30 May 2001 Local properties and statistics of phase singularities in generic wavefields
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Proceedings Volume 4403, Second International Conference on Singular Optics (Optical Vortices): Fundamentals and Applications; (2001) https://doi.org/10.1117/12.428263
Event: Singular Optics 2000: Fundamentals and Applications of Optical Vortices, 2000, Crimea, Ukraine
Abstract
This paper is a review and extension of recent work by Berry and Dennis (Proc. Roy. Soc. Lond. A456, pp. 2059-2079, 2000; A457, pp. 141-155, 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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Mark Dennis, Mark Dennis, } "Local properties and statistics of phase singularities in generic wavefields", Proc. SPIE 4403, Second International Conference on Singular Optics (Optical Vortices): Fundamentals and Applications, (30 May 2001); doi: 10.1117/12.428263; https://doi.org/10.1117/12.428263
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