Simple, closed-form analytical expressions are given for the statistical probability densities of the six parameters that define an optical vortex (phase singularity) in a Gaussian random wave field. Good agreement is found between calculation and a computer simulation that generates these vortices.
© 1994 Optical Society of America
Original Manuscript: August 19, 1993
Revised Manuscript: October 18, 1993
Manuscript Accepted: November 22, 1993
Published: May 1, 1994
Isaac Freund, "Optical vortices in Gaussian random wave fields: statistical probability densities," J. Opt. Soc. Am. A 11, 1644-1652 (1994)