Abstract

The study of the propagation of axially symmetric cross-spectral densities is of particular interest within the framework of Wolf’s new theory of partial coherence [ J. Opt. Soc. Am. 72, 343 ( 1982); J. Opt. Soc. Am. A 3, 1920 ( 1986)]. We deal with a mathematical method of computing an axially symmetric cross-spectral density in a plane, at a distance z from the source plane, as a linear combination of a finite number of its values in the source plane. In previous applications to the propagation of optical disturbances, this method has already been proved to be accurate and suitable for computer implementation.

© 1991 Optical Society of America

New theory of partial coherence in the space-frequency domain. Part II: Steady-state fields and higher-order correlations

Emil Wolf
J. Opt. Soc. Am. A 3(1) 76-85 (1986)

Propagation invariance and self-imaging in variable-coherence optics

Jari Turunen, Antti Vasara, and Ari T. Friberg
J. Opt. Soc. Am. A 8(2) 282-289 (1991)

Retrieval of the cross-spectral density propagating in free space

Hidenobu Arimoto, Kyu Yoshimori, and Kazuyoshi Itoh
J. Opt. Soc. Am. A 16(10) 2447-2452 (1999)

Ray-based propagation of the cross-spectral density

Jonathan C. Petruccelli and Miguel A. Alonso
J. Opt. Soc. Am. A 25(6) 1395-1405 (2008)

Inverse source problem for three-dimensional partially coherent sources and fields

Ivan J. LaHaie
J. Opt. Soc. Am. A 2(1) 35-45 (1985)