中文摘要：

研究了球面电磁波在多维空间时变媒质中的传播特性。结合相应的边界条件，建立了球面电磁波入射到时变媒质时的Laplace方程和时变媒质突变后的齐次波动方程。运用传统的分离变量法得到了媒质参数突变情况下球面电磁波场强的分布，在此基础上，模仿WKB方法推导出了媒质参数渐变情况下球面电磁波的场强分布。并对一维情况下的解进行了仿真验证，证明了该方法的正确性。

英文摘要：

The propagation of spherical electromagnetic wave （SEW） in a time-varying media of multidimensional space were studied. According to the boundary conditions, Laplace equation of SEW before the media changing abruptly and the homogeneous wave equation after the media changing abruptly were constructed. The traditional separation of variables method is used to get the solution of SEW electric-fields when the parameter of the media changes abruptly. On the basis of these,WKB method is used to get the solution of SEW electric-fields when the parameter of the media changes gradually. Figures in the 1D case were depicted to testify the solutions and the validity of the methods in this paper is testified.