Abstract

The choice of the mathematical form of spatial correlation functions for optical fields is restricted by the constraint of nonnegative definiteness. We discuss a sufficient condition for ensuring the satisfaction of such a constraint.

© 2007 Optical Society of America

Devising genuine twisted cross-spectral densities

F. Gori and M. Santarsiero
Opt. Lett. 43(3) 595-598 (2018)

Difference of cross-spectral densities

M. Santarsiero, G. Piquero, J. C. G. de Sande, and F. Gori
Opt. Lett. 39(7) 1713-1716 (2014)

Generation of non-uniformly correlated sources with controllable beam profile by devising its statistics in the spatial frequency domain

Gaofeng Wu, Jing Liang, Fei Wang, and Yangjian Cai
Opt. Lett. 48(9) 2413-2416 (2023)

Elementary-field expansions of genuine cross-spectral density matrices

Rosario Martínez-Herrero and Pedro M. Mejías
Opt. Lett. 34(15) 2303-2305 (2009)

Products of Schell-model cross-spectral densities

Zhangrong Mei, Olga Korotkova, and Yonghua Mao
Opt. Lett. 39(24) 6879-6882 (2014)