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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 31, Iss. 9 — Sep. 1, 2014
  • pp: 1956–1962

Geometric algebra description of polarization mode dispersion, polarization-dependent loss, and Stokes tensor transformations

George Soliman, David Yevick, and Paul Jessop  »View Author Affiliations


JOSA A, Vol. 31, Issue 9, pp. 1956-1962 (2014)
http://dx.doi.org/10.1364/JOSAA.31.001956


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Abstract

This paper demonstrates that numerous calculations involving polarization transformations can be condensed by employing suitable geometric algebra formalism. For example, to describe polarization mode dispersion and polarization-dependent loss, both the material birefringence and differential loss enter as bivectors and can be combined into a single symmetric quantity. Their frequency and distance evolution, as well as that of the Stokes vector through an optical system, can then each be expressed as a single compact expression, in contrast to the corresponding Mueller matrix formulations. The intrinsic advantage of the geometric algebra framework is further demonstrated by presenting a simplified derivation of generalized Stokes parameters that include the electric field phase. This procedure simultaneously establishes the tensor transformation properties of these parameters.

© 2014 Optical Society of America

OCIS Codes
(060.2310) Fiber optics and optical communications : Fiber optics
(260.5430) Physical optics : Polarization

ToC Category:
Physical Optics

History
Original Manuscript: March 3, 2014
Revised Manuscript: May 31, 2014
Manuscript Accepted: July 12, 2014
Published: August 11, 2014

Citation
George Soliman, David Yevick, and Paul Jessop, "Geometric algebra description of polarization mode dispersion, polarization-dependent loss, and Stokes tensor transformations," J. Opt. Soc. Am. A 31, 1956-1962 (2014)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-9-1956

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