Distributed Kerr-Lens Mode-Locking Based on Spatiotemporal Dissipative Solitons in Multimode Fiber Lasers

Abstract

We introduce a mechanism of stable spatiotemporal soliton formation in a multimode fiber laser. This is based on spatially graded dissipation, leading to distributed Kerr-lens mode-locking. Our analysis involves solutions of a generalized dissipative Gross-Pitaevskii equation. This equation has a broad range of applications in nonlinear physics, including nonlinear optics, spatiotemporal patterns formation, plasma dynamics, and Bose-Einstein condensates. We demonstrate that careful control of dissipative and non-dissipative physical mechanisms results in the self-emergence of stable (2+1)-dimensional dissipative solitons. Achieving such a regime does not require the presence of any additional dissipative nonlinearities, such a mode-locker in a laser, or inelastic scattering in a Bose-Einstein condensate. Our method allows for stable energy (or "mass") harvesting by coherent localized structures, such as ultrashort laser pulses or Bose-Einstein condensates.

14 pages, 11 figures

References in corpus (3)

• Mechanisms of Spatiotemporal Mode-Locking
• Spatiotemporal self-similar fiber laser
• Spatiotemporal dissipative solitons and vortices in a multi-transverse-mode fiber laser

Cited by in corpus (4)

• Roadmap on spatiotemporal light fields
• A "metaphorical" nonlinear multimode fiber laser approach to weakly-dissipative Bose-Einstein condensates
• At the threshold of distributed Kerr-lens mode-locking in a Cr:ZnS waveguide laser
• Stabilization of Spatiotemporal Dissipative Solitons in Multimode Fiber Lasers by External Phase Modulation