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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 29, Iss. 8 — Aug. 1, 2012
  • pp: 1529–1536

Coherency matrix formulation for partially coherent imaging to evaluate the degree of coherence for image

Kenji Yamazoe  »View Author Affiliations


JOSA A, Vol. 29, Issue 8, pp. 1529-1536 (2012)
http://dx.doi.org/10.1364/JOSAA.29.001529


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Abstract

This paper defines a matrix from which coherence property of imaging by partially coherent Koehler illumination is determined. The matrix termed coherency matrix in imaging system is derived by the space average of a product of a column vector and its transpose conjugate where each row of the column vector represents mutually incoherent light. The coherency matrix in imaging system has similar properties to the polarization matrix that is utilized for calculating the light intensity and degree of polarization of polarized light. The coherency matrix in imaging system enables us to calculate not only image intensity but also degree of coherence for image. Simulation results of the degree of coherence for image given by the coherency matrix in imaging system correspond to the complex degree of coherence obtained by the van Cittert-Zernike theorem.

© 2012 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(110.2990) Imaging systems : Image formation theory
(110.4980) Imaging systems : Partial coherence in imaging

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: March 16, 2012
Revised Manuscript: May 29, 2012
Manuscript Accepted: June 4, 2012
Published: July 11, 2012

Virtual Issues
Vol. 7, Iss. 10 Virtual Journal for Biomedical Optics

Citation
Kenji Yamazoe, "Coherency matrix formulation for partially coherent imaging to evaluate the degree of coherence for image," J. Opt. Soc. Am. A 29, 1529-1536 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-8-1529


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