一种重建层状介质特性剖面的新方法
A NEW METHOD OF RECONSTRUCTING PROFILES OF LAYERED MEDIA
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摘要: 本文针对层状介质特性剖面的重建问题,研究了电磁波在层状介质中传播的时域数学模型;然后将层状介质特性剖面重建问题,归结为分布参数系统的参数辨识问题;并在前人工作的基础上,提出了一种新的重建层状介质特性剖面的有效方法。它优于通常的利用反射系数r(k)或脉冲响应来反演势函数V(z)的重建方法。此外本文在重建反演方面应用阶跃梯度分层反演法得出一种快速辨识算法,并给出了仿真实例。Abstract: To solve the problem of reconstructing profiles of layered media (RPLM), at first a new time-domain mathematical model for EM wave propagation in lavered media is presented. Secondly, the problem for RPLM is reduced to a paramerer identification one with distributed parameter system. Then a new effective method of RPLM is presented. The method is better than the reconstruction method using reflection coefficient or impluse response to inverse its potential function. A fast identification algorithm is obtained by making use of the step-gradient layered inversion method. Finally, a digital simulation example shows the feasibility of the algorithm.
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