Statistics of the mesoscopic field

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Statistics of the mesoscopic field

A. A. Chabanov and A. Z. Genack

Phys. Rev. E 72, 055602(R) – Published 18 November 2005

Abstract

The measured probability distribution of the microwave field in an ensemble of strongly scattering samples is far from Gaussian. We show, however, that the field in a subensemble with specified total transmission is a Gaussian random variable. This confirms the central hypothesis of random matrix theory of perfect mode mixing and leads to the conclusion that the field and intensity normalized by their respective average magnitudes in a given configuration and the total transmission are statistically independent. This yields a universal form for the intensity correlation function and explains measurements of steady-state and time-resolved transmission in weakly and strongly scattering samples.

Received 19 November 2004

DOI:https://doi.org/10.1103/PhysRevE.72.055602

Authors & Affiliations

A. A. Chabanov^1,2,* and A. Z. Genack¹

¹Department of Physics, Queens College of the City University of New York, Flushing, New York 11367, USA
²Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA

^*Present address: Department of Physics and Astronomy,University of Texas at San Antonio, San Antonio, TX 78249.

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Vol. 72, Iss. 5 — November 2005

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics