Average transmission probability of a random stack
Quantum Physics
2015-05-13 v1
Abstract
The transmission through a stack of identical slabs that are separated by gaps with random widths is usually treated by calculating the average of the logarithm of the transmission probability. We show how to calculate the average of the transmission probability itself with the aid of a recurrence relation and derive analytical upper and lower bounds. The upper bound, when used as an approximation for the transmission probability, is unreasonably good and we conjecture that it is asymptotically exact.
Keywords
Cite
@article{arxiv.0907.5557,
title = {Average transmission probability of a random stack},
author = {Yin Lu and Christian Miniatura and Berthold-Georg Englert},
journal= {arXiv preprint arXiv:0907.5557},
year = {2015}
}
Comments
10 pages, 6 figures