arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1802.07883physics.opticsmath.PR
收藏

通过随机介质的非侵入性成像

Non-invasive imaging through random media

Josselin Garnier, Knut Solna

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。然后,波的强度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显示了如何从这种散斑图案中提取有用的信息。在这里,我们提出的数学分析,解释了相当惊人的性能,这样的计划斑点成像。我们的分析确定了一个缩放制度,该计划运作良好。这个政权是白噪声傍轴政权,这导致伊藤薛定谔模型的波振幅。本文给出的结果符合激发这些方案的复杂物理直觉,但对性能给出了更详细的表征。该分析给出了(i)可以提取的信息和以什么分辨率(ii)可以提取信息的统计稳定性或信噪比的描述。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑