One-Dimensional Kronig-Penney Model with Positional Disorder: Theory versus Experiment
Disordered Systems and Neural Networks
2010-06-07 v1
Abstract
We study the effects of random positional disorder in the transmission of waves in a 1D Kronig-Penny model. For weak disorder we derive an analytical expression for the localization length and relate it to the transmission coefficient for finite samples. The obtained results describe very well the experimental frequency dependence of the transmission in a microwave realization of the model. Our results can be applied both to photonic crystals and semiconductor super lattices.
Cite
@article{arxiv.0906.3973,
title = {One-Dimensional Kronig-Penney Model with Positional Disorder: Theory versus Experiment},
author = {G. A. Luna-Acosta and F. M. Izrailev and N. M. Makarov and U. Kuhl and H. -J. Stoeckmann},
journal= {arXiv preprint arXiv:0906.3973},
year = {2010}
}
Comments
9 pages, 6 figures