Paper Info
Title
Non-invasive imaging through random media
Abstract
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 is based on the white-noise paraxial model, in which the wave amplitude is described by the Ito-Schrodinger equation. We identify a scaling regime where the scheme works well, which we refer to as the scintillation regime. In this regime the wavelength is smaller than the correlation radius of the medium, which in turn is smaller than the beam radius; moreover, the propagation distance is longest scale. 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 and (ii) the statistical stability or signal-to-noise ratio with which the information can be extracted.
Year
DOI
Venue
2018
10.1137/18M1171977
SIAM JOURNAL ON APPLIED MATHEMATICS
Keywords
DocType
Volume
waves in random media,multiple scattering,paraxial approximation,speckle imaging
Journal
78
Issue
ISSN
Citations 
6
0036-1399
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Josselin Garnier132647.70
Knut Sølna214246.02