Variational approach to multimode nonlinear optical fibers
arXiv:2501.11058 · doi:10.1515/nanoph-2024-0591
Abstract
We analyze the spatiotemporal solitary waves of a graded-index multimode optical fiber with a parabolic transverse index profile. Using the nonpolynomial Schrödinger equation approach, we derive an effective one-dimensional Lagrangian associated with the Laguerre-Gauss modes with a generic radial mode number p and azimuthal index m. We show that the form of the equations of motion for any Laguerre-Gauss mode is particularly simple, and we derive the critical power for the collapse for every mode. By solving the nonpolynomial Schrödinger equation, we provide a comparison of the stationary mode profiles in the radial and temporal coordinates.
arXiv comment9 pages, 3 figures. Accepted for publication in Nanophotonics
References in corpus (16)
- Effective wave-equations for the dynamics of cigar-shaped and disc-shaped Bose condensates
- Physical meaning of the radial index of Laguerre-Gauss beams
- Deviation from one-dimensionality in stationary properties and collisional dynamics of matter-wave solitons
- Multidimensional solitons: Well-established results and novel findings
- Bose-condensed Bright Solitons under Transverse Confinement
- Lost and found: the radial quantum number of Laguerre-Gauss modes
- Critical numbers of attractive Bose-condensed atoms in asymmetric traps
- Stabilization of spatiotemporal solitons in Kerr media by dispersive coupling
- Interactions of solitons with a Gaussian barrier: Splitting and recombination in quasi-1D and 3D
- Observation of Multimode Solitons in Few-Mode Fiber
- Matter-wave vortices in cigar-shaped and toroidal waveguides
- Multimode soliton collisions in graded-index optical fibers
- Self-focusing of multiple interacting Laguerre-Gauss beams in Kerr media
- Collapse of triaxial bright solitons in atomic Bose-Einstein condensates
- Dynamics of three-dimensional spatiotemporal solitons in multimode waveguides
- Atomic soliton transmission and induced collapse in scattering from a narrow barrier