Stabilization of Spatiotemporal Dissipative Solitons in Multimode Fiber Lasers by External Phase Modulation

TL;DR

This paper presents a novel method for stabilizing three-dimensional spatiotemporal dissipative solitons in multimode fiber lasers using external phase modulation and a confinement potential, enabling higher energy coherent structures.

Contribution

It introduces a combined phase mode-locking and Kerr-lens approach with analytical and numerical analysis for stable soliton generation in complex systems.

Findings

Stable spatiotemporal solitons can be achieved with combined phase modulation and confinement.

The method enhances energy scalability of solitons in multimode fibers.

Analytical and numerical solutions confirm the stability of the proposed solitons.

Abstract

In this work, we introduce a method for stabilizing spatiotemporal solitons. These solitons correspond to light bullets in multimode optical fiber lasers, energy-scalable waveguide oscillators and amplifiers, localized coherent patterns in Bose-Einstein condensates, etc. We show that a three-dimensional confinement potential, formed by a spatial transverse (radial) parabolic graded refractive index and dissipation profile, combined with quadratic temporal phase modulation, may permit the generation of stable spatiotemporal dissipative solitons. This corresponds to combining phase mode-locking with the distributed Kerr-lens mode-locking. Our study of the soliton characteristics and stability is based on analytical and numerical solutions of the generalized dissipative Gross-Pitaevskii equation. This approach could lead to higher energy (or condensate mass) harvesting in coherent spatio-temporal beam structures formed in multimode fiber lasers, waveguide oscillators, and weakly-dissipative Bose-Einstein condensates.