Fractional Vortex Hilbert’s Hotel

Greg Gbur

doi:10.1364/FIO.2016.FTh4B.2

Frontiers in Optics 2016
OSA Technical Digest (online) (Optica Publishing Group, 2016),
paper FTh4B.2
•https://doi.org/10.1364/FIO.2016.FTh4B.2

Fractional Vortex Hilbert’s Hotel

Greg Gbur

Frontiers in Optics 2016

Rochester, New York United States
17–21 October 2016
ISBN: 978-1-943580-19-4

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Optical Vortices (FTh4B)

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G. Gbur, "Fractional Vortex Hilbert’s Hotel," in Frontiers in Optics 2016, OSA Technical Digest (online) (Optica Publishing Group, 2016), paper FTh4B.2.

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Abstract

We demonstrate theoretically how the unusual mathematics of infinite sets appears in the propagation of light through fractional vortex spiral waveplates. It is shown how Hilbert’s famous hotel is manifested in a singularity of vortices.

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