Power-dependent shaping of vortex solitons in optical lattices with spatially modulated nonlinear refractive index

Abstract

We address vortex solitons supported by optical lattices featuring modulation of both the linear and nonlinear refractive indices. We find that when the modulation is out-of-phase the competition between both effects results in remarkable shape transformations of the solitons which profoundly affect their properties and stability. Nonlinear refractive index modulation is found to impose restrictions on the maximal power of off-site solitons, which are shown to be stable only below a maximum nonlinearity modulation depth.

arXiv comment11 pages, 3 figures, to appear in Optics Letters

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• Stabilization of multi-beam necklace solitons in circular arrays with spatially modulated nonlinearity
• Stabilization of two-dimensional solitons in cubic-saturable nonlinear lattices
• Matter-wave solitons and finite-amplitude Bloch waves in optical lattices with a spatially modulated nonlinearity
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• Soliton dynamics at an interface between uniform medium and nonlinear optical lattice
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• Exact solutions for periodic and solitary matter waves in nonlinear lattices