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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. 12 — Dec. 1, 2012
  • pp: 2542–2551

Interdependence between the temporal and spatial longitudinal and transverse degrees of partial coherence and a generalization of the van Cittert–Zernike theorem

Yangjian Cai, Yiming Dong, and Bernhard J. Hoenders  »View Author Affiliations


JOSA A, Vol. 29, Issue 12, pp. 2542-2551 (2012)
http://dx.doi.org/10.1364/JOSAA.29.002542


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Abstract

The interdependence between the temporal and the longitudinal and transverse spatial coherence is analyzed. The analysis concerns both the derivation of the exact analytical propagation equation of the mutual coherence in free space from a planar and spherical boundary surface and the numerical analysis of a specific model. This model assumes the mutual coherence function to be spatially incoherent at a planar surface. The temporal coherence of the mutual coherence function on the planar or spherical boundary surface is not quasi-monochromatic but much more general and given by Eq. (41). Two theorems are derived that are a generalization of the van Cittert–Zernike theorem.

© 2012 Optical Society of America

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(050.1960) Diffraction and gratings : Diffraction theory
(260.3160) Physical optics : Interference

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: June 28, 2012
Revised Manuscript: September 26, 2012
Manuscript Accepted: September 26, 2012
Published: November 12, 2012

Citation
Yangjian Cai, Yiming Dong, and Bernhard J. Hoenders, "Interdependence between the temporal and spatial longitudinal and transverse degrees of partial coherence and a generalization of the van Cittert–Zernike theorem," J. Opt. Soc. Am. A 29, 2542-2551 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-12-2542

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