Phase space topology of four-wave mixing reconstructed by a neural network

The dynamics of ideal four-wave mixing in optical fiber is reconstructed by taking advantage of the combination of experimental measurements together with supervised machine learning strategies. The training data consist of power-dependent spectral phase and amplitude recorded at the output of a short fiber segment. The neural net-work is shown to be able to accurately predict the nonlinear dynamics over tens of kilometers, and to retrieve the main features of the phase space topology including multiple Fermi-Pasta-Ulam recurrence cycles and the system separatrix boundary. (c) 2022 Optica Publishing Group

Automated summary

The dynamics of ideal four-wave mixing in optical fiber is reconstructed using experimental measurements and supervised machine learning strategies. The neural network accurately predicts the nonlinear dynamics and retrieves the main features of the phase space topology.