Statistics of the Mesoscopic Field

Details Statistics of the Mesoscopic Field Statistics of the Mesoscopic Field

2005-02-14

arxiv.org/abs/cond-mat/0502334v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

RevTex: 5 pages, 2 figures; to be presented at Aspects of Quantum Chaotic Scattering (Dresden, March 7-12, 2005)

Scientific paper

10.1103/PhysRevE.72.055602

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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