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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. 9 — Sep. 1, 2012
  • pp: 1939–1947

Generalized van Cittert–Zernike theorem for the cross-spectral density matrix of quasi-homogeneous planar electromagnetic sources

Oscar G. Rodríguez-Herrera and J. Scott Tyo  »View Author Affiliations


JOSA A, Vol. 29, Issue 9, pp. 1939-1947 (2012)
http://dx.doi.org/10.1364/JOSAA.29.001939


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Abstract

A generalized van Cittert–Zernike theorem for the cross-spectral density matrix of quasi-homogeneous planar electromagnetic sources is introduced. We present theoretical examples of using this theorem to generate fields with interesting polarization and spatial coherence properties by choosing the appropriate spectral density distribution of the source. We found that under certain conditions, a quasi-homogeneous, polarized source may produce a beam in the far field that is unpolarized in the typical one-point sense but polarized in the two-point, mutual polarization sense.

© 2012 Optical Society of America

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(030.1640) Coherence and statistical optics : Coherence
(260.0260) Physical optics : Physical optics
(260.5430) Physical optics : Polarization
(350.5500) Other areas of optics : Propagation

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: June 18, 2012
Revised Manuscript: July 19, 2012
Manuscript Accepted: July 20, 2012
Published: August 27, 2012

Citation
Oscar G. Rodríguez-Herrera and J. Scott Tyo, "Generalized van Cittert–Zernike theorem for the cross-spectral density matrix of quasi-homogeneous planar electromagnetic sources," J. Opt. Soc. Am. A 29, 1939-1947 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-9-1939


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References

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