3D polarimetric purity

Gil, José J.; José, Ignacio San

doi:10.1016/j.optcom.2010.04.090

Cited by 46 publications

(44 citation statements)

References 19 publications

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“…Nevertheless, (3) P does not provide complete information about the polarimetric purity of a 3D state of polarization R, and two quantities like the two indices of polarimetric purity [3,9,10,17] are required…”

Section: A T a T A T E A T A T E A T A T E A T A T A T E A T A T E A mentioning

confidence: 99%

“…Thus, while the pair   1 2 , P P provides detailed information of the structure of the polarimetric purity of R, P (3) represents an overall measure of polarimetric purity of R, which can be calculated from 1 P and 2 P by the weighted quadratic average [3,17] …”

Section: A T a T A T E A T A T E A T A T E A T A T A T E A T A T E A mentioning

confidence: 99%

“…Several relevant contributions have been published in the recent years concerning aspects as the interpretation of physical quantities derived from the eigenvalues of the coherency matrix R [1][2][3][4][5][6][7][8][9][10][11][12]; geometric interpretation of 3D states [13][14][15][16][17][18][19]; coherent composition of pure (or totally polarized) states [20]; incoherent composition and decomposition of pure and mixed states [4,7,9,17,21]; 3D polarimetry [22,23]; statistical and coherence properties of 3D states [24][25][26][27][28], generalized Stokes parameters [16,1,9,13,29], etc.…”

Section: Introductionmentioning

confidence: 99%

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Interpretation of the coherency matrix for three-dimensional polarization states

Gil

2014

Phys. Rev. A

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From an appropriate parameterization of the three-dimensional (3D) coherency matrix R, that characterizes the second-order, classical states of polarization, the coherency matrices are classified and interpreted in terms of incoherent decompositions. The relevant physical quantities derived from R, as the intensity, the degree of polarimetric purity, the indices of polarimetric purity, the angular momentum, the degree of directionality and the degree of linear polarization are identified and interpreted on the light of the case study performed. The information provided by R about the direction of propagation is clarified and it is found that coherency matrices with rank 2  R , does not always represent states with a well-defined direction of propagation. Moreover, it is demonstrated the existence of 3D mixed states that cannot be decomposed into a superposition of a pure state, a 2D unpolarized state, and a 3D unpolarized state. Appropriate representation and interpretation for all the different types of 3D coherency matrices is provided through physical consistent criteria. Under the approach proposed, the conventional two-dimensional model arises naturally.

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Section: A T a T A T E A T A T E A T A T E A T A T A T E A T A T E A mentioning

confidence: 99%

Section: A T a T A T E A T A T E A T A T E A T A T A T E A T A T E A mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Interpretation of the coherency matrix for three-dimensional polarization states

Gil

2014

Phys. Rev. A

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“…Our analysis adds to and clarifies much of the discussion on measures of higher dimensional polarization in the literature [13][14][15][16][17][18][19][20], classifying the measures and analyzing their relationship.…”

Section: Introductionmentioning

confidence: 65%

Measures of quantum state purity and classical degree of polarization

Gamel

James

2012

Phys. Rev. A

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There is a well known mathematical similarity between two dimensional classical polarization optics and two level quantum systems, where the Poincare and Bloch spheres are identical mathematical structures. This analogy implies classical degree of polarization and quantum purity are in fact the same quantity. We make extensive use of this analogy to analyze various measures of polarization for higher dimensions proposed in the literature, and in particular, the N = 3 case, illustrating interesting relationships that emerge as well the advantages of each measure. We also propose a possible new class of measures of entanglement based on purity of subsystems.

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“…Note that, in accordance with Ellis et al [16,17] we consider preferable to reserve the term degree of polarization for the quantity defined as P 1 ≡ (λ 1 − λ 2 )/(tr R), which is precisely the so-called first index of polarimetric purity [7,8,18]. This comment does not restrict the known fact that a complete characterization of the structure of randomness of a 3D state of polarization requires two parameters, as for instance the two indices of polarimetric purity [7].…”

Section: Intrinsic Stokes Parametersmentioning

confidence: 85%

Intrinsic Stokes parameters for 3D and 2D polarization states

Gil

2015

J. Eur. Opt. Soc.-Rapid Publ.

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The second-order characterization of a three-dimensional (3D) state of polarization is provided either by the corresponding 3D coherency matrix or (equivalently) by the associated 3D Stokes parameters. The analysis of the polarization properties that are invariant under orthogonal transformations of the laboratory reference frame allows to define a set of six intrinsic Stokes parameters which provides a simplified interpretation of 3D states of polarization in terms of meaningful physical properties. The rotationally invariant properties of 2D states of polarization are straightforwardly retrieved in a consistent way, so that the 2D intrinsic Stokes parameters are constituted by the intensity, the degree of linear polarization and the degree of circular polarization.

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3D polarimetric purity

Cited by 46 publications

References 19 publications

Interpretation of the coherency matrix for three-dimensional polarization states

Interpretation of the coherency matrix for three-dimensional polarization states

Measures of quantum state purity and classical degree of polarization

Intrinsic Stokes parameters for 3D and 2D polarization states

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