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Normalization of the Mathieu-Gauss optical beams

Gutiérrez-Vega, Julio C. and Bandres, Miguel A. (2007) Normalization of the Mathieu-Gauss optical beams. Journal of the Optical Society of America A, 24 (1). pp. 215-220. ISSN 1084-7529. https://resolver.caltech.edu/CaltechAUTHORS:GUTjosaa07

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Abstract

A series scheme is discussed for the determination of the normalization constants of the even and odd Mathieu-Gauss (MG) optical beams. We apply a suitable expansion in terms of Bessel-Gauss (BG) beams and also answer the question of how many BG beams should be used to synthesize a MG beam within a tolerance. The structure of the normalization factors ensures that MG beams will always be normalized independently of the particular normalization adopted for the Mathieu functions. In this scheme, the normalization constants are expressed as rapidly convergent series that can be calculated to an arbitrary precision.


Item Type:Article
ORCID:
AuthorORCID
Bandres, Miguel A.0000-0002-7145-8567
Additional Information:© 2006 Optical Society of America. Original Manuscript: June 15, 2006. Manuscript Accepted: July 27, 2006. Revised Manuscript: July 27, 2006. This research was partially supported by the Consejo Nacional de Ciencia y Tecnología of México grant 42808, and by the Tecnológico de Monterrey Research Chair in Optics grant CAT-007. M. A. Bandres acknowledges support from Secretaría de Educación Pública de México.
Funders:
Funding AgencyGrant Number
Consejo Nacional de Ciencia y Tecnología (CONACYT)42808
Tecnológico de MonterreyCAT-007
Secretaría de Educación Pública (SEP)UNSPECIFIED
Subject Keywords:Diffraction theory; Laser beam shaping
Issue or Number:1
Record Number:CaltechAUTHORS:GUTjosaa07
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:GUTjosaa07
Alternative URL:http://www.opticsinfobase.org/abstract.cfm?URI=josaa-24-1-215
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7265
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:25 Jan 2007
Last Modified:06 Nov 2019 22:57

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