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Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice

Dumitru MihalacheICFO-Institut de Ciencies Fotoniques and Department of Signal Theory and Communications, Universitat Politecnica de Catalunya, 08034 Barcelona, SpainDumitru MaziluDepartment of Theoretical Physics, Institute of Atomic Physics, P.O. Box MG-6, Bucharest, RomaniaF. LedererInstitute of Solid State Theory and Theoretical Optics, Friedrich-Schiller Universität Jena, Max-Wien-Platz 1, D-077743 Jena, GermanyYaroslav V. KartashovDepartment of Physics, M. V. Lomonosov Moscow State University, Moscow, RussiaL.-C. CrasovanDepartment of Theoretical Physics, Institute of Atomic Physics, P.O. Box MG-6, Bucharest, RomaniaLluís TornerICFO-Institut de Ciencies Fotoniques and Department of Signal Theory and Communications, Universitat Politecnica de Catalunya, 08034 Barcelona, Spain
2004en
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We investigate the existence and stability of three-dimensional spatiotemporal solitons in self-focusing cubic Kerr-type optical media with an imprinted two-dimensional harmonic transverse modulation of the refractive index. We demonstrate that two-dimensional photonic Kerr-type nonlinear lattices can support stable one-parameter families of three-dimensional spatiotemporal solitons provided that their energy is within a certain interval and the strength of the lattice potential, which is proportional to the refractive index modulation depth, is above a certain threshold value.

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