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  • Editor: Xi-Cheng Zhang
  • Vol. 39, Iss. 9 — May. 1, 2014
  • pp: 2731–2734

Difference of two Gaussian Schell-model cross-spectral densities

Franco Gori and Massimo Santarsiero  »View Author Affiliations


Optics Letters, Vol. 39, Issue 9, pp. 2731-2734 (2014)
http://dx.doi.org/10.1364/OL.39.002731


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Abstract

We present a number of results relating to the difference of two Gaussian Schell-model cross-spectral densities (CSDs). They allow us to specify conditions under which such a difference represents itself in a valid CSD. In particular, a sufficient condition is derived for the non-negative definiteness of the resulting CSD, for any admissible choice of the involved parameters, while a necessary and sufficient condition is obtained for the case of CSDs endowed with the property of being shape-invariant upon propagation.

© 2014 Optical Society of America

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(030.1640) Coherence and statistical optics : Coherence
(030.4070) Coherence and statistical optics : Modes

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: March 11, 2014
Revised Manuscript: April 3, 2014
Manuscript Accepted: April 3, 2014
Published: April 28, 2014

Citation
Franco Gori and Massimo Santarsiero, "Difference of two Gaussian Schell-model cross-spectral densities," Opt. Lett. 39, 2731-2734 (2014)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-39-9-2731


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