Non-linear supersymmetric Sigma-Model for Diffusive Scattering of Classical Waves with Resonance Enhancement
Disordered Systems and Neural Networks
2009-10-31 v1
Abstract
We derive a non-linear sigma-model for the transport of light (classical waves) through a disordered medium. We compare this extension of the model with the well-established non-linear sigma-model for the transport of electrons (Schroedinger waves) and display similarities of and differences between both cases. Motivated by experimental work (M. van Albada et al., Phys. Rev. Lett. 66 (1991) 3132), we then generalize the non-linear sigma-model further to include resonance scattering. We find that the form of the effective action is unchanged but that a parameter of the effective action, the mean level density, is modified in a manner which correctly accounts for the data.
Keywords
Cite
@article{arxiv.cond-mat/9803100,
title = {Non-linear supersymmetric Sigma-Model for Diffusive Scattering of Classical Waves with Resonance Enhancement},
author = {B. Elattari and V. Kagalovsky and H. A. Weidenmueller},
journal= {arXiv preprint arXiv:cond-mat/9803100},
year = {2009}
}
Comments
4 pages, 1 Figure, to be published in Europhysics Letters