Anderson Localization as Position-Dependent Diffusion in Disordered Waveguides

Author

Ben Payne
Alexey Yamilov, Missouri University of Science and TechnologyFollow
Sergey E. Skipetrov

Abstract

We show that the recently developed self-consistent theory of Anderson localization with a position-dependent diffusion coefficient is in quantitative agreement with the supersymmetry approach up to terms of the order of 1 / g²₀ (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. Our numerical results confirm that in open disordered media, the onset of Anderson localization can be viewed as position-dependent diffusion.

Recommended Citation

B. Payne et al., "Anderson Localization as Position-Dependent Diffusion in Disordered Waveguides," Optics InfoBase Conference Papers, Optical Society of America (OSA), Oct 2010.

Meeting Name

Frontiers in Optics (2010: Oct. 24-28, Rochester, NY)

Department(s)

Physics

Keywords and Phrases

Ab Initio Simulations; Anderson Localization; Disordered Waveguides; Quantitative Agreement; Wave Transport, Diffusion, Waveguides

International Standard Serial Number (ISSN)

2162-2701

Document Type

Article - Conference proceedings

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2010 Optical Society of America (OSA), All rights reserved.

Publication Date

01 Oct 2010