On the matrix formulation of the theory of partial polarization in terms of observables

Parrent, George B.; Roman, P.

doi:10.1007/bf02902573

Cited by 76 publications

(15 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The coherency matrix (or polarization matrix) Φ [43][44][45]4,6,13] of a light beam contains all the measurable information on its state of polarization (including intensity). This Hermitian 2x2 matrix is defined as (8) where ε is the instantaneous Jones vector whose two components are the analytic signals of the electric field of the wave; † ε is the conjugate transposed vector of ε ; * i  represents the complex 1 lím T T X t X t d t T     .…”

Section: The Coherency Matrixmentioning

confidence: 99%

“…From Eq. (22), the following characteristic decomposition (or trivial decomposition) of s as a convex sum of a pure state and a unpolarized state can be immediately obtained [6,44]   (24) Another alternative decomposition with different physical meaning is [44]…”

Section: Decomposition Of Mixed Statesmentioning

confidence: 99%

“…The quantities I and P are invariant in the sense that they remain unchanged under unitary transformations of the coherency matrix [50] and, thus, they are invariant with respect to changes of the reference system XY. In fact, I and P are directly related with the eigenvalues of Φ [44]     1 2…”

Section: Arxiv:200204105v2 [Physicsoptics] (2020)mentioning

confidence: 99%

See 2 more Smart Citations

Polarimetric characterization of light and media

Gil

2007

Eur. Phys. J. Appl. Phys.

248

303

View full text Add to dashboard Cite

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.

show abstract

Section: The Coherency Matrixmentioning

confidence: 99%

Section: Decomposition Of Mixed Statesmentioning

confidence: 99%

See 1 more Smart Citation

Polarimetric characterization of light and media

Gil

2007

Eur. Phys. J. Appl. Phys.

248

303

View full text Add to dashboard Cite

show abstract

“…Since only bilinear quantities in the field amplitudes can be measured, it is advantageous to consider the so-called polarization (or coherence) matrix [62][63][64][65][66]…”

Section: The Polarization Matrix and The Stokes Parametersmentioning

confidence: 99%

Quantum concepts in optical polarization

et al. 2021

View full text Add to dashboard Cite

We comprehensively review the quantum theory of the polarization properties of light. In classical optics, these traits are characterized by the Stokes parameters, which can be geometrically interpreted using the Poincaré sphere. Remarkably, these Stokes parameters can also be applied to the quantum world, but then important differences emerge: now, because fluctuations in the number of photons are unavoidable, one is forced to work in the three-dimensional Poincaré space that can be regarded as a set of nested spheres. Additionally, higher-order moments of the Stokes variables might play a substantial role for quantum states, which is not the case for most classical Gaussian states. This brings about important differences between these two worlds that we review in detail. In particular, the classical degree of polarization produces unsatisfactory results in the quantum domain. We compare alternative quantum degrees and put forth that they order various states differently. Finally, intrinsically nonclassical states are explored and their potential applications in quantum technologies are discussed.

show abstract

“…The polarimetric purity of a plane wave is characterized through a unique parameter, namely the corresponding degree of polarization P, which can be written in terms of the eigenvalues of the corresponding 2 × 2 coherency matrix Φ [16,17] …”

Section: D Polarimetric Puritymentioning

confidence: 99%