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/g ₀² (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 g ₀ ~ 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," Physical review B: Condensed matter and materials physics, vol. 82, no. 2, pp. 024205-1 - 024205-6, American Physical Society (APS), Jul 2010.

The definitive version is available at https://doi.org/10.1103/PhysRevB.82.024205

Department(s)

Physics

International Standard Serial Number (ISSN)

1098-0121

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2010 American Physical Society (APS), All rights reserved.

Publication Date

01 Jul 2010