title: Local diffusion theory for localized waves in open media.
abstract: We report a first-principles study of static transport of localized waves in quasi-one-dimensional open media. We find that such transport, dominated by disorder-induced resonant transmissions, displays novel diffusive behavior. Our analytical predictions are entirely confirmed by numerical simulations. We show that the prevailing self-consistent localization theory [B. A. van Tiggelen, Phys. Rev. Lett. 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.
authors.affiliation: Institut für Theoretische Physik, Universität zu Köln, Köln, Germany.
authors.forename: Chu-Shun
authors.initials: CS
authors.lastname: Tian
authors.forename: Sai-Kit
authors.initials: SK
authors.lastname: Cheung
authors.forename: Zhao-Qing
authors.initials: ZQ
authors.lastname: Zhang