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.
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| 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. | ||||||||
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| Subject Keywords: | ABCD transforms; Diffraction | ||||||||
| Issue or Number: | 25 | ||||||||
| Record Number: | CaltechAUTHORS:BANoe07 | ||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:BANoe07 | ||||||||
| 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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