中文摘要：

研究了水平磁偶极子在平面分层介质上空间的电磁场.用广义阻抗边界条件模拟平面分层介质与电磁场的相互作用,通过求解赫兹矢量势的亥姆霍兹方程,得到了反射场的精确表达式.应用特殊函数的相关性质和判据,将场表达式中的积分进一步化简为级数形式.

英文摘要：

This paper studied the electromagnetic fields of a horizontal magnetic dipole above parallel-stratified media,this article employed the generalized impedance boundary conditions to simulate the effect of the interface on electromagnetic fields,got an analytic solution by use of the Hertz vector from Helmholtz equation.The integral of the solution is simplified as series,by use of relevant properties and identities of special functions.