双曲型热传导方程双参数的同步反演

Simultaneous inversion of two-parameters from hyperbolic heating conduction equation

为解决双曲型热传导方程双参数同步反演问题,基于由材料表面检测到的光热频谱信号,利用脉冲谱技术和正则化方法,对非均匀固体样品的热弛豫时间和热传导系数予以深度剖面同步重构.在数值实验中,分别模拟了单调和非单调分布2套参数进行形态重构,并考虑噪声对重构的影响.结果显示:重构数据与原始数据吻合度良好,所建立的算法具有较好的稳定性和抗噪性.

To solve the problem of simultaneous inversion of two-parameters from hyperbolic heating conduction, based on surface photo-thermal signals, the numerical simulations of reconstructing the depth profile of the thermal relaxation time and thermal conductivity for inhomogeneous solid sample have been performed using pulsed spectrum technique and regulariza- tion method. In the numerical experiments, the profiles of two sets of parameters have been simulated which one set is monotonous and the other is non-monotonous configuration are reconstructed, and the influence of noise on the reconstructed profiles has been also considered. The results show that the reconstructed profiles agree well with the original ones, and the established algorithm has good stability and anti-noise performance.