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Proceedings Paper

The fractal shape of speckled darkness
Author(s): Mark R. Dennis; Kevin O'Holleran; Miles J. Padgett
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Paper Abstract

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.

Paper Details

Date Published: 25 January 2008
PDF: 15 pages
Proc. SPIE 6905, Complex Light and Optical Forces II, 69050C (25 January 2008); doi: 10.1117/12.764771
Show Author Affiliations
Mark R. Dennis, Univ. of Bristol (United Kingdom)
Kevin O'Holleran, Univ. of Glasgow (United Kingdom)
Miles J. Padgett, Univ. of Glasgow (United Kingdom)

Published in SPIE Proceedings Vol. 6905:
Complex Light and Optical Forces II
David L. Andrews; Enrique J. Galvez; Gerard Nienhuis, Editor(s)

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