{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/radial-angular-coupling-in-self-phase","title":"Radial-angular coupling in self phase modulation with structured light","arxiv_id":"2403.04048","date":"2024-03-06","proceeding":null,"authors":["M. Gil de Oliveira","L. J. Pereira","A. S. Santos","K. Dechoum","A. Bramati","A. Z. Khoury"],"abstract":"In this work we study the evolution of an optical vortex undergoing self phase modulation inside a nonlinear Kerr medium. The intensity dependent phase evolution couples the angular and radial degrees of freedom of the input vortex, giving rise to a rich dynamics where new radial modes are created. In the short propagation range, this dynamics is well described by a perturbative approach, predicting the generation of modes with radial numbers between zero and the absolute value of the vortex topological charge. This prediction is confirmed by numerical simulations of the nonlinear propagation equation.","url_abs":"https://arxiv.org/abs/2403.04048v1","url_pdf":"https://arxiv.org/pdf/2403.04048v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"radial-angular-coupling-in-self-phase","repo_url":"https://github.com/marcsgil/radialangularcouplingkerr","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}