Gaussian, Hermite-Gaussian, and Laguerre-Gaussian beams: A primer

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dc.creatorPampaloni, Francesco
dc.creatorEnderlein, Joerg
dc.date2004-10-04
dc.date.accessioned2026-07-07T05:52:47Z
dc.date.available2026-07-07T05:52:47Z
dc.descriptionThe paper aims at presenting a didactic and self-contained overview of Gauss-Hermite and Gauss-Laguerre laser beam modes. The usual textbook approach for deriving these modes is to solve the Helmoltz electromagnetic wave equation within the paraxial approximation. Here, a different technique is presented: Using the plane wave representation of the fundamental Gaussian mode as seed function, all higher-order beam modes are derived by acting with differential operators on this fundamental solution. Even special beam modes as the recently introduced Bessel beams are easily described within that framework.
dc.description29 pages, 4 figures. Submitted to Am. J. Phys
dc.identifierhttps://arxiv.org/abs/physics/0410021
dc.identifierhttp://arxiv.org/abs/physics/0410021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/86436
dc.subjectOptics
dc.titleGaussian, Hermite-Gaussian, and Laguerre-Gaussian beams: A primer
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