用全局收敛逆方法从实验后向散射数据重建refractive index
Reconstruction of the refractive index from experimental backscattering data using a globally convergent inverse method
摘要：
在这项工作中要研究的问题是在波动方程的系数识别问题的范围内。更确切地说，我们考虑的问题的折射率（或等效地说，介电常数）的非均匀介质使用一个后向散射边界测量的重建。本文的目标是分析Beilina和Klibanov的一个全局收敛算法的性能在夏洛特的北卡罗来纳大学微波实验室获得的实验数据。使用实验数据的主要挑战是这些数据与计算模拟数据之间的巨大不匹配。我们提出了数据预处理步骤，使前者在某种程度上看起来类似于后者。显示了非盲和盲目标的结果，表明即使对于目标和背景介质之间的高对比度也具有良好的重建。
英文摘要：
The problem to be studied in this work is within the context of coefficient identification problems for the wave equation. More precisely, we consider the problem of reconstruction of the refractive index (or equivalently, the dielectric constant) of an inhomogeneous medium using one backscattering boundary measurement. The goal of this paper is to analyze the performance of a globally convergent algorithm of Beilina and Klibanov on experimental data acquired in the Microwave Laboratory at University of North Carolina at Charlotte. The main challenge working with experimental data is the the huge misfit between these data and computationally simulated data. We present data pre-processing steps to make the former somehow look similar to the latter. Results of both non-blind and blind targets are shown indicating good reconstructions even for high contrasts between the targets and the background medium.
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