The presentation on topological charge distributions in stochastic optical fields concludes that by using a combination of speckle fields one can produce inhomogeneous vortex distributions that allow both analytical calculations and numerical simulations. One-dimensional topological charge density causes Gaussian decay obeys (modified) diffusion equation and diffusion parameters related to coherence areas. Two-dimensional topological charge density results in the same diffusion behaviour, while additional nonlinear behaviour may be explained by drift mechanisms.
Reference:
Roux, FS. One-and two-dimensional topological charge distributions in stochastic optical fields. Workshop on Singular Optics. The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy, 30 May - 3 June 2011
Roux, F. (2011). One-and two-dimensional topological charge distributions in stochastic optical fields. http://hdl.handle.net/10204/5826