Transmission statistics and focusing in single disordered samples

Transmission statistics and focusing in single disordered samples

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...

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Veröffentlicht in:Optics express 2013-04, Vol.21 (8), p.10367-10375
Hauptverfasser: Davy, Matthieu, Shi, Zhou, Wang, Jing, Genack, Azriel Z
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Computer Simulation
Microwaves
Models, Statistical
Scattering, Radiation
Telecommunications
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container_end_page 10375
container_issue 8
container_start_page 10367
container_title Optics express
container_volume 21
creator Davy, Matthieu
Shi, Zhou
Wang, Jing
Genack, Azriel Z
description 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.
doi_str_mv 10.1364/oe.21.010367
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subjects Computer Simulation
Microwaves
Models, Statistical
Scattering, Radiation
Telecommunications
title Transmission statistics and focusing in single disordered samples
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