title: Transmission statistics and focusing in single disordered samples.
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.
authors.affiliation: Department of Physics, Queens College of the City University of New York, Flushing, NY 11367, USA.
authors.forename: Matthieu
authors.initials: M
authors.lastname: Davy
authors.forename: Zhou
authors.initials: Z
authors.lastname: Shi
authors.forename: Jing
authors.initials: J
authors.lastname: Wang
authors.forename: Azriel Z
authors.initials: AZ
authors.lastname: Genack
mesh_terms: D003198:Computer Simulation; D008872:Microwaves; D015233:Models, Statistical; D012542:Scattering, Radiation; D013685:Telecommunications