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Temporal Soliton “Molecules” in Mode-Locked Lasers: Collisions, Pulsations, and Vibrations

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Dissipative Solitons: From Optics to Biology and Medicine

Part of the book series: Lecture Notes in Physics ((LNP,volume 751))

Abstract

A few years after the discovery of the stable dissipative soliton pairs in passively mode-locked lasers, a large variety of multi-soliton complexes were studied in both experiments and numerical simulations, revealing interesting new behaviors. This chapter focuses on the following three subjects: collisions between dissipative solitons, pulsations of dissipative solitons, and vibrations of soliton pairs. Different outcomes of collisions between a soliton pair and a soliton singlet are discussed, showing possible experimental control in the formation or dissociation of ‘soliton molecules’. Long-period pulsations of single and multiple dissipative solitons are presented as limit cycles and observed experimentally. Finally, one possible manifestation of long-period pulsation for a soliton pair results in a vibrational motion. All these behaviors that enrich the life of multi-soliton complexes make them akin to molecules. However, the analogy has clear limitations, since these ‘soliton molecules’ are inherently strongly dissipative and require a sustained energy supply from the gain medium.

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Authors and Affiliations

  1. Institut Carnot de Bourgogne, UMR 5209 CNRS, Université de Bourgogne, BP 47 870, F-21078 Dijon Cedex, France

    P. Grelu

  2. Instituto de óptica, C.S.I.C, Serrano 121, 28006 Madrid, Spain

    J.M. Soto-Crespo

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  1. P. Grelu
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Grelu, P., Soto-Crespo, J. (2008). Temporal Soliton “Molecules” in Mode-Locked Lasers: Collisions, Pulsations, and Vibrations. In: Dissipative Solitons: From Optics to Biology and Medicine. Lecture Notes in Physics, vol 751. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78217-9_6

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  • DOI: https://doi.org/10.1007/978-3-540-78217-9_6

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