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arXiv · 1005.0951

Local diffusion theory of localized waves in open media

Chu-Shun Tian·Sai-Kit Cheung·Zhao-Qing Zhang
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Abstract

We report a first-principles study of static transport of localized waves in quasi-one-dimensional open media. We found that such transport, dominated by disorder-induced resonant transmissions, displays novel diffusive behavior. Our analytical predictions are entirely confirmed by numerical simulations. We showed that the prevailing self-consistent localization theory [van Tiggelen, {\it et. al.}, Phys. Rev. Lett. \textbf{84}, 4333 (2000)] is valid only if disorder-induced resonant transmissions are negligible. Our findings open a new direction in the study of Anderson localization in open media.

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Chu-Shun Tian, Sai-Kit Cheung, Zhao-Qing Zhang. 2010-07-01. Local diffusion theory of localized waves in open media. https://doi.org/10.1103/physrevlett.105.263905

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