Bandres, Miguel A. and Lopez-Mago, Dorilian and Gutiérrez-Vega, Julio C. (2010) Higher-order moments and overlaps of rotationally symmetric beams. Journal of Optics A: Pure and Applied Optics, 12 (1). Art. No. 015706 . ISSN 1464-4258. doi:10.1088/2040-8978/12/1/015706. https://resolver.caltech.edu/CaltechAUTHORS:20100129-153413144
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Abstract
We introduce a closed-form expression for the overlap between two different circular beams (CiBs) with azimuthal symmetry. A full description of the propagation of the higher-order moments of the CiBs through paraxial ABCD systems is presented. Our formalism can be easily applied to calculate relevant beam parameters such as the normalization constants, the M^2 factors, the kurtosis parameters, the expansion coefficients of the CiBs, and therefore of all its relevant special cases, including the standard, elegant, and generalized Laguerre–Gaussian beams, Bessel–Gaussian beams, hypergeometric–Gaussian beams, quadratic Bessel–Gaussian beams, and optical vortex beams, among others.
Item Type: | Article | ||||||
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Additional Information: | © 2010 IOP Publishing Ltd. Received 18 August 2009, accepted for publication 25 September 2009. Published 25 November 2009. We acknowledge support from Consejo Nacional de Ciencia y Tecnologıa (grant 82407) and from the Tecnologico de Monterrey (grant CAT-141). | ||||||
Group: | Caltech Theory | ||||||
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Subject Keywords: | rotationally symmetric beams, intensity moments, M2 factor, kurtosis, Appell hypergeometric functions | ||||||
Issue or Number: | 1 | ||||||
DOI: | 10.1088/2040-8978/12/1/015706 | ||||||
Record Number: | CaltechAUTHORS:20100129-153413144 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20100129-153413144 | ||||||
Official Citation: | Higher-order moments and overlaps of rotationally symmetric beams Miguel A Bandres, Dorilian Lopez-Mago and Julio C Gutiérrez-Vega 2010 J. Opt. 12 015706 (10pp) doi: 10.1088/2040-8978/12/1/015706 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 17358 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | Tony Diaz | ||||||
Deposited On: | 08 Feb 2010 19:58 | ||||||
Last Modified: | 08 Nov 2021 23:35 |
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