任意半径圆形电流在径向成层介质中产生的电磁场

采用递推矩阵方法计算径向成层介质中的二维Green函数.根据层界面处电场和磁场的连续性条件得到确定待定系数的矩阵方程组并通过递推方法快速求解.只需改变方程组中源项元素的位置,就可以方便地得到当源点和场点在任意层时的二维Green函数,并进而得到具有任意半径的圆形电流在介质中产生的电磁场.本文给出的Green函数具有表达方式简洁的优点.

Electromagnetic fields of circular current with arbitrary radius in radial stratified media

A recursive matrix method is adopted for the computation of two-dimensional Green's functions in radial stratified media.A matrix equation group for computing the coefficients is obtained according to the continuity condition of electric and magnetic fields across the interface between different layers.The equation can be quickly solved via the recursive method.The two-dimensional Green's functions with source point and field point being in any layer can be conveniently obtained by merely changing the position of the elements within the source term of the equation group,and then the electromagnetic fields of circular current with arbitrary radius in the media can be obtained.The expression of the Green's functions provided by this paper has the merit of terse form.