Random matrix description of dynamically backscattered coherent waves propagating in a wide-field-illuminated random medium

The wave propagation in a random medium plays critical role optics and quantum physics. Multiple scattering of coherent determines the transport procedure. Brownian motions scatterers perturb each trajectory form dynamic speckle patterns backscattered direction. In this study, we applied matrix theory to investigate eigenvalue density intensity matrix. We find that can be utilized decouple single multiple components. Wishart component is well described by Marčenko–Pastur law, while part has low-rank characteristic. We, therefore, propose strategy for estimating first second order moments components, respectively, based on law trace analysis. Electric field Monte Carlo simulation vivo experiments demonstrate its potential applications hidden absorbing object detection blood flow imaging. Our method other domain elastic phenomena wide-field microwave, ultrasound, etc.