RT Journal Article
T1 Effect of ABCD transformations on beam paraxiality
A1 Martínez Matos, Óscar
A1 Vaveliuk, Pablo
AB 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.
PB The Optical Society Of America
SN 1094-4087
YR 2011
FD 2011-12-19
LK https://hdl.handle.net/20.500.14352/44152
UL https://hdl.handle.net/20.500.14352/44152
LA eng
NO © 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.
NO Servicio Nacional de Aprendizagem Industrial, Departamento Regional Bahia (SENAI-DR/BA), Brazil
NO Conselho Nacional de Desenvolvimento Cientif´ıco e Tecnol´ogico (CNPq), Brazil
NO Ministerio de Ciencia e Innovación, España
DS Docta Complutense
RD 13 abr 2025