Invariant quantities of a nondepolarizing Mueller matrix

José J. Gil; Ignacio San José

doi:10.1364/JOSAA.33.001307

Invariant quantities of a nondepolarizing Mueller matrix

José J. Gil and Ignacio San José

Journal of the Optical Society of America A
Vol. 33,
Issue 7,
pp. 1307-1312
(2016)
•https://doi.org/10.1364/JOSAA.33.001307

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José J. Gil and Ignacio San José, "Invariant quantities of a nondepolarizing Mueller matrix," J. Opt. Soc. Am. A 33, 1307-1312 (2016)

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Related Topics
Table of Contents Category
- Polarization
Optics & Photonics Topics
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The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Ellipsometry and polarimetry (260.2130)
- Polarization (260.5430)
- Scattering, polarization (290.5855)

About this Article
History
- Original Manuscript: April 13, 2016
- Revised Manuscript: May 23, 2016
- Manuscript Accepted: May 23, 2016
- Published: June 9, 2016

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Abstract

Orthogonal Mueller matrices can be considered as corresponding either to retarders or to generalized transformations of the polarization basis for the representation of Stokes vectors, so that they constitute the only type of Mueller matrices that preserve the degree of polarization and the intensity of any partially polarized input Stokes vector. The physical quantities that remain invariant when a nondepolarizing Mueller matrix is transformed through its product by different types of orthogonal Mueller matrices are identified and interpreted, providing a better knowledge of the information contained in a nondepolarizing Mueller matrix.

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Transformation	Retardance Vectors	Independent Invariant Quantities	Other Invariant Quantities
Dual retarder	${\bar{R}}_{1}$ and/or ${\bar{R}}_{2}$ elliptic, with ${\bar{R}}_{2} \neq - {\bar{R}}_{1}$	$m_{00}, D$	$p_{1}^{2}, p_{2}^{2}, P_{S}$
Single retarder	${\bar{R}}_{1}$ elliptic, and ${\bar{R}}_{2} = - {\bar{R}}_{1}$	$m_{00}, D, η, Δ$	$p_{1}^{2}, p_{2}^{2}, P_{S}$
Dual rotation	${\bar{R}}_{1}$ and ${\bar{R}}_{2}$ circular, with ${\bar{R}}_{2} \neq - {\bar{R}}_{1}$	$m_{00}, D, {\bar{R}}_{C},$ $D_{C}, P_{C}$	$p_{1}^{2}, p_{2}^{2}, P_{S}, \bar{R}$ ${\bar{R}}_{L}, D_{L}, P_{L}, Δ$
Single rotation	${\bar{R}}_{1}$ and ${\bar{R}}_{2}$ circular, with ${\bar{R}}_{2} = - {\bar{R}}_{1}$	$m_{00}, D, {\bar{R}}_{C},$ $D_{C}, P_{C}, η$	$p_{1}^{2}, p_{2}^{2}, P_{S}, \bar{R}$ ${\bar{R}}_{L}, D_{L}, P_{L}, Δ$

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