Transmission through a many-channel random waveguide with absorption

P. W. Brouwer
Phys. Rev. B 57, 10526 – Published 1 May 1998
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Abstract

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=trtt, where t is the transmission matrix, the density of transmission eigenvalues τ (the eigenvalues of tt), and the distribution of the plane-wave transmittances Ta and Tab. For weak absorption (length L smaller than the exponential absorption length ξa), we compute moments of the distributions, while for strong absorption (Lξa), 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)].

  • Received 10 November 1997

DOI:https://doi.org/10.1103/PhysRevB.57.10526

©1998 American Physical Society

Authors & Affiliations

P. W. Brouwer*

  • Instituut-Lorentz, Leiden University, P.O. Box 9506, 2300 RA Leiden, The Netherlands
  • Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138

  • *Present address.

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Vol. 57, Iss. 17 — 1 May 1998

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