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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

The 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.
29 pages, 4 figures. Submitted to Am. J. Phys

Keywords

Optics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/86436

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/physics/0410021
 http://arxiv.org/abs/physics/0410021

Collections

arXiv