点源激励电磁波在球空间时变媒质中的传播解

研究点源激励电磁波在高维空间时变媒质中的传播解.根据相应的边界条件,建立了球空间时变媒质点源激励的非齐次波动方程及媒质突变后的齐次波动方程.利用传统的分离变量法得到了该组方程的解,并且对一维情况下的解进行了作图验证.由解可见,媒质突变后波分裂为前向行波和后向行波,前向行波即为辐射波,后向行波向激励源传播,这就是通常的能量聚焦现象;此外,媒质突变时刻的前向行波和反向行波会发生频率改变,称为频率偏移现象.

Propagating Solution of Point Source Excitation Electromagnetic Wave in from Time-Varying Media Sphere Space

The electromagnetic propagation solutions of point source in a time-varying media of higher space were studied.According to the boundary conditions,inhomogeneous wave equation of point source before the media changing abruptly and the homogeneous wave equation after the media changing abruptly were constructed.Employing the traditional separation of variables,the solutions of the(equations) were obtained and figures in the 1D case were depicted to testify the solutions.After the(media) changing abruptly,the initial wave was splitted into the forward(traveling) wave and backward(traveling) wave.Two phenomena were generated,one was called energy focusing the other was called(frequency) shift.