Few-cycle solitons in supercontinuum generation dynamics |
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Authors: | Hervé Leblond Philippe Grelu Dumitru Mihalache Houria Triki |
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Affiliation: | 1.LUNAM Université, Université d’Angers, Laboratoire de Photonique d’Angers,Angers Cedex 01,France;2.Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR 6303 CNRS, Université Bourgogne Franche-Comté,Dijon Cedex,France;3.Horia Hulubei National Institute for Physics and Nuclear Engineering,Bucharest,Romania;4.Academy of Romanian Scientists,Bucharest,Romania;5.Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University,Annaba,Algeria |
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Abstract: | 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. |
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