Transmission through a many-channel random waveguide with absorption
摘要
We compute the statistical distribution of the transmittance of a random waveguide with absorption in the limit of many propagating channels. We consider the average and fluctuations of the conductance T = tr t^{\dagger} t, where t is the transmission matrix, the density of transmission eigenvalues \tau (the eigenvalues of t^{\dagger} t), and the distribution of the plane-wave transmittances T_a and T_{ab}. For weak absorption (length L smaller than the exponential absorption length \xi_a), we compute moments of the distributions, while for strong absorption (L >> \xi_a), we can find the complete distributions. Our findings explain recent experiments on the transmittance of random waveguides by Stoytchev and Genack [Phys. Rev. Lett. 79, 309 (1997)].
引用
@article{arxiv.cond-mat/9711113,
title = {Transmission through a many-channel random waveguide with absorption},
author = {P. W. Brouwer},
journal= {arXiv preprint arXiv:cond-mat/9711113},
year = {2009}
}
备注
13 pages, RevTeX; 9 figures included