Mutual information between reflected and transmitted speckle images

TL;DR

This paper theoretically analyzes the mutual information between reflected and transmitted speckle patterns in disordered media, revealing optimal pixel spacing that maximizes information transfer.

Contribution

It introduces a theoretical framework for mutual information in speckle patterns, considering disorder strength and spatial correlations, supported by numerical simulations.

Findings

Mutual information depends on disorder strength and Thouless number g.

An optimal pixel distance enhances mutual information by a factor of Ng.

Long-range intensity correlation loops are key to understanding information transfer.

Abstract

We study theoretically the mutual information between reflected and transmitted speckle patterns produced by wave scattering from disordered media. The mutual information between the two speckle images recorded on an array of N detection points (pixels) takes the form of long-range intensity correlation loops, that we evaluate explicitly as a function of the disorder strength and the Thouless number g. Our analysis, supported by extensive numerical simulations, reveals a competing effect of cross-sample and surface spatial correlations. An optimal distance between pixels is proven to exist, that enhances the mutual information by a factor Ng compared to the single-pixel scenario.