Position-dependent radiative transfer as a tool for studying Anderson localization: Delay time, time-reversal and coherent backscattering

Abstract

Previous work has established that the localized regime of wave transport in open media is characterized by a position-dependent diffusion coefficient. In this work we study how the concept of position-dependent diffusion affects the delay time, the transverse confinement, the coherent backscattering, and the time reversal of waves. Definitions of energy transport velocity of localized waves are proposed. We start with a phenomenological model of radiative transfer and then present a novel perturbational approach based on the self-consistent theory of localization. The latter allows us to obtain results relevant for realistic experiments in disordered quasi-1D wave guides and 3D slabs.

Submitted to the special issue of EPJ ST in honor of scientific legacy of Roger Maynard. Revised manuscript

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Cited by in corpus (5)

• Tunable high-index photonic glasses
• Dynamic coherent backscattering of ultrasound in three-dimensional strongly-scattering media
• Intensity of waves inside a strongly disordered medium
• Mesoscopic Theory of Wavefront Shaping to Focus Waves inside Disordered Media
• Time delay in 1D disordered media with high transmission