Triple bound states of the cubic-quintic CGL equation: the "Cis" symmetry

H. Leblond; A. Komarova; M. Salhi; A. Haboucha; F. Sanchez

doi:10.1117/12.756826

1 August 2007 Triple bound states of the cubic-quintic CGL equation: the "Cis" symmetry

H. Leblond, A. Komarova, M. Salhi, A. Haboucha, F. Sanchez

Proceedings Volume 6785, ROMOPTO 2006: Eighth Conference on Optics; 67850I (2007) https://doi.org/10.1117/12.756826
Event: ROMOPTO 2006: Eighth Conference on Optics, 2006, Sibiu, Romania

Abstract

We investigate triplet bound-states with a new symmetry, called "cis", using the cubic-quintic CGL equation. We show that the leading term of the functional J[ψ], which governs the evolution of the momentum of the solution to the CGL equation, vanishes for the cis symmetry. Numerical investigation show that stable cis triplet bound states are solutions of the CGL equation. Quasi-stable cis states are also found, and also a stable quasi-stationary asymmetrical triple state. Then we show that it is possible to experimentally distinguish between the trans and cis triplet states, using either the optical spectrum or the collinear autocorrelation trace.

Citation Download Citation

H. Leblond, A. Komarova, M. Salhi, A. Haboucha, and F. Sanchez "Triple bound states of the cubic-quintic CGL equation: the "Cis" symmetry", Proc. SPIE 6785, ROMOPTO 2006: Eighth Conference on Optics, 67850I (1 August 2007); https://doi.org/10.1117/12.756826

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