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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 46, Iss. 10 — Apr. 1, 2007
  • pp: 1819–1829

Gaussian approximations of fluorescence microscope point-spread function models

Bo Zhang, Josiane Zerubia, and Jean-Christophe Olivo-Marin  »View Author Affiliations


Applied Optics, Vol. 46, Issue 10, pp. 1819-1829 (2007)
http://dx.doi.org/10.1364/AO.46.001819


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Abstract

We comprehensively study the least-squares Gaussian approximations of the diffraction-limited 2D–3D paraxial–nonparaxial point-spread functions (PSFs) of the wide field fluorescence microscope (WFFM), the laser scanning confocal microscope (LSCM), and the disk scanning confocal microscope (DSCM). The PSFs are expressed using the Debye integral. Under an L constraint imposing peak matching, optimal and near-optimal Gaussian parameters are derived for the PSFs. With an L 1 constraint imposing energy conservation, an optimal Gaussian parameter is derived for the 2D paraxial WFFM PSF. We found that (1) the 2D approximations are all very accurate; (2) no accurate Gaussian approximation exists for 3D WFFM PSFs; and (3) with typical pinhole sizes, the 3D approximations are accurate for the DSCM and nearly perfect for the LSCM. All the Gaussian parameters derived in this study are in explicit analytical form, allowing their direct use in practical applications.

© 2007 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(110.0180) Imaging systems : Microscopy
(180.1790) Microscopy : Confocal microscopy
(180.2520) Microscopy : Fluorescence microscopy
(180.6900) Microscopy : Three-dimensional microscopy

ToC Category:
Optical microscopy techniques and technology

History
Original Manuscript: June 2, 2006
Manuscript Accepted: September 15, 2006
Published: March 13, 2007

Virtual Issues
Vol. 2, Iss. 5 Virtual Journal for Biomedical Optics

Citation
Bo Zhang, Josiane Zerubia, and Jean-Christophe Olivo-Marin, "Gaussian approximations of fluorescence microscope point-spread function models," Appl. Opt. 46, 1819-1829 (2007)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-46-10-1819

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