Decorrelation in Complex Wave Scattering

Abstract: Phenomena involving multiple scattering, despite having attracted considerable attention in physics for decades, continue to generate unexpected and counterintuitive behaviours prompting further studies. For optical scattering, the memory effect well predicts fourth order statistics, i.e. the intensity correlation, as long as the scattering strength and depth are within certain bounds. The memory effect has found a wide range of applications, where its limitations also become apparent: for example, in imaging through turbid media, decorrelation due to multiscattering in thick samples has been shown to restrict the field of view. However, to our knowledge, no comprehensive mechanism exists to date that can account for decorrelation precisely. In this paper, we quantify how the scatterer's own statistics determine such limitations. We show that the ensemble statistics of the backscattered field may be decomposed into two terms: one expresses surface scattering, where statistical distributions of multiscale structure features may be inferred from our previous works; while the second term originates from the underlying scattering volume and is diffusive. The new framework agrees well with experiments, including the prediction of a new quasipower law for fluctuations induced by the single realization.