Local properties and statistics of phase singularities in generic wavefields
Local properties and statistics of phase singularities in generic wavefields
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.
0819440981
13-23
SPIE - The International Society for Optical Engineering
Dennis, Mark
aeb7123e-786d-4ae2-bc21-72eddd61697b
2001
Dennis, Mark
aeb7123e-786d-4ae2-bc21-72eddd61697b
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,
SPIE - The International Society for Optical Engineering.
.
(doi:10.1117/12.428263).
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Conference or Workshop Item
(Paper)
Abstract
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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SPIE4403_13.pdf
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Published date: 2001
Venue - Dates:
Second International Conference on Singular Optics (Optical Vortices): Fundamentals and Applications, Crimea, Ukraine, 2000-10-02 - 2000-10-06
Identifiers
Local EPrints ID: 29376
URI: http://eprints.soton.ac.uk/id/eprint/29376
ISBN: 0819440981
PURE UUID: 7d903fe2-45bf-4830-89ab-646ac9a4d063
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Date deposited: 12 May 2006
Last modified: 15 Mar 2024 07:31
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Contributors
Author:
Mark Dennis
Editor:
Marat S. Soskin
Editor:
Mikhail V. Vasnetsov
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