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Local properties and statistics of phase singularities in generic wavefields

Dennis, Mark, (2001) Local properties and statistics of phase singularities in generic wavefields Soskin, Marat S. and Vasnetsov, Mikhail V. (eds.) In Singular Optics (Optical Vortices): Fundamentals and Applications. vol. 4403, International Society for Optical Engineering. 318 pp, pp. 13-23. (doi:10.1117/12.428263).

Record type: Conference or Workshop Item (Paper)


This paper is a review and extension of recent work by Berry and Dennis (Proc R Soc Lond A456, pp2059, 2000; A457, pp141-155, 2001), where the geometric structure of phase singularities (wave dislocations) in waves is studied, particularly for singularities in isotropic random wavefields. The anisotropy ellipse of a generic dislocation is defined, and I derive an angular momentum rule for its phase. Random wavefields are discussed, and statistical results for density, anisotropy ellipse eccentricity, and planar correlation functions are stated. The properties of the correlation functions are compared to analogous features from ionic structure theory, and are discussed in those terms. The results are given explicitly for four particular spectra: monochromatic waves propagating in the plane, monochromatic waves propagating in space, a speckle pattern in the transverse plane of a paraxial beam, and the Planck spectrum for blackbody radiation.

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Published date: 2001
Venue - Dates: Second International Conference on Singular Optics (Optical Vortices): Fundamentals and Applications, 2000-10-02 - 2000-10-06


Local EPrints ID: 29376
ISBN: 0819440981
PURE UUID: 7d903fe2-45bf-4830-89ab-646ac9a4d063

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Date deposited: 12 May 2006
Last modified: 17 Jul 2017 15:58

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Author: Mark Dennis
Editor: Marat S. Soskin
Editor: Mikhail V. Vasnetsov

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