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Physics > Optics

arXiv:2411.07655 (physics)
[Submitted on 12 Nov 2024]

Title:Laguerre-Gaussian modes become elegant after an azimuthal phase modulation

Authors:Vasilios Cocotos, Light Mkhumbuza, Kayn A. Forbes, Robert de Mello Koch, Angela Dudley, Isaac Nape
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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, for example, 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 elegant Laguerre-Gaussian (eLG) modes, and therefore map back to LG-type modes. Accordingly, the fields obtain new OAM and radial quantum numbers that depend on the initial OAM and additional OAM gained during modulation.
Comments: 4 pages, 2 figures
Subjects: Optics (physics.optics)
Cite as: arXiv:2411.07655 [physics.optics]
  (or arXiv:2411.07655v1 [physics.optics] for this version)
  https://doi.org/10.48550/arXiv.2411.07655

Submission history

From: Vasili Cocotos [view email]
[v1] Tue, 12 Nov 2024 09:10:09 UTC (21,245 KB)
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