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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 8, Iss. 5 — Jun. 6, 2013

A sub wavelength localization scheme in optical imaging using conical diffraction

Shani Rosen, Gabriel Y. Sirat, Har’el Ilan, and Aharon J. Agranat  »View Author Affiliations

Optics Express, Vol. 21, Issue 8, pp. 10133-10138 (2013)

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In this paper we present a scheme for the acquisition of high temporal resolution images of single particles with enhanced lateral localization accuracy. The scheme, which is implementable as a part of the illumination system of a standard confocal microscope, is based on the generation of a vector beam that is manipulated by polarimetry techniques to create a set of illumination PSFs with different spatial profiles. The combination of data collected in different illumination states enables the extraction of spatial information obscured by diffraction in the standard imaging system. An implementation of the scheme based on the utilization of the unique phenomenon of conical diffraction is presented, and the basic strategy it provides for enhanced localization in the diffraction limited region is demonstrated.

© 2013 OSA

OCIS Codes
(110.0110) Imaging systems : Imaging systems
(260.1180) Physical optics : Crystal optics
(260.1960) Physical optics : Diffraction theory
(220.2945) Optical design and fabrication : Illumination design

ToC Category:
Imaging Systems

Original Manuscript: January 2, 2013
Revised Manuscript: March 1, 2013
Manuscript Accepted: March 1, 2013
Published: April 16, 2013

Virtual Issues
Vol. 8, Iss. 5 Virtual Journal for Biomedical Optics

Shani Rosen, Gabriel Y. Sirat, Har’el Ilan, and Aharon J. Agranat, "A sub wavelength localization scheme in optical imaging using conical diffraction," Opt. Express 21, 10133-10138 (2013)

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  1. M. J. Saxton and K. Jacobson, “Single-particle tracking: applications to membrane dynamics,” Annu. Rev. Biophys. Biomol. Struct.26(1), 373–399 (1997). [CrossRef] [PubMed]
  2. M. Fernández-Suárez and A. Y. Ting, “Fluorescent probes for super-resolution imaging in living cells,” Nat. Rev. Mol. Cell Biol.9(12), 929–943 (2008). [CrossRef] [PubMed]
  3. E. Betzig, G. H. Patterson, R. Sougrat, O. W. Lindwasser, S. Olenych, J. S. Bonifacino, M. W. Davidson, J. Lippincott-Schwartz, and H. F. Hess, “Imaging intracellular fluorescent proteins at nanometer resolution,” Science313(5793), 1642–1645 (2006). [CrossRef] [PubMed]
  4. G. B. Airy, “On the diffraction of an object-glass with circular aperture,” Trans. Cambridge Philos. Soc.5, 283–291 (1835).
  5. N. Bobroff, “Position measurement with a resolution and noise-limited instrument,” Rev. Sci. Instrum.57(6), 1152 –1157(1986). [CrossRef]
  6. R. E. Thompson, D. R. Larson, and W. W. Webb, “Precise nanometer localization analysis for individual fluorescent probes,” Biophys. J.82(5), 2775–2783 (2002). [CrossRef] [PubMed]
  7. J. B. Pawley, Handbook of Biological Confocal Microscopy, 3rd Ed. (Springer Science + Business Media, LLC, 2006).
  8. G. Y. Sirat, Patent application PCT/FR2011/000555.
  9. W. R. Hamilton, “Third supplement to an essay on the theory of systems of rays,” Trans. Royal Irish. Acad.1–144 (1833).
  10. H. Llyold, “On the phenomena presented by light in its passage along the axes of biaxal crystals,” Phil. Mag. 1,112–120 and 207–210 (1833).
  11. J. C. Poggendorff, “Ueber die konische refraction,” Pogg. Ann.124(11), 461–462 (1839).
  12. C. V. Raman, “'Conical refraction in biaxial crystals,” Nature107(2702), 747–747 (1921). [CrossRef]
  13. A. M. Belsky and A. P. Khapalyuk, “Internal conical refraction of limited light-beams in 2-axes crystals,” Opt. Spectrosc.44, 746–751 (1978).
  14. M. V. Berry, “Conical diffraction asymptotics: fine structure of Poggendorff rings and axial spike,” J. Opt. A, Pure Appl. Opt.6(4), 289–300 (2004). [CrossRef]
  15. M. V. Berry, M. R. Jeffrey, and J. G. Lunney, “Conical diffraction: observations and theory,” Proc. R. Soc. A. 462(2070), 1629–1642 (2006). [CrossRef]
  16. M. V. Berry and M. R. Jeffrey, “Conical diffraction: Hamilton's diabolical point at the heart of crystal optics,” Prog. Optics50, 13–50 (2007). [CrossRef]
  17. B. Boulanger and J. Zyss, Physical Properties of Crystals. Vol. D of International Tables for Crystallography, A. Authier, Ed. (Kluwer, Dordrecht, 1997).
  18. G. Y. Sirat, Patent application US 2009/0168613 A1.
  19. P. S. Hauge, “Recent developments in instrumentation in ellipsometry,” Surf. Sci.96(1-3), 108–140 (1980). [CrossRef]
  20. S. Quabis, R. Dorn, M. Eberlerm, O. Glockl, and G. Leuchs, “The focus of light: theoretical calculation and experimental tomographic reconstruction,” Appl. Phys. B72(1), 109–113 (2001). [CrossRef]

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