Published December 8, 2008
| Published
Journal Article
Open
Elliptical beams
Abstract
A very general beam solution of the paraxial wave equation in elliptic cylindrical coordinates is presented. We call such a field an elliptic beam (EB). The complex amplitude of the EB is described by either the generalized Ince functions or the Whittaker-Hill functions and is characterized by four 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 EB are the standard, elegant, and generalized Ince-Gauss beams, Mathieu-Gauss beams, among others.
Additional Information
© 2008 Optical Society of America. Received 29 Oct 2008; revised 27 Nov 2008; accepted 2 Dec 2008; published 4 Dec 2008. We acknowledge support from Tecnológico de Monterrey (grant CAT141), from Consejo Nacional de Ciencia y Tecnología (grant 82407), and from the Secretaría de Educación Pública de México.Attached Files
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Additional details
- Eprint ID
- 13806
- Resolver ID
- CaltechAUTHORS:BANoe08
- CAT141
- Tecnologico de Monterrey
- 82407
- Consejo Nacional de Ciencia y Tecnología (CONACYT)
- Secretaría de Educación Pública (SEP)
- Created
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2009-07-15Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field