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Phys. Rev. E 60, 7497–7503 (1999)

Matrix formulation for the propagation of light beams with orbital and spin angular momenta

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L. Allen
School of Physics and Astronomy, University of St. Andrews, Fife KY16 9SS, Scotland

J. Courtial and M. J. Padgett
Department of Physics and Astronomy, Kelvin Building, University of Glasgow, Glasgow G12 8QQ, Scotland

Received 26 May 1999; published in the issue dated December 1999

Jones matrices describe the polarization, or spin angular momentum, of a light beam as it passes through an optical system. We devise an equivalent of the Jones matrix formulation for light possessing orbital angular momentum. The matrices are then developed to account for light that has both spin and orbital angular momentum.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.60.7497
DOI:
10.1103/PhysRevE.60.7497
PACS:
42.25.Bs