https://doi.org/10.1140/epjst/e2016-60020-x
Review
Few-cycle solitons in supercontinuum generation dynamics
1 LUNAM Université, Université d'Angers, Laboratoire de Photonique d'Angers, EA 4464, 2 Boulevard Lavoisier, F-49045 Angers Cedex 01, France
2 Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR 6303 CNRS, Université Bourgogne Franche-Comté, 9 avenue A. Savary, BP 47870, F-21078 Dijon Cedex, France
3 Horia Hulubei National Institute for Physics and Nuclear Engineering, 30 Reactorului, Magurele, 077125 Bucharest, Romania
4 Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania
5 Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, 23000 Annaba, Algeria
a e-mail: herve.leblond@univ-angers.fr
Received: 2 February 2016
Revised: 16 May 2016
Published online: 22 November 2016
We review several propagation models that do not rely on the slowly-varying-envelope approximation (SVEA), and can thus be considered as fundamental models addressing the formation and propagation of few-cycle pulsed field structures and solitary waves arising in the course of intense ultrashort optical pulse evolution in nonlinear media and beyond octave-bandwidth optical spectrum broadening. These generic models are: the modified-Korteweg-de Vries (mKdV), the sine-Gordon (sG), and the mixed mKdV-sG equations. To include wave polarization dynamics, the vector extensions of both mKdV and sG equations are introduced. Multi-octave-spanning supercontinuum generation and few-cycle soliton structures are highlighted from numerical simulations.
© EDP Sciences, Springer-Verlag, 2016
