Local diffusion theory of localized waves in open media
Disordered Systems and Neural Networks
2015-05-18 v2 Mesoscale and Nanoscale Physics
Optics
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.
Cite
@article{arxiv.1005.0951,
title = {Local diffusion theory of localized waves in open media},
author = {Chu-Shun Tian and Sai-Kit Cheung and Zhao-Qing Zhang},
journal= {arXiv preprint arXiv:1005.0951},
year = {2015}
}
Comments
4 pages, 2 figures