Abstract
We address the stability of light bullets supported by Bessel optical lattices with out-of-phase modulation of the linear and nonlinear refractive indices. We show that spatial modulation of the nonlinearity significantly modifies the shapes and stability domains of the light bullets. The addressed bullets can be stable, provided that the peak intensity does not exceed a critical value. We show that the width of the stability domain in terms of the propagation constant may be controlled by varying the nonlinearity modulation depth. In particular, we show that the maximum energy of the stable bullets grows with increasing nonlinearity modulation depth.
Highlights
V. Kartashov, "Light bullets in optical tandems," Opt. Lett
Since three-dimensional solitons in uniform cubic media suffer from supercritical collapse, addition of a linear lattice results in their stabilization only in a certain limited range of parameters. Under such conditions additional modulation of the cubic nonlinearity may dramatically affect the domains of existence and stability of the lattice-supported light bullets
We find that the maximum energy at which light bullets remain stable increases with the depth of the nonlinearity modulation
Summary
V. Kartashov, "Light bullets in optical tandems," Opt. Lett. "Stable threedimensional spatiotemporal solitons in a two-dimensional photonic lattice," Phys. "Stable spatiotemporal solitons in Bessel optical lattices," Phys. A. Malomed, "Two-dimensional solitons in the Gross-Pitaevskii equation with spatially modulated nonlinearity," Phys.
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