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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 9 — Apr. 23, 2012
  • pp: 10406–10415

Statistical connection of binomial photon counting and photon averaging in high dynamic range beam-scanning microscopy

Ryan D. Muir, David J. Kissick, and Garth J. Simpson  »View Author Affiliations

Optics Express, Vol. 20, Issue 9, pp. 10406-10415 (2012)

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Data from photomultiplier tubes are typically analyzed using either counting or averaging techniques, which are most accurate in the dim and bright signal limits, respectively. A statistical means of adjoining these two techniques is presented by recovering the Poisson parameter from averaged data and relating it to the statistics of binomial counting from Kissick et al. [Anal. Chem. 82, 10129 (2010)]. The point at which binomial photon counting and averaging have equal signal to noise ratios is derived. Adjoining these two techniques generates signal to noise ratios at 87% to approaching 100% of theoretical maximum across the full dynamic range of the photomultiplier tube used. The technique is demonstrated in a second harmonic generation microscope.

© 2012 OSA

OCIS Codes
(030.4280) Coherence and statistical optics : Noise in imaging systems
(030.5260) Coherence and statistical optics : Photon counting
(030.5290) Coherence and statistical optics : Photon statistics
(030.6600) Coherence and statistical optics : Statistical optics
(040.5250) Detectors : Photomultipliers
(190.2620) Nonlinear optics : Harmonic generation and mixing
(180.4315) Microscopy : Nonlinear microscopy
(320.7085) Ultrafast optics : Ultrafast information processing

ToC Category:
Coherence and Statistical Optics

Original Manuscript: January 18, 2012
Manuscript Accepted: February 20, 2012
Published: April 20, 2012

Virtual Issues
Vol. 7, Iss. 6 Virtual Journal for Biomedical Optics

Ryan D. Muir, David J. Kissick, and Garth J. Simpson, "Statistical connection of binomial photon counting and photon averaging in high dynamic range beam-scanning microscopy," Opt. Express 20, 10406-10415 (2012)

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