Models for optical solitons in the two-cycle regime
Pattern Formation and Solitons
2007-05-23 v1
Abstract
We derive model equations for optical pulse propagation in a medium described by a two-level Hamiltonian, without the use of the slowly varying envelope approximation. Assuming that the resonance frequency of the two-level atoms is either well above or well below the inverse of the characteristic duration of the pulse, we reduce the propagation problem to a modified Korteweg-de Vries or a sine-Gordon equation. We exhibit analytical solutions of these equations which are rather close in shape and spectrum to pulses in the two-cycle regime produced experimentally, which shows that soliton-type propagation of the latter can be envisaged.
Keywords
Cite
@article{arxiv.nlin/0411010,
title = {Models for optical solitons in the two-cycle regime},
author = {Herve Leblond and Francois Sanchez},
journal= {arXiv preprint arXiv:nlin/0411010},
year = {2007}
}