CaltechAUTHORS
  A Caltech Library Service

Propagation of generalized vector Helmholtz-Gauss beams through paraxial optical systems

Hernandez-Aranda, Raul I. and Gutiérrez-Vega, Julio C. and Guizar-Sicairos, Manuel and Bandres, Miguel A. (2006) Propagation of generalized vector Helmholtz-Gauss beams through paraxial optical systems. Optics Express, 14 (20). pp. 8974-8988. ISSN 1094-4087. https://resolver.caltech.edu/CaltechAUTHORS:HERoe06

[img]
Preview
PDF - Published Version
See Usage Policy.

533Kb
[img] Video (AVI) (Movie 1) - Supplemental Material
See Usage Policy.

2405Kb
[img] Video (AVI) (Movie 2) - Supplemental Material
See Usage Policy.

2359Kb
[img] Video (AVI) (Movie 3) - Supplemental Material
See Usage Policy.

3341Kb
[img] Video (AVI) (Movie 4) - Supplemental Material
See Usage Policy.

3307Kb
[img] Video (AVI) (Movie 5) - Supplemental Material
See Usage Policy.

3186Kb
[img] Video (AVI) (Movie 6) - Supplemental Material
See Usage Policy.

2595Kb
[img] Video (AVI) (Movie 7) - Supplemental Material
See Usage Policy.

3643Kb
[img] Video (AVI) (Movie 8) - Supplemental Material
See Usage Policy.

2287Kb

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:HERoe06

Abstract

We introduce the generalized vector Helmholtz-Gauss (gVHzG) beams that constitute a general family of localized beam solutions of the Maxwell equations in the paraxial domain. The propagation of the electromagnetic components through axisymmetric ABCD optical systems is expressed elegantly in a coordinate-free and closed-form expression that is fully characterized by the transformation of two independent complex beam parameters. The transverse mathematical structure of the gVHzG beams is form-invariant under paraxial transformations. Any paraxial beam with the same waist size and transverse spatial frequency can be expressed as a superposition of gVHzG beams with the appropriate weight factors. This formalism can be straightforwardly applied to propagate vector Bessel-Gauss, Mathieu-Gauss, and Parabolic-Gauss beams, among others.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1364/OE.14.008974DOIArticle
ORCID:
AuthorORCID
Bandres, Miguel A.0000-0002-7145-8567
Additional Information:© 2006 Optical Society of America Original Manuscript: August 2, 2006. Manuscript Accepted: September 15, 2006. Revised Manuscript: September 15, 2006. Published: October 2, 2006 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 Secretaría de Educacíon Pública of 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:Diffractive optics; beam shaping; light polarization; propagation of electromagnetic waves
Issue or Number:20
Record Number:CaltechAUTHORS:HERoe06
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:HERoe06
Alternative URL:http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-20-8974
Official Citation:Raul I. Hernandez-Aranda, Julio C. Gutiérrez-Vega, Manuel Guizar-Sicairos, and Miguel A. Bandres, "Propagation of generalized vector Helmholtz-Gauss beams through paraxial optical systems," Opt. Express 14, 8974-8988 (2006)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5619
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:26 Oct 2006
Last Modified:06 Nov 2019 23:00

Repository Staff Only: item control page