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Article Dans Une Revue Optics Express Année : 2013

Transmission statistics and focusing in single disordered samples

Zhou Shi
Jing Wang
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  • PersonId : 1004603
Azriel Genack
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  • PersonId : 832386

Résumé

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.

Dates et versions

hal-00947171 , version 1 (14-02-2014)

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Matthieu Davy, Zhou Shi, Jing Wang, Azriel Genack. Transmission statistics and focusing in single disordered samples. Optics Express, 2013, 21 (8), pp.10367-10375. ⟨10.1364/OE.21.010367⟩. ⟨hal-00947171⟩
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