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Mathematics > Analysis of PDEs

arXiv:1804.00552 (math)
[Submitted on 2 Apr 2018 (v1), last revised 20 Jun 2018 (this version, v2)]

Title:Imaging through a scattering medium by speckle intensity correlations

Authors:Josselin Garnier, Knut Solna
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Abstract:In this paper we analyze an imaging technique based on intensity speckle correlations over incident field position proposed in [J. A. Newmann and K. J. Webb, Phys. Rev. Lett. 113, 263903 (2014)]. Its purpose is to reconstruct a field incident on a strongly scattering random medium. The thickness of the complex medium is much larger than the scattering mean free path so that the wave emerging from the random section forms an incoherent speckle pattern. Our analysis clarifies the conditions under which the method can give a good reconstruction and characterizes its performance. The analysis is carried out in the white-noise paraxial regime, which is relevant for the applications in optics that motivated the original paper.
Comments: 23 pages, 1 figure
Subjects: Analysis of PDEs (math.AP)
MSC classes: 35R60, 78A48
Cite as: arXiv:1804.00552 [math.AP]
  (or arXiv:1804.00552v2 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.00552
Related DOI: https://doi.org/10.1088/1361-6420/aacfb0

Submission history

From: Josselin Garnier [view email]
[v1] Mon, 2 Apr 2018 14:28:43 UTC (33 KB)
[v2] Wed, 20 Jun 2018 14:47:13 UTC (34 KB)
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