Power and momentum dependent soliton dynamics in lattices with longitudinal modulation

Abstract

Soliton dynamics in a large variety of longitudinally modulated lattices are studied in terms of phase space analysis for an effective particle approach and direct numerical simulations. Complex soliton dynamics are shown to depend strongly on both their power/width and their initial momentum as well as on lattice parameters. A rish set of qualitatively distinct dynamical features of soliton propagation that have no counterpart in longitudinally uniform lattices is illustrated. This set includes cases of enhanced soliton mobility, dynamical switching, extended trapping in several transverse lattice periods, and quasiperiodic trapping, which are promising for soliton control applications.

References in corpus (4)

• Bifurcations and stability of gap solitons in periodic potentials
• Resonant mode flopping in modulated waveguiding structures
• Diffraction-managed solitons and nonlinear beam diffusion in modulated arrays of optical waveguides
• Dynamics of matter-wave solitons in a ratchet potential

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• Tunneling inhibition for subwavelength light
• Orbital stability of standing waves for the nonlinear Schrödinger equation with attractive delta potential and double power repulsive nonlinearity
• Mode conversion in nonlinear waveguides stimulated by the longitudinal bi-harmonic refractive index modulation
• On stability properties of the Cubic-Quintic Schrodinger equation with delta-point interaction
• Efficient mode conversion in guiding structures with longitudinal modulation of nonlinearity