谱域法与源展开函数

The Spectral Domain Method and Source Expanded Functions

设Ｆｏｕｒｉｅｒ变换将ｚ的函数变换成γ的函数，则用谱域法计算ｚ方向的脉冲磁（电）流产生的ｚ方向的磁（电）场时，不能计算出一些特殊点的场．本文从理论上证明了当场点与源点具有相同的横坐标时，Ｆｏｕｒｉｅｒ反交换不收敛．源是三角、正弦等函数时，则不存在不收敛性．

Suppose the Fourier transform converts functions of z to functions of the transform variable Y. When the Spectral Domain Method is used to calculate z component of magnetic (electric) field,which is induced by pulse magnetic (electric) current in z direction,it can' t provide the field at some special points. When the field point has the same transverse coordinate with the source POint,the inverse Fourier transform is nonconvergent. When the source is triangle functionsine function etc.,the nonconvergent disappears. This paper supplies the proof of this point ofview.