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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 30, Iss. 11 — Nov. 1, 2013
  • pp: 2291–2305

Poincaré sphere mapping by Mueller matrices

Razvigor Ossikovski, José J. Gil, and Ignacio San José  »View Author Affiliations

JOSA A, Vol. 30, Issue 11, pp. 2291-2305 (2013)

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By using the symmetric serial decomposition of a normalized Mueller matrix M [J. Opt. Soc. Am. A 26, 1109 (2009)] as a starting point and by considering the reciprocity property of Mueller matrices, the geometrical features of the Poincaré sphere mapping by M are analyzed in order to obtain a new parameterization of M in which the 15 representative parameters have straightforward geometrical interpretations. This approach provides a new geometry-based framework, whereby any normalized Mueller matrix M is completely described by a set of three associated ellipsoids whose geometrical and topological properties are characteristic of M. The mapping analysis considers the cases of type-I and type-II, as well as singular and nonsingular Mueller matrices. The novel parameterization is applied to several illustrative examples of experimental Mueller matrices taken from the literature.

© 2013 Optical Society of America

OCIS Codes
(260.0260) Physical optics : Physical optics
(260.2130) Physical optics : Ellipsometry and polarimetry
(260.5430) Physical optics : Polarization
(290.5855) Scattering : Scattering, polarization

ToC Category:
Physical Optics

Original Manuscript: July 29, 2013
Manuscript Accepted: September 17, 2013
Published: October 17, 2013

Razvigor Ossikovski, José J. Gil, and Ignacio San José, "Poincaré sphere mapping by Mueller matrices," J. Opt. Soc. Am. A 30, 2291-2305 (2013)

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