The fractal shape of speckled darkness

MR Dennis, K O'Holleran, M J Padgett

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

5 Citations (Scopus)


Propagating three-dimensional speckle fields are threaded by random networks of nodal lines (optical vortices). We review our recent numerical superpositions of simulations of random plane waves modelling speckle (O'Holleran et al. Phys. Rev. Lett. in press), in which the nodal lines and loops were found to have the fractal structure of brownian random walks. We discuss this result, and its comparison with the discrete vortices of the Z3 lattice model for cosmic strings. We argue that the scaling depends on the geometry of small vortex loops and avoided crossings. The analytic statistics of these events, along with related singularities are discussed, and the densities of vorticity-vanishing points and anisotropy C lines are found explicitly.
Translated title of the contributionThe fractal shape of speckled darkness
Original languageEnglish
Title of host publicationComplex Light and Optical Forces II, Photonics West, San Jose CA
EditorsDL Andrews, EJ Galvez, G Nienhuis
Place of PublicationBELLINGHAM
PublisherSociety of Photo-Optical Instrumentation Engineers (SPIE)
Pages69050C-1 - 69050C-15
Number of pages15
ISBN (Print)978-0-8194-7080-5
Publication statusPublished - 2008
EventConference on Complex Light and Optical Forces II - San Jose, United States
Duration: 21 Jan 200823 Jan 2008


ConferenceConference on Complex Light and Optical Forces II
Country/TerritoryUnited States
CitySan Jose

Bibliographical note

Conference Organiser: SPIE Proceedings


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