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
Coherence and Statistical Optics
Original Manuscript: March 11, 2014
Revised Manuscript: April 3, 2014
Manuscript Accepted: April 3, 2014
Published: April 28, 2014
Franco Gori and Massimo Santarsiero, "Difference of two Gaussian Schell-model cross-spectral densities," Opt. Lett. 39, 2731-2734 (2014)