1304.5562 (A. Goetschy et al.)

Filtering random matrices: The effect of imperfect channel control in
multiple-scattering    [PDF]

A. Goetschy, A. D. Stone

We present an analytic random matrix theory for the effect of imperfect channel control on the measured statistical properties of the scattering matrices 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.

View original: http://arxiv.org/abs/1304.5562