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Braided nodal lines in wave superpositions

Braided nodal lines in wave superpositions
Braided nodal lines in wave superpositions
Nodal lines (phase singularities, optical vortices) are the generic interference fringes of complex scalar waves. Here, an exact complex solution of the time-independent wave equation (Helmholtz equation) is considered, possessing nodal lines which are braided in the form of a borromean, or pigtail braid. The braid field is a superposition of counterpropagating, counterrotating, non-coaxial third-order Bessel beams and a plane wave whose propagation is perpendicular to that of the beams. The construction is structurally stable, and can be generalized to a limited class of other braids.
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Dennis, M.R.
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Dennis, M.R.
ff55cf66-eb8b-4eb9-83eb-230c2f223d61

Dennis, M.R. (2003) Braided nodal lines in wave superpositions. New Journal of Physics, 5 (134), 1-8. (doi:10.1088/1367-2630/5/1/134).

Record type: Article

Abstract

Nodal lines (phase singularities, optical vortices) are the generic interference fringes of complex scalar waves. Here, an exact complex solution of the time-independent wave equation (Helmholtz equation) is considered, possessing nodal lines which are braided in the form of a borromean, or pigtail braid. The braid field is a superposition of counterpropagating, counterrotating, non-coaxial third-order Bessel beams and a plane wave whose propagation is perpendicular to that of the beams. The construction is structurally stable, and can be generalized to a limited class of other braids.

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Published date: 2003

Identifiers

Local EPrints ID: 29384
URI: https://eprints.soton.ac.uk/id/eprint/29384
PURE UUID: 8691a80f-8c51-42af-815f-ed8309b85654

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Date deposited: 12 May 2006
Last modified: 19 Jul 2019 19:01

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