Limits of the uni-directional pulse propagation approximation

Details Limits of the uni-directional pulse propagation approximation Limits of the uni-directional pulse propagation approximation

2007-07-06

arxiv.org/abs/0707.0986v2

J. Opt. Soc. Am. B 24, 2363-2368 (2007)

Physics

Optics

6 pages, 6 figures; this version contains an additional appendix not present in the published version

Scientific paper

10.1364/JOSAB.24.002363

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.

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