Abstract

The manuscript proposes a novel virtual experiment nondepolarizing estimate, as an alternative to the Cloude sum decomposition estimate, to be used in the extraction of the elementary polarization properties of a medium from its experimentally determined Mueller matrix. The estimate results from the minimization of a least squares estimator based on the light intensities virtually produced by the experimental Mueller matrix. The retrieval procedure and the properties of the estimate are described and compared to those of the Cloude estimate on an experimental Mueller matrix from the literature.

© 2012 Optical Society of America

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References

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2011 (3)

S. Savenkov, R. Muttiah, E. Oberemok, and A. Klimov, J. Quant. Spectrosc. Radiat. Transfer 112, 1796 (2011).
[CrossRef]

N. Ortega-Quijano and J. L. Arce-Diego, Opt. Lett. 36, 1942 (2011).
[CrossRef]

R. Ossikovski, Opt. Lett. 36, 2330 (2011).
[CrossRef]

2010 (3)

2009 (1)

2008 (1)

R. Ossikovski, M. Anastasiadou, S. Ben Hatit, E. Garcia-Caurel, and A. De Martino, Phys. Status Solidi A 205, 720 (2008).
[CrossRef]

2007 (1)

1994 (1)

1986 (2)

S. R. Cloude, Optik 75, 26 (1986).

J. J. Gil and E. Bernabeu, Opt. Acta 33, 185 (1986).
[CrossRef]

Anastasiadou, M.

R. Ossikovski, M. Anastasiadou, S. Ben Hatit, E. Garcia-Caurel, and A. De Martino, Phys. Status Solidi A 205, 720 (2008).
[CrossRef]

Anderson, D. G. M.

Arce-Diego, J. L.

Arteaga, O.

Barakat, R.

Ben Hatit, S.

R. Ossikovski, M. Anastasiadou, S. Ben Hatit, E. Garcia-Caurel, and A. De Martino, Phys. Status Solidi A 205, 720 (2008).
[CrossRef]

Bernabeu, E.

J. J. Gil and E. Bernabeu, Opt. Acta 33, 185 (1986).
[CrossRef]

Canillas, A.

Cloude, S. R.

S. R. Cloude, Optik 75, 26 (1986).

De Martino, A.

R. Ossikovski, M. Anastasiadou, S. Ben Hatit, E. Garcia-Caurel, and A. De Martino, Phys. Status Solidi A 205, 720 (2008).
[CrossRef]

R. Ossikovski, A. De Martino, and S. Guyot, Opt. Lett. 32, 689 (2007).
[CrossRef]

Garcia-Caurel, E.

R. Ossikovski, M. Anastasiadou, S. Ben Hatit, E. Garcia-Caurel, and A. De Martino, Phys. Status Solidi A 205, 720 (2008).
[CrossRef]

Ghosh, N.

N. Ghosh, M. F. G. Wood, and I. A. Vitkin, Opt. Commun. 283, 1200 (2010).
[CrossRef]

Gil, J. J.

J. J. Gil and E. Bernabeu, Opt. Acta 33, 185 (1986).
[CrossRef]

Guyot, S.

Hoover, B. G.

Johnson, S. J.

Klimov, A.

S. Savenkov, R. Muttiah, E. Oberemok, and A. Klimov, J. Quant. Spectrosc. Radiat. Transfer 112, 1796 (2011).
[CrossRef]

Muttiah, R.

S. Savenkov, R. Muttiah, E. Oberemok, and A. Klimov, J. Quant. Spectrosc. Radiat. Transfer 112, 1796 (2011).
[CrossRef]

Oberemok, E.

S. Savenkov, R. Muttiah, E. Oberemok, and A. Klimov, J. Quant. Spectrosc. Radiat. Transfer 112, 1796 (2011).
[CrossRef]

Ortega-Quijano, N.

Ossikovski, R.

Savenkov, S.

S. Savenkov, R. Muttiah, E. Oberemok, and A. Klimov, J. Quant. Spectrosc. Radiat. Transfer 112, 1796 (2011).
[CrossRef]

Scott Tyo, J.

Vitkin, I. A.

N. Ghosh, M. F. G. Wood, and I. A. Vitkin, Opt. Commun. 283, 1200 (2010).
[CrossRef]

Wang, Z.

Wood, M. F. G.

N. Ghosh, M. F. G. Wood, and I. A. Vitkin, Opt. Commun. 283, 1200 (2010).
[CrossRef]

Appl. Opt. (1)

J. Opt. Soc. Am. A (2)

J. Quant. Spectrosc. Radiat. Transfer (1)

S. Savenkov, R. Muttiah, E. Oberemok, and A. Klimov, J. Quant. Spectrosc. Radiat. Transfer 112, 1796 (2011).
[CrossRef]

Opt. Acta (1)

J. J. Gil and E. Bernabeu, Opt. Acta 33, 185 (1986).
[CrossRef]

Opt. Commun. (1)

N. Ghosh, M. F. G. Wood, and I. A. Vitkin, Opt. Commun. 283, 1200 (2010).
[CrossRef]

Opt. Lett. (4)

Optik (1)

S. R. Cloude, Optik 75, 26 (1986).

Phys. Status Solidi A (1)

R. Ossikovski, M. Anastasiadou, S. Ben Hatit, E. Garcia-Caurel, and A. De Martino, Phys. Status Solidi A 205, 720 (2008).
[CrossRef]

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Equations (15)

Equations on this page are rendered with MathJax. Learn more.

δM2=i,j(MeijMCij)2min,
Iij=siTMesj,
δI2=i,j(IijsiTMJsj)2min,
MJ=T(JJ*)T1,
T=[1001100101100ii0],
si,j=T(ei,jei,j*),
δI2=i,j(Iij2|ei+Jej|2)2=min,
si,j=[1111aaaaaaaaaaaa],a=13,
Me=[10.07070.03480.00600.04800.40990.00770.06500.01620.01840.22430.35800.00210.04650.35710.1783].
MC=[0.56140.07890.03100.00760.07990.55690.04200.04980.02540.02580.27630.48120.01460.05840.48040.2719],
MJ=[0.85330.07150.02880.00840.07240.84700.06280.07700.02470.03780.42270.73660.01310.09130.73500.4167].
MCn=[10.14060.05510.01360.14240.99190.07480.08860.04520.04600.49210.85720.02600.10400.85570.4844],
MJn=[10.08380.03380.00990.08480.99270.07360.09030.02900.04430.49540.86330.01530.10690.86140.4883].
LD=12(L12+L21),
L=lnM.

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