https://doi.org/10.1140/epjst/e2016-60255-5
Regular Article
Position-dependent radiative transfer as a tool for studying Anderson localization: Delay time, time-reversal and coherent backscattering
1 Université Grenoble Alpes, LPMMC, 38000 Grenoble, France
2 CNRS, LPMMC, 38000 Grenoble, France
3 Department of Physics and Astronomy, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada
a e-mail: sergey.skipetrov@lpmmc.cnrs.fr
Received: 2 September 2016
Revised: 4 November 2016
Published online: 25 May 2017
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.
© The Author(s) 2017
Open Access This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
