Parametric amplification of random lattice soliton swinging

TL;DR

This paper investigates how small transverse oscillations of solitons in periodically modulated media can be parametrically amplified under specific resonance conditions, highlighting a new mechanism for controlling soliton dynamics.

Contribution

It introduces the concept of parametric amplification of soliton oscillations in media with fluctuating refractive index modulations, a novel approach in soliton control.

Findings

Small transverse soliton oscillations can be amplified under resonance conditions.

Parametric amplification depends on the fluctuation of the modulation depth.

Resonance conditions enable control over soliton dynamics.

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.