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Propagation characteristics of Cartesian Parabolic-Gaussian beams

Lopez-Mago, D. and Bandres, M. A. and Gutiérrez-Vega, J. C. (2010) Propagation characteristics of Cartesian Parabolic-Gaussian beams. In: Laser Beam Shaping XI. Proceedings of SPIE. No.7789. Society of Photo-Optical Instrumentation Engineers (SPIE) , Bellingham, WA, Art. No. 77890Q. ISBN 978-0-8194-8285-3. https://resolver.caltech.edu/CaltechAUTHORS:20161028-114857313

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Abstract

We study the propagating and shaping characteristics of the novel one-dimensional Cartesian Parabolic-Gaussian beams. The transverse profile is described by the parabolic cylinder functions and are apodized by a Gaussian envelope. Their physical properties are studied in detail by finding the 2n -order intensity moments of the beam. Propagation through complex ABCD optical systems, normalization factor, beam width, 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 Cartesian Parabolic-Gaussian beams carry finite power and form a biorthogonal set of solutions of the paraxial wave equation in Cartesian coordinates.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1117/12.859283DOIArticle
ORCID:
AuthorORCID
Bandres, M. A.0000-0002-7145-8567
Additional Information:© (2010) SPIE The International Society for Optical Engineering. We acknowledge support from Consejo Nacional de Ciencia y Tecnología (grant 82407) and from the Tecnolόgico de Monterrey (grant CAT-141).
Funders:
Funding AgencyGrant Number
Consejo Nacional de Ciencia y Tecnología (CONACYT)82407
Tecnolόgico de MonterreyCAT-141
Series Name:Proceedings of SPIE
Issue or Number:7789
Record Number:CaltechAUTHORS:20161028-114857313
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20161028-114857313
Official Citation:D. Lopez-Mago ; M. A. Bandres ; J. C. Gutiérrez-Vega; Propagation characteristics of Cartesian Parabolic-Gaussian beams. Proc. SPIE 7789, Laser Beam Shaping XI, 77890Q (August 16, 2010); doi:10.1117/12.859283.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:71575
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:28 Oct 2016 19:37
Last Modified:06 Nov 2019 22:36

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