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Spatiotemporal discrete Ginzburg-Landau solitons in two-dimensional photonic lattices

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Abstract

In the framework of the continuous-discrete cubic-quintic Ginzburg-Landau model, spatiotemporal dissipative solitons which are highly confined inside two-dimensional photonic lattices are found numerically. The domains of existence in the relevant parameter space, of in-phase (unstaggered) on-site (single-peaked), inter-site (double-peaked), and flat-top-like (four-peaked) spatiotemporal dissipative solitons are determined. We show that the on-site solitons are stable in the whole domain of their existence and we find the stability domains of both inter-site and flat-top-like solitons. We describe the complex instability-induced scenarios of the dynamics of spatiotemporal discrete Ginzburg-Landau solitons in two-dimensional photonic lattices.

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Authors and Affiliations

  1. Horia Hulubei National Institute for Physics and Nuclear Engineering (IFIN-HH), 407 Atomistilor, 077125, Magurele-Bucharest, Romania

    D. Mihalache & D. Mazilu

  2. Institute of Solid State Theory and Theoretical Optics, Friedrich-Schiller Universität Jena, Max-Wien-Platz 1, 07743, Jena, Germany

    F. Lederer

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  1. D. Mihalache
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  2. D. Mazilu
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  3. F. Lederer
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Correspondence to D. Mihalache.

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Mihalache, D., Mazilu, D. & Lederer, F. Spatiotemporal discrete Ginzburg-Landau solitons in two-dimensional photonic lattices. Eur. Phys. J. Spec. Top. 173, 255–266 (2009). https://doi.org/10.1140/epjst/e2009-01078-6

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