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Spatial Dissipative Solitons Under Convective and Absolute Instabilities in Optical Parametric Oscillators

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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

Optical parametric oscillators are sources for producing coherent and frequency-tunable light beams by using three-wave interaction in a nonlinear crystal. These are nonlinear optical cavities, in which spatial dissipative solitons can form spontaneously. In the first part, we show that patterns of periodic dissipative solitons are continuously generated in a regime of absolute instability, i.e., they spontaneously develop from localized perturbations of the unstable homogeneous steady state that separates the two stable states of an hysteresis cycle. The bifurcation occurs in a regime far from any modulational instability (Turing instability) and emphasizes the crucial role of localized perturbations in the formation of solitons. This constitutes the counterpart of Turing spontaneous modulations initiated by extended perturbations. In the second part, taking into account the coupling of non-local effects (walk-off) and diffraction leads to the appearance of an original nonlinear gradient term in the amplitude equation in a bistable regime, and this describes the near-threshold dynamics of intra-cavity fields. Our analytical investigations show the utmost importance of non-local effects in the nonlinear dependence of the frequency and velocity of dissipative solitons on their intensity. This makes it possible to explain the self-frequency shift, the slowing down and the nonlinear symmetry-breaking observed in the envelope of dissipative solitons emitted by the optical parametric oscillator.

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Authors and Affiliations

  1. Laboratoire de Physique des Lasers, Atomes et Molécules, UMR CNRS 8523 IRCICA, Centre d’Etudes et de Recherches Lasers et Applications (CERLA) FR CNRS 2416, Université des Sciences et Technologies de Lille, 59655 Villeneuve d’Ascq Cedex, France

    S. Coulibaly

  2. Laboratoire de Physique des Lasers, Atomes et Molécules, UMR CNRS 8523 IRCICA, Centre d’Etudes et de Recherches Lasers et Applications (CERLA) FR CNRS 2416, Université des Sciences et Technologies de Lille, 59655 Villeneuve d’Ascq Cedex, France

    C. Durniak

  3. Optical Sciences Group, Research School of Physical Sciences and Engineering, Australian National University, Canberra, ACT 0200, Australia

    C. Durniak

  4. Laboratoire de Physique des Lasers, Atomes et Molécules, UMR CNRS 8523 IRCICA, Centre d’Etudes et de Recherches Lasers et Applications (CERLA) FR CNRS 2416, Université des Sciences et Technologies de Lille, 59655 Villeneuve d’Ascq Cedex, France

    M. Taki

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Coulibaly, S., Durniak, C., Taki, M. (2008). Spatial Dissipative Solitons Under Convective and Absolute Instabilities in Optical Parametric Oscillators. 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_10

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  • DOI: https://doi.org/10.1007/978-3-540-78217-9_10

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