July 20th, 2020
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 pattern formation, plasma dynamics, and Bose-Einstein condensates. We demonstrate that the careful control of dissipative and nondissipative 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 as 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.
Kalashnikov, Vladimir L., Wabnitz, Stefan, “Distributed Kerr-lens mode locking based on spatiotemporal dissipative solitons in multimode fiber lasers,” PHYSICAL REVIEW A, vol. 102, p. 1-11 (2020) https://journals.aps.org/pra/abstract/10.1103/PhysRevA.102.023508