导电圆锥边界电磁场问题本征值计算

导电圆锥边界电磁场问题本征值计算 ON NUMERICAL COMPUTATION OF EIGENVALUES OF ELECTROMAGNETIC BOUNDARY VALUE PROBLEMS INVOLVING CONDUCTING CONICAL BOUNDARIES 鲁述 Lu Shu Chen Jianping Xu Penggen and Wu Qingling first-author 陈建平 徐鹏根 吴庆麟 研究圆锥形导体边界电磁场问题时,必需知道问题的本征值及相应的本征函数值和归一化常数。本文提出了用数值法解连带勒让德方程以计算本征值的方法,利用这一方法确定圆锥边值问题的本征值费机时少、准确度高,而且可同时得到计算散射、辐射问题所需全部数据。 Electromagnetic boundary value problems involving conducting cones require eigenvalues, corresponding eigenfunctions and normalization constants. Such problems ocour in scattering by conical geometries and antennas on or in the vicinity of the conducting cones. In the present paper, an efficient method for calculating the eigenvalues is presented, which is based on numerical solution of differential equations of the associated Legendre functions. Using this method, the determination of the eigenvalues is rapid and highly accurate. Also, all the data necessary to calculate scattering and radiation problems can be obtained readily. 导电圆锥 电磁边值问题 本征值 微分方程数值解法 Conoucting cone Electromagnetic boundary value problem Eigenvalue Numerical solution of differential eguations 1987-02-01 2021-04-01 2