标题： 通过随机介质的非侵入成像 显示英文标题

标题： Non-invasive imaging through random media

摘要： 当波通过强散射介质传播时，能量通过散射转移到非相干波部分。 波的强度随后形成一个随机的斑点图案，似乎没有太多有用的信息。 然而，最近的一些物理实验表明如何从这种斑点图案中提取有用信息。 在这里，我们提出了数学分析，解释了这种用于斑点成像方案的令人惊讶的性能。 我们的分析确定了一个该方案表现良好的尺度范围。 这个范围是白噪声近轴范围，它导致了波幅的伊藤-薛定谔模型。 本文提出的结论符合推动这些方案的复杂物理直觉，但提供了对性能更详细的描述。 分析给出了以下内容的描述：(i) 可以提取的信息及其分辨率，(ii) 信息可以被提取的统计稳定度或信噪比。 显示英文摘要

摘要： When waves propagate through a strongly scattering medium the energy is transferred to the incoherent wave part by scattering. The wave intensity then forms a random speckle pattern seemingly without much useful information. However, a number of recent physical experiments show how one can extract useful information from this speckle pattern. Here we present the mathematical analysis that explains the quite stunning performance of such a scheme for speckle imaging. Our analysis identifies a scaling regime where the scheme works well. This regime is the white-noise paraxial regime, which leads to the Ito-Schrodinger model for the wave amplitude. The results presented in this paper conform with the sophisticated physical intuition that has motivated these schemes, but give a more detailed characterization of the performance. The analysis gives a description of (i) the information that can be extracted and with what resolution (ii) the statistical stability or signal-to-noise ratio with which the information can be extracted.