OSA's Digital Library

Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 7, Iss. 1 — Jan. 4, 2012

Non-iterative method for designing super-resolving pupil filters

Noé Alcalá Ochoa and J. E. A. Landgrave  »View Author Affiliations


Optics Express, Vol. 19, Issue 23, pp. 23613-23620 (2011)
http://dx.doi.org/10.1364/OE.19.023613


View Full Text Article

Enhanced HTML    Acrobat PDF (1354 KB) Open Access





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We propose a method of designing pupil filters for transverse super-resolution without making use of recursive algorithms or the parabolic approximation for the point spread function (PSF). We represent the amplitude of the PSF as an expansion of orthogonal functions from the Fourier-Bessel transform of a Dini series. Their coefficients are related with desired features of the PSF, such as the transversal super-resolution gain and the intensity of the secondary maxima. We show the possibility to derive closed formulas to obtain large super-resolution gains with tolerable side-lobe intensities, at the expense of increasing the intensity of a chosen secondary lobe.

© 2011 OSA

OCIS Codes
(110.0180) Imaging systems : Microscopy
(110.1220) Imaging systems : Apertures
(170.1790) Medical optics and biotechnology : Confocal microscopy

ToC Category:
Imaging Systems

History
Original Manuscript: July 26, 2011
Revised Manuscript: October 8, 2011
Manuscript Accepted: October 13, 2011
Published: November 4, 2011

Virtual Issues
Vol. 7, Iss. 1 Virtual Journal for Biomedical Optics

Citation
Noé Alcalá Ochoa and J. E. A. Landgrave, "Non-iterative method for designing super-resolving pupil filters," Opt. Express 19, 23613-23620 (2011)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=oe-19-23-23613


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. Merano, G. Boyer, A. Trisorio, G. Chériaux, and G. Mourou, “Superresolved femtosecond laser ablation,” Opt. Lett.32(15), 2239–2241 (2007). [CrossRef] [PubMed]
  2. D. M. de Juana, J. E. Otti, V. F. Canales, and M. P. Cagigal, “Tranverse or axial superresolution in a 4Pi-confocal microscope by phase only filters,” J. Opt. Soc. Am. A20(11), 2172–2178 (2003). [CrossRef]
  3. V. F. Canales, P. J. Valle, J. E. Oti, and M. P. Cagigal, “Pupil apodization for increasing data storage density,” Chin. Opt. Lett.7, 720–723 (2009). [CrossRef]
  4. T. R. M. Sales, “Smallest focal spot,” Phys. Rev. Lett.81(18), 3844–3847 (1998). [CrossRef]
  5. G. Toraldo di Francia, “Super-gain antennas and optical resolving Power,” Nuovo Cim.9(S3Suppl.), 426–438 (1952). [CrossRef]
  6. C. J. R. Sheppard and Z. S. Hegedus, “Axial behavior of pupil-plane filters,” J. Opt. Soc. Am. A5(5), 643–647 (1988). [CrossRef]
  7. T. R. M. Sales and G. M. Morris, “Diffractive superresolution elements,” J. Opt. Soc. Am. A14(7), 1637–1646 (1997). [CrossRef]
  8. D. M. de Juana, J. E. Oti, V. F. Canales, and M. P. Cagigal, “Design of superresolving continuous phase filters,” Opt. Lett.28(8), 607–609 (2003). [CrossRef] [PubMed]
  9. M. P. Cagigal, V. F. Canales, and J. E. Oti, “Design of continuous superresolving masks for ground-based telescopes,” PASP116(824), 965–970 (2004). [CrossRef]
  10. V. F. Canales, J. E. Oti, and M. P. Cagigal, “Three-dimensional control of the focal light intensity distribution by analitically designed phase masks,” Opt. Commun.247(1-3), 11–18 (2005). [CrossRef]
  11. P. N. Gundu, E. Hack, and P. Rastogi, “High efficient superresolution combination filter with twin LCD spatial light modulators,” Opt. Express13(8), 2835–2842 (2005). [CrossRef] [PubMed]
  12. V. F. Canales and M. P. Cagigal, “Pupil filter design by using a Bessel functions basis at the image plane,” Opt. Express14(22), 10393–10402 (2006). [CrossRef] [PubMed]
  13. P. N. Gundu, E. Hack, and P. Rastogi, “Apodized superresolution – concept and simulations,” Opt. Commun.249(1-3), 101–107 (2005). [CrossRef]
  14. N. A. Ochoa, J. García-Márquez, and A. González-Vega, “Hybrid pupil filter design using Bessel series,” Opt. Commun. (To be published).
  15. J. E. A. Landgrave and L. R. Berriel-Valdos, “Sampling expansions for three-dimensional light amplitude distribution in the vicinity of an axial image point,” J. Opt. Soc. Am. A14(11), 2962–2976 (1997). [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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited