利用畸变born迭代法重构局部粗糙界面埋在三维空间中的二维物体

Y. Altuncu, Tulun Durukan, R. Akdogan
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引用次数: 2

摘要

本文采用畸变出生迭代法(DBIM)解决了埋在具有局部粗糙界面的三部分空间中的不可达目标的重建问题。DBIM需要通过求解直接散射问题来计算每一步迭代的背景电场和格林函数。本文采用埋藏对象方法(BOA)进行数值计算,该方法在解决具有局部粗糙界面的分层介质等问题时非常有用。各种数值应用证明了该方法的适用性和有效性。当中等对比度的物体被埋在中间空间时,该方法可以非常成功地重建中等对比度的物体。在这种情况下,即使埋地物体和界面粗糙度具有复杂的几何结构,该方法也能有效地工作。此外,埋藏物的多样性对重建结果没有负面影响。然而,当物体被埋在底部空间时,重建结果会变差。然而,在这种情况下,它们的准确性仍然处于可接受的水平。
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RECONSTRUCTION OF TWO-DIMENSIONAL OBJECTS BURIED INTO THREE-PART SPACE WITH LOCALLY ROUGH INTERFACES VIA DISTORTED BORN ITERATIVE METHOD
In this paper, the reconstruction problem of inaccessible objects buried into a three-part space with locally rough interfaces is solved by Distorted Born Iterative Method (DBIM). DBIM requires the calculation of the background electric field and Green’s function in every iteration step via the solution of the direct scattering problem. Here, they are calculated numerically by using the buried object approach (BOA) which is very useful in the solutions of the problems including stratified media with locally rough interfaces. Various numerical applications have been performed to demonstrate the applicability and efficiency of the method. The method was found to be very successful in reconstructing moderate contrast objects when they were buried in the middle space. In this case, the method works effectively even if the buried objects and interface roughnesses have complex geometric structures. Moreover, the multiplicity of buried objects has no negative effect on the reconstruction results. Nevertheless, the results of reconstruction deteriorate when objects are buried in the bottom space. However, the accuracies of them are still on an acceptable level in this situation.
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