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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 4 — Apr. 1, 2009
  • pp: 783–793

Pseudopolar decomposition of the Jones and Mueller–Jones exponential polarization matrices

Oriol Arteaga and Adolf Canillas  »View Author Affiliations

JOSA A, Vol. 26, Issue 4, pp. 783-793 (2009)

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We propose a new algorithm, the pseudopolar decomposition, to decompose a Jones or a Mueller–Jones matrix into a sequence of matrix factors: J J R J D J 1 C J 2 C or M M R M D M 1 C M 2 C . The matrices J R ( M R ) and J D ( M D ) parameterize, respectively, the retardation and dichroic properties of J ( M ) in a good approximation, while J i C ( M i C ) are correction factors that arise from the noncommutativity of the polarization properties. The exponential versions of the general Jones matrix are used to demonstrate the pseudopolar decomposition and to calculate each one of the matrix factors. The decomposition preserves all the polarization properties of the system on the factorized J R ( M R ) and J D ( M D ) matrix terms. The algorithm that calculates the pseudopolar decomposition for experimentally determined Mueller matrices is presented.

© 2009 Optical Society of America

OCIS Codes
(120.2130) Instrumentation, measurement, and metrology : Ellipsometry and polarimetry
(260.1440) Physical optics : Birefringence
(260.5430) Physical optics : Polarization

ToC Category:
Physical Optics

Original Manuscript: July 18, 2008
Revised Manuscript: January 22, 2009
Manuscript Accepted: January 30, 2009
Published: March 17, 2009

Oriol Arteaga and Adolf Canillas, "Pseudopolar decomposition of the Jones and Mueller-Jones exponential polarization matrices," J. Opt. Soc. Am. A 26, 783-793 (2009)

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