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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 46, Iss. 30 — Oct. 20, 2007
  • pp: 7354–7364

Noise distribution of Mueller matrices retrieved with active rotating polarimeters

Yoshitate Takakura and Jawad Elsayed Ahmad  »View Author Affiliations


Applied Optics, Vol. 46, Issue 30, pp. 7354-7364 (2007)
http://dx.doi.org/10.1364/AO.46.007354


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Abstract

Two methods used to retrieve Mueller matrices from intensity measurements are revisited. It is shown that with symmetry or orthogonality considerations, numerical inversions of polarimetric equations can be avoided. With the obtained analytical formulas, noise propagation can be analyzed. If the intensity noise is a Gaussian white noise, the noise of Mueller matrices features remarkable properties. Mueller components are mutually correlated according to a scheme that involves decomposition into four blocks of 2 × 2 matrices. Variances are unequally distributed: the middle 2 × 2 block has the highest variance, the element on the bottom right has the lowest. These characteristics have been validated on experimental Mueller images of the free space.

© 2007 Optical Society of America

OCIS Codes
(110.4280) Imaging systems : Noise in imaging systems
(120.5410) Instrumentation, measurement, and metrology : Polarimetry
(260.5430) Physical optics : Polarization

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: April 25, 2007
Revised Manuscript: August 27, 2007
Manuscript Accepted: August 27, 2007
Published: October 10, 2007

Citation
Yoshitate Takakura and Jawad Elsayed Ahmad, "Noise distribution of Mueller matrices retrieved with active rotating polarimeters," Appl. Opt. 46, 7354-7364 (2007)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-46-30-7354

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