Quantum formulation of fractional orbital angular momentum

J. B. Goette, S. Franke-Arnold, R. Zambrini, Stephen M. Barnett

Research output: Contribution to journalArticle

84 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1723-1738
Number of pages16
JournalJournal of Modern Optics
Volume54
Issue number12
DOIs
Publication statusPublished - 2007

Keywords

  • phase
  • light
  • optics
  • quantum theory

Cite this

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