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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 8 — Apr. 22, 2013
  • pp: 10367–10375

Transmission statistics and focusing in single disordered samples

Matthieu Davy, Zhou Shi, Jing Wang, and Azriel Z. Genack  »View Author Affiliations


Optics Express, Vol. 21, Issue 8, pp. 10367-10375 (2013)
http://dx.doi.org/10.1364/OE.21.010367


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Abstract

We show in microwave experiments and random matrix calculations that in samples with a large number of channels the statistics of transmission for different incident channels relative to the average transmission is determined by a single parameter, the participation number of the eigenvalues of the transmission matrix, M. Its inverse, M-1, is equal to the variance of relative total transmission of the sample, while the contrast in maximal focusing is equal to M. The distribution of relative total transmission changes from Gaussian to negative exponential over the range in which M-1 changes from 0 to 1. This provides a framework for transmission and imaging in single samples.

© 2013 OSA

OCIS Codes
(030.6600) Coherence and statistical optics : Statistical optics
(290.7050) Scattering : Turbid media

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: March 6, 2013
Revised Manuscript: April 15, 2013
Manuscript Accepted: April 16, 2013
Published: April 19, 2013

Citation
Matthieu Davy, Zhou Shi, Jing Wang, and Azriel Z. Genack, "Transmission statistics and focusing in single disordered samples," Opt. Express 21, 10367-10375 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-8-10367


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