Quantum formulation of fractional orbital angular momentum

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Goette, J. B. and Franke-Arnold, S. and Zambrini, R. and Barnett, Stephen M. (2007) Quantum formulation of fractional orbital angular momentum. Journal of Modern Optics, 54 (12). pp. 1723-1738. ISSN 1362-3044 (https://doi.org/10.1080/09500340601156827)

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Abstract

The quantum theory of rotation angles [ S. M. Barnett and D. T. Pegg, Phys. Rev. A 41 3427 ( 1990)] is generalized to non-integer values of the orbital angular momentum. This requires the introduction of an additional parameter, the orientation of a phase discontinuity associated with fractional values of the orbital angular momentum. We apply our formalism to the propagation of light modes with fractional orbital angular momentum in the paraxial and non-paraxial regime.

  • Item type:Article
    ID code:31069
    Dates:
    Date
    Event
    2007
    Published
    Subjects:Science > Physics > Optics. Light
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:22 Jun 2011 14:20
    Last modified:11 Nov 2024 09:44
    URI:https://strathprints.strath.ac.uk/id/eprint/31069
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