Abstract

Breathing solitons, as localized wave packets with a periodic evolution in amplitude and duration, are able to model extreme wave events in complex nonlinear dispersive systems. We have numerically studied the formation and manipulation of graded-index breathing solitons embedded in nonlinear multimode fibers based on a single nonlinear Schrödinger equation that includes the spatial self-imaging effect through a periodically varying nonlinear parameter. Through changing specific parameters of the input optical field, we can manipulate the period and depth of graded-index breathing soliton dynamics under different relative strengths between the dispersion length and the self-imaging period of the multimode fiber. Our study can explicitly derive a robust mechanism to control the behavior of the breathing localized structure directly and contribute to a better understanding of the much more complex nonlinear graded-index soliton dynamics in multimode fibers.

Highlights

  • Multimode waveguides, benefiting from an additional and new dimension in optical wave propagation, can arise with much richer qualitatively-new physical behaviors than that provided by a single spatial mode equivalent

  • Based on the variational method, the propagation dynamics of optical pulses within a GRIN multimode fibers (MMFs) are modeled by a single nonlinear Schrödinger equation (NLSE) including the spatial self-imaging effect through a longitudinally varying nonlinear coefficient

  • Results show that the breathing soliton can be excited from a single Airy pulse inside a GRIN fiber under conditions where the dispersion length is much larger than or near the spatial selfimaging period

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Summary

Introduction

Multimode waveguides, benefiting from an additional and new dimension in optical wave propagation, can arise with much richer qualitatively-new physical behaviors than that provided by a single spatial mode equivalent. The propagation dynamics of nonlinear optical pulses in a graded-index (GRIN) MMF, featuring very low inter-modal group dispersion and controllable spatiotemporal nonlinear effects, have aroused increasing interest in recent years [15,16,17]. In light of these previous investigations, a better and deeper understanding of the nonlinear soliton dynamics in MMFs is imperative. We focus on forming and manipulating the typical localized wave packets of breathing soliton states in the nonlinear GRIN MMF system, aiming to present first insights into a fundamentally new type of multimode pulse dynamics. Our results constitute a significant contribution to the emerging field of the complex spatiotemporal multimode systems that attracts growing interest in recent years

Propagation model
GRIN breathing solitons shedding from a single Airy pulse
Conclusion
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