Limits of the uni-directional pulse propagation approximation
Optics
2008-07-24 v2
Abstract
I apply the method of characteristics to both bi-directional and uni-directional pulse propagation in dispersionless media containing nonlinearity of arbitrary order. The differing analytic predictions for the shocking distance quantify the effects of the uni-directional approximation used in many pulse propagation models. Results from numerical simulations support the theoretical predictions, and reveal the nature of the coupling between forward and backward waves.
Cite
@article{arxiv.0707.0986,
title = {Limits of the uni-directional pulse propagation approximation},
author = {P. Kinsler},
journal= {arXiv preprint arXiv:0707.0986},
year = {2008}
}
Comments
6 pages, 6 figures; this version contains an additional appendix not present in the published version