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Dynamics of Localized Waves

2007/10/16 by Z. Q. Zhang, A. A. Chabanov, Zhang, Z. Q. +10
Engineering · Physics and Astronomy · #Acoustic Wave Resonator Technologies #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Terahertz technology and applications #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.0710.3155

5 RevTex pages, 3 figures; submitted to PRL

openalex publication_date 2007/10/16 · arxiv created 2008/03/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We have measured pulsed microwave transmission through quasi-1D samples with lengths up to three localization lengths. For times approaching four times the diffusion time τD, transmission is diffusive in accord with the self-consistent theory of localization for the renormalized diffusion coefficient in space and frequency, D(z,Ω). For longer times, the transmission decay rate first agrees with and later falls increasingly below the self-consistent theory. Beyond the Heisenberg time, the decay rate approaches the predictions of a dynamic single parameter scaling model which reflects the decay of long-lived localized modes and converges to the results of 1D simulations.

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