Converting an nth-order edge dislocation to a set of optical vortices

We show theoretically that an astigmatic transformation of an edge dislocation (a straight line of zero intensity) of the n-th order forms n elliptical optical vortices (screw dislocations) with a unit topological charge at twice the focal distance from a cylindrical lens. The vortices are located o...

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Bibliographic Details
Published in:Optik (Stuttgart) 2021-10, Vol.243, p.167453, Article 167453
Main Authors: Kotlyar, V.V., Kovalev, A.A., Nalimov, A.G.
Format: Article
Language:English
Subjects:
Astigmatic transformation
Edge dislocation
Optical vortex
Screw dislocation
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Summary:We show theoretically that an astigmatic transformation of an edge dislocation (a straight line of zero intensity) of the n-th order forms n elliptical optical vortices (screw dislocations) with a unit topological charge at twice the focal distance from a cylindrical lens. The vortices are located on a straight line perpendicular to the edge dislocation at points with coordinates equal to the roots of an n-th order Hermite polynomial. The orbital angular momentum of an edge dislocation with an astigmatic phase is found to be proportional to n.
ISSN:0030-4026
1618-1336
DOI:10.1016/j.ijleo.2021.167453