Work

Four-wave mixing simulation in weakly nonlinear Bragg gratings using the grating dispersion operator in the nonlinear Schrödinger equation

Year: 2025

Type: article

Abstract: While the nonlinear Shrödinger equation (NLSE) and its solving via the split-step Fourier method are well established when studying the Kerr interactions in waveguides, it is typically not applied when modeling a nonlinear interaction in a Bragg grating (BG). In that specific case, the solving of a set of coupled equations is preferred as they form the natural framework to deal with co- and contra-propagating waves. This, however, has limitations for input spectra much larger than this bandgap, e.g., for frequency combs or multispectral pump schemes. In order to deal with those in a Bragg grating, we adapt the usual NLSE solving via split-step Fourier by embedding the Bragg resonance into the dispersion operator. Although it requires that the total nonlinearity along the propagation remains moderate, i.e., the nonlinear phase shift γPL < 2 π , and the pump(s) frequency(ies) to be outside of the bandgap, this modeling allows us to retrieve established results and points towards the BG ability to tune and quench four-wave mixing processes.

Source: Optics Express

DOI: 10.1364/oe.572984

Authors: Timothé David, Pascal Kockaert, Stéphane Clemmen

Language: English

Topic: Nonlinear Photonic Systems

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,270

Funders: Fonds De La Recherche Scientifique - FNRS, Fonds pour la Formation à la Recherche dans l’Industrie et dans l’Agriculture

Awards: G2243042795, G2976047944, G5444244327