Transmission statistics and focusing in single disordered samples

被引：25

作者：

Davy, Matthieu ^{[1
]}

Shi, Zhou ^{[1
,2
]}

Wang, Jing ^{[1
,2
]}

Genack, Azriel Z. ^{[1
,2
]}

机构：

[1] CUNY Queens Coll, Dept Phys, Flushing, NY 11367 USA

[2] CUNY, Grad Ctr, New York, NY 10016 USA

来源：

OPTICS EXPRESS | 2013年 / 21卷 / 08期

基金：

美国国家科学基金会;

关键词：

ANDERSON LOCALIZATION; MACROSCOPIC APPROACH; SCALING THEORY; MEDIA; DIFFUSION; FLUCTUATIONS; CONDUCTORS; SCATTERING; LATTICES; ABSENCE;

D O I：

10.1364/OE.21.010367

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

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. (C) 2013 Optical Society of America

引用

页码：10367 / 10375

页数：9

共 35 条

[1] SCALING THEORY OF LOCALIZATION - ABSENCE OF QUANTUM DIFFUSION IN 2 DIMENSIONS [J].