The Effect of Resonances on Diffusive Scattering
Disordered Systems and Neural Networks
2009-10-31 v1
Abstract
The presence of resonances modifies the passage of light or of electrons through a disordered medium. We generalize random matrix theory to account for this effect. Using supersymmetry, we calculate analytically the mean density of states, and the effective Lagrangean of the generating functional for the two-point function. We show that the diffusion constant scales with the effective mean level spacing. The latter exhibits a resonance dip. These facts allow us to interpret experimental results on light scattering for different concentrations of resonant scatterers.
Cite
@article{arxiv.cond-mat/9803115,
title = {The Effect of Resonances on Diffusive Scattering},
author = {B. Elattari and V. Kagalovsky and H. A. Weidenmueller},
journal= {arXiv preprint arXiv:cond-mat/9803115},
year = {2009}
}
Comments
12 pages, 1 Figure, to be published in Physical Review B