This work presents results of ab-initio simulations of continuous wave transport in disordered absorbing waveguides. Wave interference effects cause deviations from diffusive picture of wave transport and make the diffusion coefficient position- and absorption-dependent. As a consequence, the true limit of a zero diffusion coefficient is never reached in an absorbing random medium of infinite size, instead, the diffusion coefficient saturates at some finite constant value. Transition to this absorption-limited diffusion exhibits a universality which can be captured within the framework of the self-consistent theory (SCT) of localization. The results of this work (i) justify use of SCT in analyses of experiments in localized regime, provided that absorption is not weak; (ii) open the possibility of diffusive description of wave transport in the saturation regime even when localization effects are strong.
A. Yamilov and B. Payne, "Interplay between Localization and Absorption in Disordered Waveguides," Optics Express, vol. 21, no. 10, pp. 11688-11697, Optical Society of American (OSA), May 2013.
The definitive version is available at https://doi.org/10.1364/OE.21.011688
Keywords and Phrases
Waveguides; Absorption-limited; Constant Values; Continuous Wave; Disordered Waveguides; Interference Effects; Localization Effect; Saturation Regime; Wave Transport
International Standard Serial Number (ISSN)
Article - Journal
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