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Topological events on wave dislocation lines: birth and death of small loops, and reconnection

Topological events on wave dislocation lines: birth and death of small loops, and reconnection
Topological events on wave dislocation lines: birth and death of small loops, and reconnection
In three-dimensional space, a wave dislocation, that is, a quantized (optical) vortex or phase singularity, is a line zero of a complex scalar wavefunction. As a 'time' parameter varies, the topology of the vortex can change by encounter with a line of vanishing vorticity (curl of the current associated with the wavefunction). An isolated critical point of the field intensity, sliding along the zero-vorticity line like a bead on a wire, meets the vortex as it encounters the line, and so participates in the singular event. Local expansio n and gauge and coordinates transformations show that the vortex topology can change generically by the appearance or disappearance of a loop, or by the reconnection of branches of a pair of hyperbolas.
1751-8113
65-74
Berry, M.V.
ab44fe7c-0c8c-4c7a-981f-50fe4a5bc6ad
Dennis, M.R.
ff55cf66-eb8b-4eb9-83eb-230c2f223d61
Berry, M.V.
ab44fe7c-0c8c-4c7a-981f-50fe4a5bc6ad
Dennis, M.R.
ff55cf66-eb8b-4eb9-83eb-230c2f223d61

Berry, M.V. and Dennis, M.R. (2007) Topological events on wave dislocation lines: birth and death of small loops, and reconnection. Journal of Physics A: Mathematical and Theoretical, 40, 65-74. (doi:10.1088/1751-8113/40/1/004).

Record type: Article

Abstract

In three-dimensional space, a wave dislocation, that is, a quantized (optical) vortex or phase singularity, is a line zero of a complex scalar wavefunction. As a 'time' parameter varies, the topology of the vortex can change by encounter with a line of vanishing vorticity (curl of the current associated with the wavefunction). An isolated critical point of the field intensity, sliding along the zero-vorticity line like a bead on a wire, meets the vortex as it encounters the line, and so participates in the singular event. Local expansio n and gauge and coordinates transformations show that the vortex topology can change generically by the appearance or disappearance of a loop, or by the reconnection of branches of a pair of hyperbolas.

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Published date: 2007
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 42450
URI: https://eprints.soton.ac.uk/id/eprint/42450
ISSN: 1751-8113
PURE UUID: 5be89cf5-06cf-4e4e-a2b5-773969d446fa

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Date deposited: 08 Dec 2006
Last modified: 13 Mar 2019 21:11

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