Components of Purity to Describe the Polarimetric State of a 3-D Field Within the Reverberating Chamber

Migliaccio, Maurizio; Sorrentino, Antonio; Nunziata, Ferdinando; Gil, José J.; Cappa, Sergio

doi:10.1109/temc.2020.2993898

Cited by 2 publications

(2 citation statements)

References 37 publications

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“…The general framework introduced provides invariant descriptors for n-dimensional density matrices that, in turn, have been proven to be fruitful for the study of three-dimensional states of polarization [4,6,7,13,23,24,27,28,30,[36][37][38][40][41][42][43][44][45][46][47][48] and of the polarimetric properties of material media [4,5,8,13,[23][24][25][32][33][34][35][49][50][51], which supports a well-founded expectation for its useful application to n-dimensional density matrices representing quantum or classical systems.…”

Section: Discussionmentioning

confidence: 80%

Sources of Asymmetry and the Concept of Nonregularity of n-Dimensional Density Matrices

Gil

2020

Symmetry

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The information contained in an n-dimensional (nD) density matrix ρ is parametrized and interpreted in terms of its asymmetry properties through the introduction of a family of components of purity that are invariant with respect to arbitrary rotations of the nD Cartesian reference frame and that are composed of two categories of meaningful parameters of different physical nature: the indices of population asymmetry and the intrinsic coherences. It is found that the components of purity coincide, up to respective simple coefficients, with the intrinsic Stokes parameters, which are also introduced in this work, and that determine two complementary sources of purity, namely the population asymmetry and the correlation asymmetry, whose weighted square average equals the overall degree of purity of ρ. A discriminating decomposition of ρ as a convex sum of three density matrices, viz. the pure, the fully random (maximally mixed) and the discriminating component, is introduced, which allows for the definition of the degree of nonregularity of ρ as the distance from ρ to a density matrix of a system composed of a pure component and a set of 2D, 3D,… and nD maximally mixed components. The chiral properties of a state ρ are analyzed and characterized from its intimate link to the degree of correlation asymmetry. The results presented constitute a generalization to nD systems of those established and exploited for polarization density matrices in a series of previous works.

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Section: Discussionmentioning

confidence: 80%

Sources of Asymmetry and the Concept of Nonregularity of n-Dimensional Density Matrices

Gil

2020

Symmetry

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“…In the optical range, some theoretical analyses and experimental demonstrations, e.g. in a reverberating chamber, have been made to extend the polarization description to non-planar waves [18]- [21]. Here, we use 3D Jones vector description of the sensing fields along with a 3 × 3 susceptibility tensor of the target for the microwave polarimetric imaging.…”

Section: Introductionmentioning

confidence: 99%

Advanced Processing of 3D Computational Microwave Polarimetry Using a Near-Field Frequency-Diverse Antenna

et al. 2020

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Polarimetry is typically restricted to far-field characterization of a target using beam-like waves, which results in a 2 x 2 scattering matrix representation under two orthogonal in-plane polarization bases. However, a short-range (or radiative near-field) microwave polarimetric approach can recover a 3 x 3 polarimetric matrix representing a full vector polarimetric response of the imaged object. The computational imaging method retrieves this full polarimetric response by utilizing an ensemble of randomly polarized probing fields from a cavity-backed metasurface antenna as the enabling technology. In this paper, we describe the polarization states of the non-planar vector sensing fields with three-dimensional (3D) Jones vectors and examine the polarization diversity with the polarization ellipses in 3D space. Corresponding 3D polarimetric target parameters are derived from the 3D polarimetric matrix and the diagonalization process of this matrix. The generalized 3D target parameters disclose direct details of the imaged object which are otherwise inaccessible to the conventional 2 x 2 polarimetric scattering matrix description, especially the polarimetric features along the range direction. The target parameters reconstructed in experiments validate the effectiveness of our 3D polarimetric near-field imaging framework and the parameterization. The advanced processing and parameterization of 3D polarimetry indicate great potential applications in many short-range microwave imaging scenarios.

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Components of Purity to Describe the Polarimetric State of a 3-D Field Within the Reverberating Chamber

Cited by 2 publications

References 37 publications

Sources of Asymmetry and the Concept of Nonregularity of n-Dimensional Density Matrices

Sources of Asymmetry and the Concept of Nonregularity of n-Dimensional Density Matrices

Advanced Processing of 3D Computational Microwave Polarimetry Using a Near-Field Frequency-Diverse Antenna

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