Anderson localization as position-dependent diffusion in disordered waveguides

  title={Anderson localization as position-dependent diffusion in disordered waveguides},
  author={Ben Payne and Alexey Yamilov and Sergey E. Skipetrov},
  journal={Physical Review B},
We show that the recently developed self-consistent theory of Anderson localization with a positiondependent diffusion coefficient is in quantitative agreement with the supersymmetry approach up to terms of the order of 1 /g 0 with g0 the dimensionless conductance in the absence of interference effects and with large-scale ab initio simulations of the classical wave transport in disordered waveguides, at least for g0 0.5. In the latter case, agreement is found even in the presence of absorption… Expand

Figures from this paper

Interplay between localization and absorption in disordered waveguides.
The results of this work justify use of SCT in analyses of experiments in localized regime, provided that absorption is not weak and open the possibility of diffusive description of wave transport in the saturation regime even when localization effects are strong. Expand
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 conceptExpand
Position-dependent diffusion of light in disordered waveguides
To observe position-dependent diffusion, disordered waveguide structures were fabricated with the silicon on insulator wafer and etched in an inductive coupled reactive ion etcher to observe spatial variation of the diffusion coefficient D(r) in the self consistent theory (SCT) of localization. Expand
Light transport behaviours in quasi-1D disordered waveguides composed of random photonic lattices
We present a numerical study on the light transport properties which are modulated by the disorder strength in quasi-one-dimensional disordered waveguide which consists of periodically arrangedExpand
Light transport in quasi-one-dimensional disordered waveguides composed of locally two-dimensional random square lattices
Abstract We present numerical studies on the light transport properties which are tuned by the disorder strength in quasi-one-dimensional disordered waveguides consisting of periodically arrangedExpand
Effect of evanescent channels on position-dependent diffusion in disordered waveguides
Abstract We employ ab initio simulations of wave transport in disordered waveguides to demonstrate explicitly that although accounting for evanescent channels manifests itself in the renormalizationExpand
Connection between wave transport through disordered 1D waveguides and energy density inside the sample: A maximum-entropy approach
Abstract We study the average energy – or particle – density of waves inside disordered 1D multiply-scattering media. We extend the transfer-matrix technique that was used in the past for theExpand
Transverse confinement of ultrasound through the Anderson transition in three-dimensional mesoglasses
We report an in-depth investigation of the Anderson localization transition for classical waves in three dimensions (3D). Experimentally, we observe clear signatures of Anderson localization byExpand
Statistics and control of waves in disordered media.
Fundamental concepts in the quasi-one-dimensional geometry of disordered wires and random waveguides in which ideas of scaling and the transmission matrix were first introduced are reviewed and the disposition of the energy density of transmission eigenchannels inside random media is explored. Expand
Light transmission properties in inhomogeneously-disordered random media
Spatially inhomogeneous disorder exists widely in optical systems. We present a numerical study on the light transport properties and analysis of transmission channels in random media withExpand


Mesoscopic Physics of Electrons and Photons
1. Introduction: mesoscopic physics 2. Wave equations in random media 3. Perturbation theory 4. Probability of quantum diffusion 5. Properties of the diffusion equation 6. Dephasing 7. ElectronicExpand
Methods of theoretical physics
Allis and Herlin Thermodynamics and Statistical Mechanics Becker Introduction to Theoretical Mechanics Clark Applied X-rays Collin Field Theory of Guided Waves Evans The Atomic Nucleus FinkelnburgExpand
Phys. Rev. Phys. Rev. Lett. Philos . Mag. B
  • Phys. Rev. Phys. Rev. Lett. Philos . Mag. B
  • 1492
Phys. Rev. Lett. Phys. Rev. B
  • Phys. Rev. Lett. Phys. Rev. B
  • 1077
Nat. Phys
  • Nat. Phys
Nature ͑London͒ 390
  • Nature ͑London͒ 390
Nature ͑London͒ 404
  • Nature ͑London͒ 404
Nature ͑London͒ 446
  • Phys. Rev. Lett
Phys. Rev. B
  • Phys. Rev. B
Phys. Rev. B
  • Phys. Rev. B