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Propagation of Whittaker-Gaussian beams

Lopez-Mago, Dorilian and Bandres, Miguel A. and Gutiérrez-Vega, Julio C. (2009) Propagation of Whittaker-Gaussian beams. In: Laser Beam Shaping X. Proceedings of SPIE. No.7430. Society of Photo-optical Instrumentation Engineers (SPIE) , Bellingham, WA, Art. No. 743013. ISBN 9780819477200. https://resolver.caltech.edu/CaltechAUTHORS:20180725-095812370

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Abstract

We study the propagating and shaping characteristics of the novel Whittaker-Gaussian beams (WGB). The transverse profile is described by the Whittaker functions. Their physical characteristics are studied in detail by finding the 2n-order intensity moments of the beam. Propagation through complex ABCD optical systems, normalization factor, beamwidth, the quality M^2 factor and its kurtosis parameter are derived. We discuss its behavior for different beam parameters and the relation between them. The WGBs carry finite power and form a biorthogonal set of solutions of the paraxial wave equation (PWE) in circular cylindrical coordinates.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1117/12.825282DOIArticle
ORCID:
AuthorORCID
Bandres, Miguel A.0000-0002-7145-8567
Additional Information:© 2009 Society of Photo-Optical Instrumentation Engineers (SPIE). We acknowledge support from Consejo Nacional de Ciencia y Tecnología (CONACYT) (grant 82407) and from the Tecnológico de Monterrey (grant CAT-141).
Funders:
Funding AgencyGrant Number
Consejo Nacional de Ciencia y Tecnología (CONACYT)82407
Tecnológico de MonterreyCAT-141
Subject Keywords:Paraxial wave equation; Bessel-Gauss beams; Laguerre-Gauss beams; ABCD systems; Beam propagation factor
Series Name:Proceedings of SPIE
Issue or Number:7430
Record Number:CaltechAUTHORS:20180725-095812370
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180725-095812370
Official Citation:Dorilian Lopez-Mago, Miguel A. Bandres, Julio C. Gutiérrez-Vega, "Propagation of Whittaker-Gaussian beams", Proc. SPIE 7430, Laser Beam Shaping X, 743013 (24 August 2009); doi: 10.1117/12.825282; https://doi.org/10.1117/12.825282
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88238
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:25 Jul 2018 17:34
Last Modified:06 Nov 2019 22:41

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