OSA's Digital Library

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


View Full Text Article

Enhanced HTML    Acrobat PDF (361 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

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


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. W. H. Teh, U. Durig, G. Salis, R. Harbers, U. Drechsler, R. F. Mahrt, C. G. Smith, and H. J. Guntherodt, “SU-8 for real three-dimensional subdiffraction-limit two-photon microfabrication,” Appl. Phys. Lett. 84, 4095–4097 (2004). [CrossRef]
  2. R. Infuehr, N. Pucher, C. Heller, H. Lichtenegger, R. Liska, V. Schmidt, L. Kuna, A. Haase, and J. Stampfl, “Functional polymers by two-photon 3D lithography,” Appl. Surf. Science 254, 836–840 (2007). [CrossRef]
  3. W. Denk, J. H. Strickler, and W. W. Webb, “Two-photon laser scanning fluorescence microscopy,” Science 248, 73–76 (1990). [CrossRef] [PubMed]
  4. W. R. Zipfel, R. M. Williams, and W. W. Webb, “Nonlinear magic: multiphoton microscopy in the biosciences,” Nat. Biotechnol. 21, 1369–1377 (2003). [CrossRef] [PubMed]
  5. A. Ashkin, J. M. Dziedzic, and T. Yamane, “Optical trapping and manipulation of single cells using infrared laser beams,” Nature 330, 769–771 (1987). [CrossRef] [PubMed]
  6. J. R. Moffitt, Y. R. Chemla, S. B. Smith, and C. Bustamante, “Recent advances in optical tweezers,” Annu. Rev. Biochem. 77, 205–228 (2008). [CrossRef] [PubMed]
  7. A. Hasnaoui, A. Bencheikh, M. Fromager, E. Cagniot, and K. Aït-Ameur, “Creation of a sharper focus by using a rectified TEMp0 beam,” Opt. Commun. 284, 1331–1334 (2011). [CrossRef]
  8. A. Hasnaoui, A. Bencheikh, M. Fromager, E. Cagniot, and K. Aït-Ameur, “Erratum to ‘Creation of a sharper focus by using a rectified TEMp0 beam’,” Opt. Commun. 284, 4107–4107 (2011). [CrossRef]
  9. S. A. Collins, Jr., “Lens-system diffraction integral written in terms of matrix optics,” J. Opt. Soc. Am. 60, 1168–1177 (1970). [CrossRef]
  10. J. J. Wen and M. A. Breazeale, “A diffraction beam field expressed as the superposition of Gaussian beams,” J. Acoust. Soc. Am. 83, 1752–1756 (1988). [CrossRef]
  11. L. Ingber, “Very fast simulated re-annealing, Math. Comput. Model. 12, 967–973 (1989). [CrossRef]
  12. L. Ingber, “Simulated annealing: Practice versus theory,” Math. Comput. Model. 18, 29–57 (1993). [CrossRef]
  13. L. Ingber, “Adaptive simulated annealing (ASA): Lessons learned,” Contr. Cybernet. 25, 33–54 (1996).
  14. W. Liu, P. Ji, and J. Yang, “Development of a simple and accurate approximation method for the Gaussian beam expansion technique,” J. Acoust. Soc. Am. 123, 3516–3516(2008). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4 Fig. 5
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited