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Shaping soliton properties in optical Mathieu lattices

Yaroslav V. Kartashov·Alexey A. Egorov·Victor A. Vysloukh·Lluis Torner
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Abstract

We address basic properties and stability of two-dimensional solitons in photonic lattices induced by the nondiffracting Mathieu beams. Such lattices allow for smooth topological transformation of radially symmetric Bessel lattices into quasi-one-dimensional periodic ones. The transformation of lattice topology drastically affects properties of ground-state and dipole-mode solitons, including their shape, stability and transverse mobility.

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Yaroslav V. Kartashov, Alexey A. Egorov, Victor A. Vysloukh, Lluis Torner. 2005-10-14. Shaping soliton properties in optical Mathieu lattices. https://doi.org/10.1364/ol.31.000238

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