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Updated: May 16, 2025

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
Published on: March 20, 2017
Variational approach to multimode nonlinear optical fibers
Francesco Lorenzi1, Luca Salasnich1,2,3
1Dipartimento di Fisica e Astronomia "Galileo Galilei", Università di Padova, INFN Sezione di Padova, Via Marzolo 8, 35131, Padova, Italy.
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.
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