Soliton modes, stability, and drift in optical lattices with spatially modulated nonlinearity

Abstract

We put forward new properties of lattice solitons in materials and geometries where both, the linear refractive index and the nonlinearity are spatially modulated. We show that the interplay between linear and out-of-phase nonlinear refractive index modulations results in new soliton properties, including modifications of the soliton stability and transverse mobility, as well as shape transformations that may be controlled, e.g., by varying the light intensity.

12 pages, 4 figures, to appear in Optics Letters

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• Modulated Amplitude Waves in Collisionally Inhomogeneous Bose-Einstein Condensates
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Cited by in corpus (29)

• Solitons in nonlinear lattices
• Solitons in combined linear and nonlinear lattice potentials
• Bright solitons from defocusing nonlinearities
• Algebraic bright and vortex solitons in defocusing media
• Stable two-dimensional solitons in nonlinear lattices
• One-dimensional gap solitons in quintic and cubic-quintic Fractional nonlinear Schrödinger equations with a periodically modulated linear potential
• Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension
• Vector solitons in nonlinear lattices
• Bright solitons in defocusing media with spatial modulation of the quintic nonlinearity
• Light bullets in Bessel optical lattices with spatially modulated nonlinearity
• Stabilization of multi-beam necklace solitons in circular arrays with spatially modulated nonlinearity
• Solitons supported by spatially inhomogeneous nonlinear losses
• 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
• Matter-wave 2D solitons in crossed linear and nonlinear optical lattices
• Suppression of the critical collapse for one-dimensional solitons by saturable quintic nonlinear lattices
• Double symmetry breaking of solitons in one-dimensional virtual photonic crystals
• Stable two-dimensional solitons supported by radially inhomogeneous self-focusing nonlinearity
• Solitons supported by singular spatial modulation of the Kerr nonlinearity
• Solitons and vortices in nonlinear potential wells
• Enhanced mobility of quantum droplets in periodic lattices
• Quasi-compactons in inverted nonlinear photonic crystals
• Stable dipole solitons and soliton complexes in the nonlinear Schrodinger equation with periodically modulated nonlinearity
• Asymmetric localized states in periodic potentials with a domain wall-like Kerr nonlinearity
• Asymmetric soliton mobility in competing linear-nonlinear PT-symmetric lattices
• Instabilities of a Bose-Einstein condensate with mixed nonlinear and linear lattices
• Optical Solitons in a Trinal-channel Inverted Nonlinear Photonic Crystal
• Two-dimensional vector solitons stabilized by a linear or nonlinear lattice acting in one component
• Soliton Propagation through a Disordered System: Statistics of the Transmission Delay