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Statistics of the Mesoscopic Field

A. A. Chabanov·A. Z. Genack
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Abstract

We find in measurements of microwave transmission through quasi-1D dielectric samples for both diffusive and localized waves that the field normalized by the square root of the spatially averaged flux in a given sample configuration is a Gaussian random process with position, polarization, frequency, and time. As a result, the probability distribution of the field in the random ensemble is a mixture of Gaussian functions weighted by the distribution of total transmission, while its correlation function is a product of correlators of the Gaussian field and the square root of the total transmission.

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A. A. Chabanov, A. Z. Genack. 2005-02-14. Statistics of the Mesoscopic Field. https://doi.org/10.1103/physreve.72.055602

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