Models for optical solitons in the two-cycle regime

2003/01/23 by Herve Leblond, Hervé Leblond, Francois Sanchez +1 · 2 citations
Physics and Astronomy · #Advanced Fiber Laser Technologies #Laser-Matter Interactions and Applications #Nonlinear Photonic Systems #nlin.PS

paper · pdf · doi:10.1103/physreva.67.013804

published as Physical Review A 67 (2003) 013804

openalex publication_date 2003/01/23 · arxiv created 2004/11/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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