Abstract
We address the impact of imprinted optical lattices on the mobility of a strongly nonlocal spatial optical soliton. With the aid of the Ehrenfest theorem in quantum mechanics, we obtain an equation of motion for the soliton center, and find its analytical solution. Comparison with numerical simulations shows that our analytical solution can describe the motion of the soliton center very well when the optical lattice period is much larger than the soliton width. It is found that there exists a critical angle that is a function of the optical lattice parameters. When its incident angle is smaller than the critical angle, the soliton is trapped within the waveguide induced by the optical lattices. Above the critical angle, the soliton leaves the central waveguide and propagates along its original direction traveling across the optical lattices. A way to control the soliton mobility is discussed based on the finding.
Published Version
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