Correlation functions of impedance and scattering matrix elements in chaotic absorbing cavities
Abstract
Wave scattering in chaotic systems with a uniform energy loss (absorption) is considered. Within the random matrix approach we calculate exactly the energy correlation functions of different matrix elements of impedance or scattering matrices for systems with preserved or broken time-reversal symmetry. The obtained results are valid at any number of arbitrary open scattering channels and arbitrary absorption. Elastic enhancement factors (defined through the ratio of the corresponding variance in reflection to that in transmission) are also discussed.
Keywords
Cite
@article{arxiv.nlin/0506040,
title = {Correlation functions of impedance and scattering matrix elements in chaotic absorbing cavities},
author = {D. V. Savin and Y. V. Fyodorov and H. -J. Sommers},
journal= {arXiv preprint arXiv:nlin/0506040},
year = {2007}
}
Comments
10 pages, 2 figures (misprints corrected and references updated in ver.2); to appear in Acta Phys. Pol. A (Proceedings of the 2nd Workshop on Quantum Chaos and Localization Phenomena, May 19-22, 2005, Warsaw)