| Title: |
Four-wave mixing simulation in weakly nonlinear Bragg gratings using the grating dispersion operator in the nonlinear Schrödinger equation |
| Authors: |
David, Timothé; Kockaert, Pascal; Clemmen, Stéphane |
| Source: |
Optics express, 33 (25 |
| Publication Year: |
2025 |
| Collection: |
DI-fusion : dépôt institutionnel de l'Université libre de Bruxelles (ULB) |
| Subject Terms: |
Optique; Coupled mode theory; Fiber Bragg gratings; Frequency combs; Phase shift; Photonic crystals; Waveguide gratings |
| Description: |
While the nonlinear Shr"odinger 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 $gamma$PL ANDlt; 2$pi$, 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. ; SCOPUS: ar.j ; info:eu-repo/semantics/published |
| Document Type: |
article in journal/newspaper |
| File Description: |
1 full-text file(s): application/pdf |
| Language: |
French |
| Relation: |
uri/info:doi/10.1364/OE.572984; uri/info:pmid/41414479; uri/info:scp/105024855887 |
| Availability: |
https://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/398044; https://dipot.ulb.ac.be/dspace/bitstream/2013/398044/3/oe-33-25-53182.pdf |
| Accession Number: |
edsbas.B6983317 |
| Database: |
BASE |