Transmission through a many-channel random waveguide with absorption

Details Transmission through a many-channel random waveguide with absorption Transmission through a many-channel random waveguide with absorption

1997-11-12

arxiv.org/abs/cond-mat/9711113v1

Phys. Rev. B 57, 10526 (1998)

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, RevTeX; 9 figures included

Scientific paper

10.1103/PhysRevB.57.10526

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)].

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