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Local phase structure of wave dislocation lines: twist and twirl

Local phase structure of wave dislocation lines: twist and twirl
Local phase structure of wave dislocation lines: twist and twirl
Generic wave dislocations (phase singularities, optical vortices) in three dimensions have anisotropic local structure, which is analysed, with emphasis on the twist of surfaces of equal phase along the singular line, and the rotation of the local anisotropy ellipse (twirl). Various measures of twist and twirl are compared in specific examples, and a theorem is found relating the (quantized) topological twist and twirl for a closed dislocation loop with the anisotropy C line index threading the loop.
phase singularity, optical vortex, screw dislocation, topology
1741-3567
S202-S208
Dennis, M.R.
ff55cf66-eb8b-4eb9-83eb-230c2f223d61
Dennis, M.R.
ff55cf66-eb8b-4eb9-83eb-230c2f223d61

Dennis, M.R. (2004) Local phase structure of wave dislocation lines: twist and twirl. Journal of Optics A: Pure and Applied Optics, 6 (5), S202-S208. (doi:10.1088/1464-4258/6/5/011).

Record type: Article

Abstract

Generic wave dislocations (phase singularities, optical vortices) in three dimensions have anisotropic local structure, which is analysed, with emphasis on the twist of surfaces of equal phase along the singular line, and the rotation of the local anisotropy ellipse (twirl). Various measures of twist and twirl are compared in specific examples, and a theorem is found relating the (quantized) topological twist and twirl for a closed dislocation loop with the anisotropy C line index threading the loop.

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Published date: 2004
Keywords: phase singularity, optical vortex, screw dislocation, topology

Identifiers

Local EPrints ID: 29389
URI: https://eprints.soton.ac.uk/id/eprint/29389
ISSN: 1741-3567
PURE UUID: cd855ead-ce4e-4b1c-a1cf-a8ccdf2a1cbe

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Date deposited: 11 May 2006
Last modified: 17 Jul 2017 15:58

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