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Effect of ABCD transformations on beam paraxiality

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Martínez Matos, Óscar and Vaveliuk, Pablo (2011) Effect of ABCD transformations on beam paraxiality. Optics Express, 19 (27). pp. 25944-25953. ISSN 1094-4087

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Official URL: http://dx.doi.org/10.1364/OE.19.025944


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Abstract

The limits of the paraxial approximation for a laser beam under ABCD transformations is established through the relationship between a parameter concerning the beam paraxiality, the paraxial estimator, and the beam second-order moments. The applicability of such an estimator is extended to an optical system composed by optical elements as mirrors and lenses and sections of free space, what completes the analysis early performed for free-space propagation solely. As an example, the paraxiality of a system composed by free space and a spherical thin lens under the propagation of Hermite-Gauss and Laguerre-Gauss modes is established. The results show that the the paraxial approximation fails for a certain feasible range of values of main parameters. In this sense, the paraxial estimator is an useful tool to monitor the limits of the paraxial optics theory under ABCD transformations.


Item Type:Article
Additional Information:

© 2011 Optical Society of America.
The Authors thank A. C´amara and J. A. Rodrigo for fruitful discussions. This work was supported by Servicio Nacional de Aprendizagem Industrial, Departamento Regional Bahia (SENAI-DR/BA), Brazil. Financial support from the Conselho Nacional de Desenvolvimento Cientif´ıco e Tecnol´ogico (CNPq), Brazil, under project 477260/2010-1 and Spanish Ministry of Science and Innovation under project TEC 2008-04105 is acknowledged. P.V. acknowledgesa PQ fellowship of CNPq.

Uncontrolled Keywords:Schell-Model Beams, Optical-Systems, Laser-Beams, Propagation, Quality, Lenses
Subjects:Sciences > Physics > Optics
ID Code:25129
Deposited On:24 Apr 2014 08:38
Last Modified:24 Apr 2014 08:38

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