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.
B. Payne et al., "Anderson Localization as Position-Dependent Diffusion in Disordered Waveguides," Optics InfoBase Conference Papers, Optical Society of America (OSA), Oct 2010.
Frontiers in Optics (2010: Oct. 24-28, Rochester, NY)
Keywords and Phrases
Ab Initio Simulations; Anderson Localization; Disordered Waveguides; Quantitative Agreement; Wave Transport, Diffusion, Waveguides
International Standard Serial Number (ISSN)
Article - Conference proceedings
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