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Statistics of the mesoscopic field

A. A. Chabanov1,2,* 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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Phys. Rev. E 72, 055602(R) – Published 18 November, 2005

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

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.

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Information

Phys. Rev. E 72, 055602(R)– Published 18 November, 2005
  • Received 19 November 2004

© 2005 American Physical Society

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