一種重建層狀介質(zhì)特性剖面的新方法
A NEW METHOD OF RECONSTRUCTING PROFILES OF LAYERED MEDIA
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摘要: 本文針對層狀介質(zhì)特性剖面的重建問題,研究了電磁波在層狀介質(zhì)中傳播的時域數(shù)學(xué)模型;然后將層狀介質(zhì)特性剖面重建問題,歸結(jié)為分布參數(shù)系統(tǒng)的參數(shù)辨識問題;并在前人工作的基礎(chǔ)上,提出了一種新的重建層狀介質(zhì)特性剖面的有效方法。它優(yōu)于通常的利用反射系數(shù)r(k)或脈沖響應(yīng)來反演勢函數(shù)V(z)的重建方法。此外本文在重建反演方面應(yīng)用階躍梯度分層反演法得出一種快速辨識算法,并給出了仿真實例。
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關(guān)鍵詞:
- 電磁波; 數(shù)學(xué)模型; 層狀介質(zhì); 剖面重建
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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