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).
- Pre print
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|
|Subjects:||Q Science > QA Mathematics
Q Science > QC Physics
|Divisions:||University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
|Date Deposited:||12 May 2006|
|Last Modified:||28 Jun 2012 10:13|
|Contributors:||Dennis, Mark (Author)
Soskin, Marat S. (Editor)
Vasnetsov, Mikhail V. (Editor)
|Publisher:||International Society for Optical Engineering|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
Actions (login required)