Local diffusion theory of localized waves in open media
arXiv:1005.0951 · doi:10.1103/PhysRevLett.105.263905
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.
4 pages, 2 figures
References in corpus (13)
- Anderson localization of a non-interacting Bose-Einstein condensate
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Localization of ultrasound in a three-dimensional elastic network
- Unusual Resonators: Plasmonics, Metamaterials, and Random Media
- Dynamics of Anderson localization in open 3D media
- Dynamics of weakly localized waves
- Bistability of Anderson localized states in nonlinear random media
- Localized Modes in Open One-Dimensional Dissipative Random Systems
- Anderson localization as position-dependent diffusion in disordered waveguides
- Microscopic derivation of self-consistent equations of Anderson localization in a disordered medium of finite size
- Supersymmetric field theory of local light diffusion in semi-infinite media
- Anderson localization from classical trajectories
- Comment on "Scaling behavior of classical wave transport in mesoscopic media at the localization transition"
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