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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 34, Iss. 4 — Feb. 15, 2009
  • pp: 410–412

Phase-space rotations and orbital Stokes parameters

Tatiana Alieva and Martin J. Bastiaans  »View Author Affiliations


Optics Letters, Vol. 34, Issue 4, pp. 410-412 (2009)
http://dx.doi.org/10.1364/OL.34.000410


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Abstract

We introduce the orbital Stokes parameters as a linear combination of a beam’s second-order moments. Similar to the ones describing the field polarization and associated with beam energy and its spin angular momentum, the orbital Stokes parameters are related to the total beam width and its orbital angular momentum. We derive the transformation laws for these parameters during beam propagation through first-order optical systems associated with phase-space rotations. The values of the orbital Stokes parameters for Gaussian modes and arbitrary fields expressed as their linear superposition are obtained.

© 2009 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(080.2730) Geometric optics : Matrix methods in paraxial optics
(080.2468) Geometric optics : First-order optics
(070.2575) Fourier optics and signal processing : Fractional Fourier transforms
(140.3295) Lasers and laser optics : Laser beam characterization
(080.5084) Geometric optics : Phase space methods of analysis

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: October 14, 2008
Revised Manuscript: December 16, 2008
Manuscript Accepted: December 16, 2008
Published: February 5, 2009

Citation
Tatiana Alieva and Martin J. Bastiaans, "Phase-space rotations and orbital Stokes parameters," Opt. Lett. 34, 410-412 (2009)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-34-4-410


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