Local properties and statistics of phase singularities in generic wavefields

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


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Original Publication URL: http://dx.doi.org/10.1117/12.428263


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.

Item Type: Book Section
Digital Object Identifier (DOI): doi:10.1117/12.428263
ISBNs: 0819440981 (paperback)
Related URLs:
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions : University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
ePrint ID: 29376
Accepted Date and Publication Date:
Date Deposited: 12 May 2006
Last Modified: 31 Mar 2016 11:54
URI: http://eprints.soton.ac.uk/id/eprint/29376

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