Laguerre–Gaussian modes become elegant after an azimuthal phase modulation

Cocotos, Vasilios, Mkhumbuza, Light, Forbes, Kayn A., de Mello Koch, Robert, Dudley, Angela and Nape, Isaac (2025) Laguerre–Gaussian modes become elegant after an azimuthal phase modulation. Optics Letters, 50 (6). pp. 1913-1916. ISSN 0146-9592

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Abstract

Laguerre–Gaussian (LG) modes are solutions of the paraxial Helmholtz equation in cylindrical coordinates and are associated with light fields carrying orbital angular momentum (OAM). It is customary to modulate such beams using phase-only vortex profiles, e.g. when increasing (laddering up) or decreasing (laddering down) the OAM content of some given LG mode. However, the resulting beams have been shown to be hypergeometric-Gaussian modes, due to the changing radial amplitudes on propagation. In this work, we show that these beams in fact have the angular spectrum of a set of modes known as elegant Laguerre–Gaussian (eLG) modes, which map back to LG-type modes more intuitively than hypergeometric-Gaussian modes. Accordingly, the fields obtain new OAM and radial quantum numbers that depend on the initial OAM and additional OAM gained during modulation.

Item Type:	Article
Additional Information:	Data availability statement: Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request. Funding information: Optica (University of Witwatersrand Emerging Leader in Quantum Optics Chair); South African Quantum Initiative (SAQuTI); DSI Rentalpool Programme.
Faculty \ School:	Faculty of Science > School of Chemistry, Pharmacy and Pharmacology
Depositing User:	LivePure Connector
Date Deposited:	10 Mar 2025 12:30
Last Modified:	10 Mar 2025 12:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/98726
DOI:	10.1364/OL.547825

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