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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 18 — Sep. 1, 2008
  • pp: 14274–14287

Estimation of physically realizable Mueller matrices from experiments using global constrained optimization

Jawad Elsayed Ahmad and Yoshitate Takakura  »View Author Affiliations

Optics Express, Vol. 16, Issue 18, pp. 14274-14287 (2008)

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One can explicitly retrieve physically realizable Mueller matrices from quantified intensity data even in the presence of noise. This is done by integrating the physical realizability criterion obtained by Givens and Kostinski, [J. Mod. Opt. 40, 471 (1993)], as an active constraint in a global optimization process. Among different global optimization techniques, two of them have been tested and their robustness analyzed: a deterministic approach based on sequential quadratic programming and a stochastic approach based on constrained simulated annealing algorithms are implemented for this purpose. We illustrate the validity of both methods on experimental data and on the inadmissible Mueller matrix given by Howell, [Appl. Opt. 18, No. 6, 808-812 (1979)]. In comparison, the constrained simulated annealing method produced higher accuracy with similar computing time.

© 2008 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(120.4820) Instrumentation, measurement, and metrology : Optical systems
(120.5410) Instrumentation, measurement, and metrology : Polarimetry
(230.5440) Optical devices : Polarization-selective devices

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: July 9, 2008
Revised Manuscript: August 15, 2008
Manuscript Accepted: August 16, 2008
Published: August 28, 2008

Jawad Elsayed Ahmad and Yoshitate Takakura, "Estimation of physically realizable Mueller matrices from experiments using global constrained optimization," Opt. Express 16, 14274-14287 (2008)

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