Parametric amplification of random lattice soliton swinging

Abstract

We consider the propagation of solitons in media with an imprinted transverse periodic or parabolic refractive index modulation when the modulation depth slightly fluctuates along the propagation direction. We find that, under suitable spectral resonance conditions, small transverse soliton oscillations may get parametrically amplified.

12 pages, 4 figures, to appear in Optics Letters

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