Filtering Random Matrices: The Effect of Incomplete Channel Control in Multiple Scattering

A. Goetschy and A. D. Stone
Phys. Rev. Lett. 111, 063901 – Published 5 August 2013
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Abstract

We present an analytic random matrix theory for the effect of incomplete channel control on the measured statistical properties of the scattering matrix of a disordered multiple-scattering medium. When the fraction of the controlled input channels, m1, and output channels, m2, is decreased from unity, the density of the transmission eigenvalues is shown to evolve from the bimodal distribution describing coherent diffusion, to the distribution characteristic of uncorrelated Gaussian random matrices, with a rapid loss of access to the open eigenchannels. The loss of correlation is also reflected in an increase in the information capacity per channel of the medium. Our results have strong implications for optical and microwave experiments on diffusive scattering media.

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  • Received 19 April 2013

DOI:https://doi.org/10.1103/PhysRevLett.111.063901

© 2013 American Physical Society

Authors & Affiliations

A. Goetschy* and A. D. Stone

  • Department of Applied Physics, Yale University, New Haven, Connecticut 06520, USA

  • *Corresponding author. arthur.goetschy@yale.edu

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Issue

Vol. 111, Iss. 6 — 9 August 2013

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