2006/11/15 by Jörg B. Götte, J. B. Goette, S. Franke-Arnold +4 · 133 citations
Engineering · Mathematics · Physics and Astronomy · #Angular momentum #Angular momentum coupling #Angular momentum of light #Angular momentum operator #Azimuthal quantum number #Classical mechanics #Discontinuity (linguistics) #Experimental and Theoretical Physics Studies #Formalism (music) #Mathematical analysis #Mathematics #Optical Polarization and Ellipsometry #Optics #Orbital Angular Momentum in Optics #Orbital angular momentum multiplexing #Orbital angular momentum of light #Orbital motion #Paraxial approximation #Physics #Quantum #Quantum electrodynamics #Quantum mechanics #Total angular momentum quantum number #quant-ph
paper · pdf · doi:10.1080/09500340601156827
published in Journal of Modern Optics 54(12), 1723-1738 (Taylor & Francis) · 14 pages, 6 figure (figures are of low quality due to jpeg2ps conversion), submitted to J Mod Opt special issue for the Photon 06 conference
arxiv created 2006/11/15 · openalex publication_date 2007/08/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.