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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: Stephen A. Burns
  • Vol. 25, Iss. 11 — Nov. 1, 2008
  • pp: 2826–2832

Partially correlated thin annular sources: the scalar case

Franco Gori, Massimo Santarsiero, Riccardo Borghi, and Chun-Fang Li  »View Author Affiliations


JOSA A, Vol. 25, Issue 11, pp. 2826-2832 (2008)
http://dx.doi.org/10.1364/JOSAA.25.002826


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Abstract

Thin annular sources, either coherent or completely incoherent from the spatial standpoint, have played a significant role in the synthesis of diffraction-free and J 0 -correlated fields, respectively. Here, we consider thin annular sources with partial correlation. A scalar description is developed under the assumption that the correlation function between two points depends on their angular distance only. We show that for any such source the modal expansion can easily be found. Further, we examine how the correlation properties of the radiated fields change on free propagation. We also give a number of examples and present possible synthesis schemes.

© 2008 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(260.5430) Physical optics : Polarization

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: July 3, 2008
Manuscript Accepted: August 26, 2008
Published: October 23, 2008

Citation
Franco Gori, Massimo Santarsiero, Riccardo Borghi, and Chun-Fang Li, "Partially correlated thin annular sources: the scalar case," J. Opt. Soc. Am. A 25, 2826-2832 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-11-2826


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  31. In principle, each term could be multiplied by an arbitrary phase factor.

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