Abstract

The condition under which a product of two cross-spectral densities (CSD) constitutes a valid correlation function is established. The results are obtained for the CSDs of two one-dimensional, scalar Schell-model sources, but can be readily generalized to other situations. It is shown via a number of numerical examples how new source classes of Schell-model type and the beam-like fields they radiate can be designed.

© 2014 Optical Society of America

Difference of two Gaussian Schell-model cross-spectral densities

Franco Gori and Massimo Santarsiero
Opt. Lett. 39(9) 2731-2734 (2014)

Difference of cross-spectral densities

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

Higher-order twisted/astigmatic Gaussian Schell-model cross-spectral densities and their separability features

M. Santarsiero, F. Gori, and M. Alonzo
Opt. Express 27(6) 8554-8565 (2019)

Two types of sinc Schell-model beams and their propagation characteristics

Zhangrong Mei
Opt. Lett. 39(14) 4188-4191 (2014)

Alternating series of cross-spectral densities

Zhangrong Mei and Olga Korotkova
Opt. Lett. 40(11) 2473-2476 (2015)