Abstract

It is shown that, among all partially coherent wave fields having the same informational entropy, the product of the effective widths of the intensity functions in the space and the spatial-frequency domains takes its minimum value for a wave field with a Gaussian-shaped cross-spectral density function. Furthermore, it is shown how this minimum value is related to the informational entropy and how this informational entropy is related to other quantities that can measure the overall degree of coherence of the partially coherent wave field.

© 1986 Optical Society of America

New class of uncertainty relations for partially coherent light

Martin J. Bastiaans
J. Opt. Soc. Am. A 1(7) 711-715 (1984)

Uncertainty principle for partially coherent light

Martin J. Bastiaans
J. Opt. Soc. Am. 73(3) 251-255 (1983)

Lower bound in the uncertainty principle for partially coherent light

Martin J. Bastiaans
J. Opt. Soc. Am. 73(10) 1320-1324 (1983)

Application of the Wigner distribution function to partially coherent light

Martin J. Bastiaans
J. Opt. Soc. Am. A 3(8) 1227-1238 (1986)

Shannon entropy of partially polarized and partially coherent light with Gaussian fluctuations

Philippe Réfrégier and Jérôme Morio
J. Opt. Soc. Am. A 23(12) 3036-3044 (2006)