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.
Description
Position-dependent radiative transfer as a tool for studying Anderson localization: Delay time, time-reversal and coherent backscattering | SpringerLink
%0 Journal Article
%1 vantiggelen2017positiondependent
%A van Tiggelen, B. A.
%A Skipetrov, S. E.
%A Page, J. H.
%D 2017
%J The European Physical Journal Special Topics
%K anderson-localization self-consistent-theory theory
%N 7
%P 1457--1475
%R 10.1140/epjst/e2016-60255-5
%T Position-dependent radiative transfer as a tool for studying Anderson localization: Delay time, time-reversal and coherent backscattering
%U https://doi.org/10.1140/epjst/e2016-60255-5
%V 226
%X 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.
@article{vantiggelen2017positiondependent,
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.},
added-at = {2018-10-21T17:08:59.000+0200},
author = {van Tiggelen, B. A. and Skipetrov, S. E. and Page, J. H.},
biburl = {https://www.bibsonomy.org/bibtex/2e5a2af6c384fba5acf6fa1d0e95ac450/gaubry},
day = 01,
description = {Position-dependent radiative transfer as a tool for studying Anderson localization: Delay time, time-reversal and coherent backscattering | SpringerLink},
doi = {10.1140/epjst/e2016-60255-5},
interhash = {5f304fa5688e25b53828c029558f5014},
intrahash = {e5a2af6c384fba5acf6fa1d0e95ac450},
issn = {1951-6401},
journal = {The European Physical Journal Special Topics},
keywords = {anderson-localization self-consistent-theory theory},
month = may,
number = 7,
pages = {1457--1475},
timestamp = {2018-10-21T17:08:59.000+0200},
title = {Position-dependent radiative transfer as a tool for studying Anderson localization: Delay time, time-reversal and coherent backscattering},
url = {https://doi.org/10.1140/epjst/e2016-60255-5},
volume = 226,
year = 2017
}