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Polarimetric characterization of light and media: Physical quantities involved in polarimetric phenomena

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Gil, J. J.·2007·The European Physical Journal Applied Physics
DOI 10.1051/epjap:2007153
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Abstract

An objective analysis is carried out of the matricial models representing the polarimetric properties of light and material media leading to the identification and definition of their corresponding physical quantities, using the concept of the coherency matrix. For light, cases of homogeneous and inhomogeneous wavefront are analyzed, and a model for 3D polarimetric purity is constructed. For linear passive material media, a general model is developed on the basis that any physically realizable linear transformation of Stokes vectors is equivalent to an ensemble average of passive, deterministic nondepolarizing transformations. Through this framework, the relevant physical quantities, including indices of polarimetric purity, are identified and decoupled. Some decompositions of the whole system into a set of well-defined components are considered, as well as techniques for isolating the unknown components by means of new procedures for subtracting coherency matrices. These results and methods constitute a powerful tool for analyzing and exploiting experimental and industrial polarimetry. Some particular application examples are indicated.

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  • A general mathematical description of the states of polarization requires a 3D treatment because the electric field of an electromagnetic wave evolves in real three-dimensional space.

    “Obviously, this situation is not general because the electric field of the electromagnetic wave evolves in the real three-dimensional (3D) space and therefore a general mathematical description of the states of polarization requires a 3D treatment [1,2].”

    From Polarimetric purity and the concept of degree of polarization (2018) · cites this paper as [2]

  • The mathematical definition of P3D is the 3D analog of the degree of polarimetric purity P4D for 4x4 Mueller matrices (depolarization index).

    “It is worth noting that the mathematical definition of P 3D is, in fact, the 3D analog of the degree of polarimetric purity, P 4D, for the 4 × 4 Mueller matrices (depolarization index [20]) representing the transformation of polarization states by the action of a material medium [2].”

    From Polarimetric purity and the concept of degree of polarization (2018) · cites this paper as [2]

  • The inequality P3D ≥ 1/2 holds for 2D states, as a natural consequence of the fact that they are characterized by Pd=1.

    “The fact that the inequality P 3D ⩾ 1 / 2 holds for 2D states [2,8,32] is nothing else than a natural consequence of the fact that they are characterized by Pd = 1.”

    From Polarimetric purity and the concept of degree of polarization (2018) · cites this paper as [2]

  • An equivalent expression for P3D was introduced for the first time by Samson and was also obtained later by Barakat and by Gil as the quadratic average of the relative differences between the eigenvalues of R.

    “was introduced for the first time by Samson [13], and was also obtained later by Barakat [14] and by Gil [2] as the quadratic average of the relative differences between the eigenvalues of R”

    From Polarimetric purity and the concept of degree of polarization (2018) · cites this paper as [2]

  • A privileged view of the structure of polarimetric purity of R is given by its characteristic (or trivial) decomposition.

    “among the different possible representations of R as compositions of mutually incoherent states, a privileged view of the structure of polarimetric purity of R is given by its characteristic (or trivial ) decomposition [2,10,18],”

    From Polarimetric purity and the concept of degree of polarization (2018) · cites this paper as [2]

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Authors
Gil, J. J.
Affiliations
Universidad de Zaragoza (ES)
Corresponding author
Gil, J. J.
ORCID
Gil, J. J.
Venue
The European Physical Journal Applied Physics
Publisher
EDP Sciences
Published
2007-10
Volume
40
Issue
1
Pages
1-47
ISSN
  • 1286-0042 (ISSN-L)
  • 1286-0050
DOI
10.1051/epjap:2007153
OpenAlex
W2124319519
Cited by
272
References
268
Citations by year
2026: 13 · 2025: 12 · 2024: 9 · 2023: 9 · 2022: 15 · 2021: 13 · 2020: 13 · 2019: 21 · 2018: 22 · 2017: 9 · 2016: 31 · 2015: 21 · 2014: 17 · 2013: 10 · 2012: 15
FWCI
7.41
Type
journal article
Language
en
Open access
Locations
  • The European Physical Journal Applied Physics (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Springer Link (Chiba Institute of Technology) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Engineering › Biomedical Engineering › Optical Polarization and Ellipsometry
  • Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
  • Physical Sciences › Engineering › Aerospace Engineering › Synthetic Aperture Radar (SAR) Applications and Techniques
Keywords
polarimetry, coherency matrix, Stokes vector, passive media, matrix factorization

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