[HTML][HTML] Data-driven model discovery of ideal four-wave mixing in nonlinear fibre optics

AV Ermolaev, A Sheveleva, G Genty, C Finot… - Scientific Reports, 2022 - nature.com
We show using numerical simulations that data driven discovery using sparse regression
can be used to extract the governing differential equation model of ideal four-wave mixing in …

Idealized four-wave mixing dynamics in a nonlinear Schrödinger equation fiber system

A Sheveleva, U Andral, B Kibler, P Colman, JM Dudley… - Optica, 2022 - opg.optica.org
The observation of ideal four-wave mixing dynamics is notoriously difficult to implement
experimentally due to the generation of higher-order sidebands and optical loss, which limit …

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

A Sheveleva, P Colman, JM Dudley, C Finot - Optics Letters, 2022 - opg.optica.org
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 …

Physics of highly multimode nonlinear optical systems

LG Wright, FO Wu, DN Christodoulides, FW Wise - Nature Physics, 2022 - nature.com
Linear multimode optical systems have enabled clean experimental observations and the
applications of numerous phenomena that continually extend the boundaries of wave …

Collective modulation instability of multiple four-wave mixing

A Armaroli, S Trillo - Optics letters, 2011 - opg.optica.org
We investigate the modulation instability of multiple four-wave mixing arising from a dual-
frequency pump in a single-mode fiber or waveguide. By applying the Floquet theory on …

Dynamical evolution of multiple four-wave-mixing processes in an optical fiber

DL Hart, AF Judy, R Roy, JW Beletic - Physical Review E, 1998 - APS
We present unique results of detailed experimental and theoretical investigations of the
dynamical evolution of four-wave-mixing spectra in an optical fiber. The experimental …

Data-driven solutions and parameter discovery of the extended higher-order nonlinear Schrödinger equation in optical fibers

Y Zhang, X Lü - Physica D: Nonlinear Phenomena, 2024 - Elsevier
In this paper, we investigate an extended higher-order nonlinear Schrödinger equation that
includes third-order and fourth-order dispersion terms. By considering higher-order effects …

Direct observations of thermalization to a Rayleigh–Jeans distribution in multimode optical fibres

H Pourbeyram, P Sidorenko, FO Wu, N Bender… - Nature Physics, 2022 - nature.com
Nonlinear multimode optical systems support a host of intriguing effects that are impossible
in single-mode settings. Although nonlinearity can provide a rich environment where the …

Nonlinear dynamics of dual-frequency-pumped multiwave mixing in optical fibers

S Trillo, S Wabnitz, TAB Kennedy - Physical Review A, 1994 - APS
We investigate the nonlinear dynamics of dual-frequency-pumped four-wave mixing in both
the normal-and the anomalous-dispersion regime of optical fibers. We compare the exactly …

Temporal mode selectivity by frequency conversion in second-order nonlinear optical waveguides

DV Reddy, MG Raymer, CJ McKinstrie, L Mejling… - Optics express, 2013 - opg.optica.org
We explore theoretically the feasibility of using frequency conversion by sum-or difference-
frequency generation, enabled by three-wave-mixing, for selectively multiplexing orthogonal …