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Proceedings Paper • Open Access

Radiance and photon noise: imaging in geometrical optics, physical optics, quantum optics, and radiology

Paper Abstract

A fundamental way of describing a photon-limited imaging system is in terms of a Poisson random process sin spatial, angular and wavelength variables. The mean of this random process is the spectral radiance. The principle of conservation of radiance then allows a full characterization of the noise in the image (conditional on viewing a specified object). To elucidate these connections, we first review the definitions and basic properties of radiance as defined in terms of geometrical optics, radiology, physical optics and quantum optics. The propagation and conservation laws for radiance in each of these domains are reviewed. Then we distinguish four categories of imaging detectors that all respond in some way to the incident radiance, including the new category of photon-processing detectors. The relation between the radiance and the statistical properties of the detector output is discussed and related to task-based measures of image quality and the information content of a single detected photon.

Paper Details

Date Published: 12 September 2014
PDF: 17 pages
Proc. SPIE 9193, Novel Optical Systems Design and Optimization XVII, 919302 (12 September 2014); doi: 10.1117/12.2066715
Show Author Affiliations
Harrison H. Barrett, College of Optical Sciences, The Univ. of Arizona (United States)
Ctr. for Gamma-Ray Imaging (United States)
Kyle J. Myers, Ctr. for Devices and Radiological Health, U.S. Food and Drug Administration (United States)
Luca Caucci, Ctr. for Gamma-Ray Imaging (United States)

Published in SPIE Proceedings Vol. 9193:
Novel Optical Systems Design and Optimization XVII
G. Groot Gregory; Arthur J. Davis, Editor(s)

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