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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 27 — Dec. 19, 2011
  • pp: 25944–25953

Effect of ABCD transformations on beam paraxiality

Pablo Vaveliuk and Oscar Martinez-Matos  »View Author Affiliations


Optics Express, Vol. 19, Issue 27, pp. 25944-25953 (2011)
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.

© 2011 OSA

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(120.4820) Instrumentation, measurement, and metrology : Optical systems
(200.4740) Optics in computing : Optical processing

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: August 1, 2011
Revised Manuscript: October 30, 2011
Manuscript Accepted: October 31, 2011
Published: December 6, 2011

Citation
Pablo Vaveliuk and Oscar Martinez-Matos, "Effect of ABCD transformations on beam paraxiality," Opt. Express 19, 25944-25953 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-27-25944


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