Theory of speckle-pattern tomography in multiple-scattering media

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Abstract
We develop the principle of ‘‘speckle-pattern tomography’’ in the multiple-scattering regime, i.e., the technique of using correlations between complex interference patterns to determine the position of a special scatterer for either electromagnetic or acoustical wave propagation through a diffusive scattering medium. We focus on two concrete examples which are relevant to experiments and possible applications: (i) detecting the position of a stationary special scatterer in a medium of moving scatterers; (ii) detecting the appearance and position of a new added scatterer.