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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 28, Iss. 8 — Aug. 1, 2011
  • pp: 1709–1715

Transverse superresolution technique involving rectified Laguerre–Gaussian LG p 0 beams

Emmanuel Cagniot, Michael Fromager, Thomas Godin, Nicolas Passilly, and Kamel Aït-Ameur  »View Author Affiliations


JOSA A, Vol. 28, Issue 8, pp. 1709-1715 (2011)
http://dx.doi.org/10.1364/JOSAA.28.001709


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Abstract

A promising technique has been proposed recently [ Opt. Commun. 284, 1331 (2011), Opt. Commun. 284, 4107 (2011)] for breaking the diffraction limit of light. This technique consists of transforming a symmetrical Laguerre–Gaussian LG p 0 beam into a near-Gaussian beam at the focal plane of a thin converging lens thanks to a binary diffractive optical element (DOE) having a transmittance alternatively equal to 1 or + 1 , transversely. The effect of the DOE is to convert the alternately out-of-phase rings of the LG p 0 beam into a unified phase front. The benefits of the rectified beam at the lens focal plane are a short Rayleigh range, which is very useful for many laser applications, and a focal volume much smaller than that obtained with a Gaussian beam. In this paper, we demonstrate numerically that the central lobe’s radius of the rectified beam at the lens focal plane depends exclusively on the dimensionless radial intensity vanishing factor of the incident beam. Consequently, this value can be easily predicted.

© 2011 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1380) Diffraction and gratings : Binary optics
(050.5080) Diffraction and gratings : Phase shift
(050.1755) Diffraction and gratings : Computational electromagnetic methods

ToC Category:
Diffraction and Gratings

History
Original Manuscript: May 20, 2011
Manuscript Accepted: June 24, 2011
Published: July 27, 2011

Virtual Issues
Vol. 6, Iss. 9 Virtual Journal for Biomedical Optics

Citation
Emmanuel Cagniot, Michael Fromager, Thomas Godin, Nicolas Passilly, and Kamel Aït-Ameur, "Transverse superresolution technique involving rectified Laguerre–Gaussian LG0p beams," J. Opt. Soc. Am. A 28, 1709-1715 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-8-1709

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