We study the evolution of phase singularities and coherence singularities in a Laguerre–Gauss beam that is rendered partially coherent by letting it pass through a spatial light modulator. The original beam has an on-axis minumum of intensity—a phase singularity—that transforms into a maximum of the far-field intensity. In contrast, although the original beam has no coherence singularities, such singularities are found to develop as the beam propagates. This disappearance of one kind of singularity and the gradual appearance of another is illustrated with numerical examples.
© 2009 Optical Society of America
Diffraction and Gratings
Original Manuscript: December 10, 2008
Manuscript Accepted: January 28, 2009
Published: March 10, 2009
Thomas van Dijk and Taco D. Visser, "Evolution of singularities in a partially coherent vortex beam," J. Opt. Soc. Am. A 26, 741-744 (2009)