算机内存耗费大，利用其结构特点可降维获得一种更为有效的计算方式。然而对于电大目标，这种改进依然是不够的。文中根据旋转对称目标矩量法( BOR-MOM)中电流的分解特征，构建了一种基于切比雪夫近似的高阶基函数，将电流的切向分量和方位角分量分别以该高阶基函数展开后应用矩量法求解。实验结果表明：高阶BOR-MOM算法在低剖分下，具有很高的计算精度，计算效率和存储耗费得到了较大改善。