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Airy-Gauss beams and their transformation by paraxial optical systems

Bandres, Miguel A. and Gutiérrez-Vega, Julio C. (2007) Airy-Gauss beams and their transformation by paraxial optical systems. Optics Express, 15 (25). pp. 16719-16728. ISSN 1094-4087. https://resolver.caltech.edu/CaltechAUTHORS:BANoe07

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Abstract

We introduce the generalized Airy-Gauss (AiG) beams and analyze their propagation through optical systems described by ABCD matrices with complex elements in general. The transverse mathematical structure of the AiG beams is form-invariant under paraxial transformations. The conditions for square integrability of the beams are studied in detail. The model of the AiG beam describes in a more realistic way the propagation of the Airy wave packets because AiG beams carry finite power, retain the nondiffracting propagation properties within a finite propagation distance, and can be realized experimentally to a very good approximation.


Item Type:Article
ORCID:
AuthorORCID
Bandres, Miguel A.0000-0002-7145-8567
Additional Information:© 2007 Optical Society of America. Original Manuscript: November 14, 2007. Manuscript Accepted: November 24, 2007. Revised Manuscript: November 23, 2007. Published: December 3, 2007. This research was supported by Consejo Nacional de Ciencia y Tecnología (grant 42808) and by Tecnológico de Monterrey (grant CAT007). M.A. Bandres acknowledge support from the Secretaría de Educación Pública of México. We also acknowledge the help of Cleve Moler, who provided us with an useful Matlab code to generate the plots in Fig. 3.
Funders:
Funding AgencyGrant Number
Consejo Nacional de Ciencia y Tecnología (CONACYT)42808
Tecnológico de MonterreyCAT-007
Secretaría de Educación Pública (SEP)UNSPECIFIED
Subject Keywords:ABCD transforms; Diffraction
Issue or Number:25
Record Number:CaltechAUTHORS:BANoe07
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:BANoe07
Alternative URL:http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-25-16719
Official Citation:M. A. Bandres and J. C. Gutiérrez-Vega, "Airy-Gauss beams and their transformation by paraxial optical systems," Opt. Express 15, 16719-16728 (2007) http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-25-16719
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9542
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:31 Jan 2008
Last Modified:06 Nov 2019 22:53

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