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Proceedings Article

Local properties and statistics of phase singularities in generic wavefields

[+] Author Affiliations
Mark Dennis

Univ. of Bristol (United Kingdom)

Proc. SPIE 4403, Second International Conference on Singular Optics (Optical Vortices): Fundamentals and Applications, 13 (May 30, 2001); doi:10.1117/12.428263
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From Conference Volume 4403

  • Second International Conference on Singular Optics (Optical Vortices): Fundamentals and Applications
  • Marat S. Soskin; Mikhail V. Vasnetsov
  • Crimea, Ukraine | October 02, 2000

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.

© (2001) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
Citation

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, 13 (May 30, 2001); doi:10.1117/12.428263; http://dx.doi.org/10.1117/12.428263


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