Transmission statistics and focusing in single disordered samples
Optics
2015-06-15 v1 Disordered Systems and Neural Networks
Statistical Mechanics
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.
Cite
@article{arxiv.1304.5383,
title = {Transmission statistics and focusing in single disordered samples},
author = {Matthieu Davy and Zhou Shi and Jing Wang and Azriel Z. Genack},
journal= {arXiv preprint arXiv:1304.5383},
year = {2015}
}
Comments
9 pages, 4 figures