Statistics of wave dynamics in random media

A. Z. Genack; P. Sebbah; M. Stoytchev; B. A. Van Tiggelen

doi:10.1103/physrevlett.82.715

Statistics of wave dynamics in random media

A. Z. Genack, P. Sebbah, M. Stoytchev, B. A. Van Tiggelen

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Abstract

We measure the joint distribution of the energy transmission coefficient ε_ab and the single channel delay time tab for microwave radiation propagating through a random medium in the limit of zero pulse bandwidth. For fixed ε_ab the distribution of τ_ab is Gaussian with variance inversely proportional to ε_ab. In contradistinction to τ_abthe dynamic matrix element ε_ab#x03C4;_ab has substantial long-range correlation with frequency shift. We present a new dynamic theory for a Gaussian process, which is in excellent agreement with experiment.

Original language	English
Pages (from-to)	715-718
Number of pages	4
Journal	Physical Review Letters
Volume	82
Issue number	4
DOIs	https://doi.org/10.1103/physrevlett.82.715
State	Published - 1999
Externally published	Yes

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AB - We measure the joint distribution of the energy transmission coefficient εab and the single channel delay time tab for microwave radiation propagating through a random medium in the limit of zero pulse bandwidth. For fixed εab the distribution of τab is Gaussian with variance inversely proportional to εab. In contradistinction to τabthe dynamic matrix element εab#x03C4;ab has substantial long-range correlation with frequency shift. We present a new dynamic theory for a Gaussian process, which is in excellent agreement with experiment.

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Statistics of wave dynamics in random media

Abstract

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