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Elliptical beams

Bandres, Miguel A. and Gutiérrez-Vega, Julio C. (2008) Elliptical beams. Optics Express, 16 (25). pp. 21087-21092. ISSN 1094-4087. https://resolver.caltech.edu/CaltechAUTHORS:BANoe08

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1364/OE.16.021087DOIArticle
http://www.opticsinfobase.org/abstract.cfm?URI=oe-16-25-21087PublisherArticle
ORCID:
AuthorORCID
Bandres, Miguel A.0000-0002-7145-8567
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.
Funders:
Funding AgencyGrant Number
Tecnologico de MonterreyCAT141
Consejo Nacional de Ciencia y Tecnología (CONACYT)82407
Secretaría de Educación Pública (SEP)UNSPECIFIED
Subject Keywords:INCE-GAUSSIAN MODES; STABLE RESONATORS; GENERATION; LASERS; EQUATION.
Issue or Number:25
Classification Code:OCIS Codes: (050.1940) Diffraction and gratings: Diffraction; (260.1960) Physical optics : Diffraction theory ; (350.5500) Other areas of optics : Propagation
Record Number:CaltechAUTHORS:BANoe08
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:BANoe08
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:13806
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:15 Jul 2009 22:36
Last Modified:06 Nov 2019 22:45

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