Bandres, Miguel A. and Gutiérrez-Vega, Julio C. (2008) Circular beams. Optics Letters, 33 (2). pp. 177-179. ISSN 0146-9592. https://resolver.caltech.edu/CaltechAUTHORS:BANol08
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Abstract
A very general beam solution of the paraxial wave equation in circular cylindrical coordinates is presented. We call such a field a circular beam (CiB). The complex amplitude of the CiB is described by either the Whittaker functions or the confluent hypergeometric functions and is characterized by three parameters that are complex in the most general situation. The propagation through complex ABCD optical systems and the conditions for square integrability are studied in detail. Special cases of the CiB are the standard, elegant, and generalized Laguerre-Gauss beams; Bessel-Gauss beams; hypergeometric beams; hypergeometric-Gaussian beams; fractional-order elegant Laguerre-Gauss beams; quadratic Bessel-Gauss beams; and optical vortex beams.
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| Additional Information: | © 2008 Optical Society of America. Received November 8, 2007; revised December 4, 2007; accepted December 5, 2007; posted December 10, 2007 (Doc. ID 89560); published January 11, 2008. We acknowledge support from Consejo Nacional de Ciencia y Tecnología (grant 42808), the Tecnológico de Monterrey (grant CAT-007), and the Secretaría de Educación Pública de México. | ||||||||
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| Subject Keywords: | Paraxial wave optics; Diffraction theory; ABCD transforms | ||||||||
| Issue or Number: | 2 | ||||||||
| Record Number: | CaltechAUTHORS:BANol08 | ||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:BANol08 | ||||||||
| Official Citation: | M. A. Bandres and J. C. Gutiérrez-Vega, "Circular beams," Opt. Lett. 33, 177-179 (2008) http://www.opticsinfobase.org/abstract.cfm?URI=ol-33-2-177 | ||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||
| ID Code: | 9727 | ||||||||
| Collection: | CaltechAUTHORS | ||||||||
| Deposited By: | Archive Administrator | ||||||||
| Deposited On: | 11 Mar 2008 | ||||||||
| Last Modified: | 06 Nov 2019 22:51 |
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