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Higher-order moments and overlaps of rotationally symmetric beams

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 . http://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
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1088/2040-8978/12/1/015706 DOIUNSPECIFIED
http://www.iop.org/EJ/abstract/2040-8986/12/1/015706/PublisherUNSPECIFIED
http://stacks.iop.org/JOpt/12/015706PublisherUNSPECIFIED
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
Funders:
Funding AgencyGrant Number
Consejo Nacional de Ciencia y Tecnologıa82407
Tecnologico de MonterreyCAT-141
Subject Keywords:rotationally symmetric beams, intensity moments, M2 factor, kurtosis, Appell hypergeometric functions
Record Number:CaltechAUTHORS:20100129-153413144
Persistent URL:http://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 Mar 2013 22:03

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