Soliton dynamics in modulated Bessel photonic lattices

Abstract

We address the existence and the controlled stability of two-dimensional solitons in modulated Bessel lattices (MBL) induced by a superposition of nondiffracting Bessel beams. We show that variation of the modulation parameter of the lattice and the initial transverse momentum of the soliton significantly modify the behavior of the solitons. We find that, under suitable and well-identified conditions, solitons propagating in the MBL exhibit six regimes of transverse mobility: stationary, oscillatory, rotating, unbounded or escape, transitional, and unstable. These results report propagating solitons that can develop these dynamics of transverse motion.

Nonlinear lattice structures based on families of complex nondiffracting beams

“…A subsequent waveguiding experiment (figure 4(f)) proves the induction of a photorefractive Bessel lattice in a SBN crystal using the nondiffracting light beam ( figure 4(d)). Such an optical potential can for example provide the environment for complex spatial soliton dynamics [27].…”

“…4d). Such an optical potential can for example provide the environment for complex spatial soliton dynamics [27].…”