Published December 10, 2007
| Published
Journal Article
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Airy-Gauss beams and their transformation by paraxial optical systems
Chicago
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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.
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.Attached Files
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Additional details
- Eprint ID
- 9542
- Resolver ID
- CaltechAUTHORS:BANoe07
- Consejo Nacional de Ciencia y Tecnología (CONACYT)
- 42808
- Tecnológico de Monterrey
- CAT-007
- Secretaría de Educación Pública (SEP)
- Created
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2008-01-31Created from EPrint's datestamp field
- Updated
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2019-11-06Created from EPrint's last_modified field