关键词: 电介质, 空间电荷, 反卷积, Tikhonov正则化

Abstract: A numerical algorithm for space charge distribution in the planar dielectric sample by Pressure Wave Propagation (PWP)method is presented. The real space charge distribution is obtained from the deconvolution based on Tikhonov regularization method.Several technical treatments related to the deconvolution technique have been adopted,such as erasing the high frequency noise with wavelet packet filters,treating with integral equation using Tikhonov regularization method etc..The affect of noise for deconvolution algorithm is studied indetail by numerical experiments. It is shown that deconvolution algorithm for solving space charge distribution in dielectric can obtain very good results under low noise circumstance,however the numerical results are affected significantly under high noise circumstance,although they are still acceptable. There is evident smoothing effect for numerical solutions using regularization parameter α,but there is no significant effect for integral of numerical solution. Applying the deconvolution method to analyse experimental data,space charge distribution and electric field distribution are as well obtained successfully.

Key words: dielectrics, space charge, deconvolution, Tikhonov regularization