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Mutual Information between Reflected and Transmitted Speckle Images.

N Fayard1, A Goetschy1, R Pierrat1

  • 1ESPCI Paris, PSL Research University, CNRS, Institut Langevin, 1 rue Jussieu, F-75005 Paris, France.

Physical Review Letters
|March 16, 2018
PubMed
Summary
This summary is machine-generated.

We investigated mutual information in scattered light patterns. An optimal pixel distance was found to significantly boost information transfer, revealing long-range correlations in disordered media.

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Area of Science:

  • Wave scattering
  • Disordered media physics
  • Information theory in optics

Background:

  • Speckle patterns arise from wave scattering in disordered media.
  • Mutual information quantifies shared information between two systems, here reflected and transmitted light patterns.
  • Understanding correlations in scattered waves is crucial for characterizing complex media.

Purpose of the Study:

  • To theoretically investigate the mutual information between reflected and transmitted speckle patterns.
  • To analyze how mutual information depends on disorder strength and Thouless number.
  • To identify conditions that optimize mutual information for enhanced information transfer.

Main Methods:

  • Theoretical analysis of mutual information in wave scattering.
  • Explicit evaluation of mutual information as long-range intensity correlation loops.
  • Numerical simulations to support theoretical findings.
  • Analysis as a function of disorder strength and Thouless number (g).

Main Results:

  • Mutual information manifests as long-range intensity correlation loops.
  • A competing interplay between cross-sample and surface spatial correlations was identified.
  • An optimal inter-pixel distance was demonstrated to enhance mutual information.
  • Mutual information enhancement scales with the number of detection points (N) and Thouless number (g), by a factor of Ng.

Conclusions:

  • Mutual information in scattered speckle patterns exhibits complex correlation structures.
  • Optimizing detector placement is key to maximizing information extraction from disordered systems.
  • The findings provide insights into the fundamental limits of information transfer through scattering media.