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Spatial–angular Mueller matrices

Optics Communications, 2006
Arbitrary polarization changing devices are described within paraxial approximation by their action on the spatial angular Stokes parameters associated with the generalized rays of a Wigner formulation of wave optics. This approach leads to the introduction of generalized Mueller matrices being functions of the spatial and angular variables ...
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Alternative depolarization criteria for Mueller matrices

Journal of the Optical Society of America A, 2010
It is shown that the currently used depolarization criteria of Gil and Bernabeu [Opt. Acta 33, 185 (1986)] and Cloude [Optik (Stuttgart) 75, 26 (1986)] may produce erroneous results when applied to a special class of Mueller matrices. Alternative criteria, based on the Lorentz singular values of the Mueller matrix, are proposed.
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Canonical forms of depolarizing Mueller matrices

Journal of the Optical Society of America A, 2009
It is shown that any depolarizing Mueller matrix can be reduced, through a product decomposition, to one of a total of two canonical depolarizer forms, a diagonal and a non-diagonal one. As a consequence, depolarizing Mueller matrices can be divided into Stokes diagonalizable and Stokes non-diagonalizable ones.
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Constraints on Mueller matrices of polarization optics

Applied Optics, 1993
The issue of physical realizability constraints on depolarizing scattering or imaging systems is addressed. In particular, the overpolarization problem, i.e., the problem of ensuring that the output degree of polarization is always smaller than (or equal to) unity, is discussed in detail.
A B, Kostinski   +2 more
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A complete characterization of pre-Mueller and Mueller matrices in polarization optics

Journal of the Optical Society of America A, 2010
The Mueller-Stokes formalism that governs conventional polarization optics is formulated for plane waves, and thus the only qualification one could require of a 4 x 4 real matrix M in order that it qualify to be the Mueller matrix of some physical system would be that M map Omega((pol)), the positive solid light cone of Stokes vectors, into itself.
Simon, BN   +6 more
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Physical significance of experimental Mueller matrices

Journal of the Optical Society of America A, 1998
The recent result obtained by Givens Kostinski [J. Mod. Opt.40, 471 (1993)] successfully solves the old and important problem in polarization optics of characterizing a given 4×4 matrix as a Mueller matrix from a mathematical point of view.
LANDI DEGL'INNOCENTI, EGIDIO   +1 more
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THE CONE OF THE MUELLER MATRICES

2023
In the study of polarized light, there are two basic notions: the Stokes vectors and the matrices which preserve them, called Mueller matrices. The set of Stokes vectors forms a cone: the Future Light Cone. In this work we will see that the Mueller matrices also form a cone in the vector space of real matrices of size 4X4, called the Mueller Cone.
J. Othon Parra-Alcantar   +2 more
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A Depolarization Criterion in Mueller Matrices

Optica Acta: International Journal of Optics, 1985
A necessary and sufficient scalar condition for a Mueller matrix M to describe a non-depolarizing optical system is obtained. By computing only one scalar parameter, it can be determined whether a given Mueller matrix M describes a non-depolarizing, or a depolarizing optical system.
José Jorge Gil, Eusebio Bernabeu
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Classification of Depolarizing Mueller Matrices

Frontiers in Optics, 2006
Within the sixteen-dimensional space of Mueller matrices, nine degrees of freedom are associated with depolarization which can be visualized using Degree of Polarization Surfaces, and Maps.
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Mueller Matrices and Depolarization Criteria

Journal of Modern Optics, 1987
The question of whether a given Mueller matrix represents a deterministic or a non-deterministic system is analysed by means of a matrix condition. The possibility of replacing this matrix condition by a scalar condition is examined. It is shown that this is permissible only for those cases where a Hermitian matrix constructed from the Mueller matrix ...
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