Mueller matrix roots algorithm and computational considerations

HD Noble, RA Chipman - Optics Express, 2012 - opg.optica.org
Recently, an order-independent Mueller matrix decomposition was proposed in an effort to
elucidate the nine depolarization degrees of freedom [Handbook of Optics, Vol. 1 of Mueller …

Interpretation of Mueller matrices based on polar decomposition

SY Lu, RA Chipman - JOSA A, 1996 - opg.optica.org
We present an algorithm that decomposes a Mueller matrix into a sequence of three matrix
factors: a diattenuator, followed by a retarder, then followed by a depolarizer. Those factors …

Reduced form of a Mueller matrix

JJ Gil, I San José - Journal of Modern Optics, 2016 - Taylor & Francis
Through a simple procedure based on the Lu–Chipman decomposition [S.-Y. Lu and RC
Chipman, J. Opt. Soc. Am. A 13, 1106 (1996)], any depolarizing Mueller matrix can be …

Product decompositions of depolarizing Mueller matrices with negative determinants

R Ossikovski, M Anastasiadou, A De Martino - Optics communications, 2008 - Elsevier
We show that the product decomposition of a depolarizing Mueller matrix (S.-Y. Lu, RA
Chipman, J. Opt. Soc. Am. A 13 (1996) 1106) as well as the recently proposed reverse …

Analysis of depolarizing Mueller matrices through a symmetric decomposition

R Ossikovski - JOSA A, 2009 - opg.optica.org
A product decomposition of a depolarizing Mueller matrix consisting in the sequence of five
factors—a diagonal depolarizer stacked between two retarder and diattenuator pairs—is …

Transmittance constraints in serial decompositions of depolarizing Mueller matrices: the arrow form of a Mueller matrix

JJ Gil - JOSA A, 2013 - opg.optica.org
The passivity of the linear components in the main approaches for serial decompositions of
depolarizing Mueller matrices [J. Opt. Soc. Am. A13, 1106 (1996); J. Opt. Soc. Am. A26, 1109 …

Eigenvalue-based depolarization metric spaces for Mueller matrices

R Ossikovski, J Vizet - JOSA A, 2019 - opg.optica.org
We present a unified formal description and a detailed study of the depolarization spaces
defined by various depolarization metrics based on the eigenvalues of the covariance matrix …

Parameterization of the Mueller matrix

CJR Sheppard - JOSA A, 2016 - opg.optica.org
A deterministic Mueller matrix (Mueller–Jones matrix) contains seven independent
parameters. By writing the so-called coherence vector in parametric form, the Mueller matrix …

Interpretation of nondepolarizing Mueller matrices based on singular-value decomposition

R Ossikovski - JOSA A, 2008 - opg.optica.org
A product decomposition of a nondepolarizing Mueller matrix consisting of the sequence of
three factors—a first linear retarder, a horizontal or vertical" retarding diattenuator," and a …

Dealing depolarization of light in Mueller matrices with scalar metrics

R Espinosa-Luna, G Atondo-Rubio, E Bernabeu… - Optik, 2010 - Elsevier
A number of depolarization metrics is applied to a series of reported Mueller matrices. It is
shown the depolarization scalar metric Q (M) provides consistent results with the reported …