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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • 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)

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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

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

Noé Alcalá Ochoa and J. E. A. Landgrave, "Non-iterative method for designing super-resolving pupil filters," Opt. Express 19, 23613-23620 (2011)

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