单脉冲在有限域分层非均匀媒质中的传播与反射的小波分析法

Utilization of Wavelet Series in the Propagation and Reflection of a Monopulse in a Layered Non－Uniform Medium on a Finite lnterval

本文应用小波变换求解了单脉冲在有限域分层非均匀媒质中的传播与反射，并将有限域分层均匀媒质作为它的特例，与用经典的Ｆｏｕｒｉｅｒ变换导出的结果相比较，二者完全一致，从而证明了小波变换方法的正确性．但更重要的也更有意义的是小波变换方法解决了Ｆｏｕｒｉｅｒ变换无法解决的分层非均匀媒质情形．

A new wavelet method is represented in this paper to analyze the propagation andreflection of a monopulse in a layered non-uniform medium on a finite interval. As an example,wavelet solution is comparied with Fourier solution when the medium is uniform and it is foundthat these two solutions from different methods are the same. More importantly,wavelet methodcan resolve non-uniform medium while Fourier method can not.