Polarimetric nonregularity of evanescent waves

Norrman, Andreas; Gil, José J.; Friberg, Ari T.; Setälä, Tero

doi:10.1364/ol.44.000215

Cited by 18 publications

(15 citation statements)

References 22 publications

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“…The definition of P N generalizes the results already obtained for the case n = 3 in previous works dealing with polarization density matrices [7,41], which have been successfully applied to the characterization of polarization of evanescent waves [42] and tightly focused fields [43].…”

Section: The Concept Of Nonregularity Of a Density Matrixsupporting

confidence: 54%

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: The Concept Of Nonregularity Of a Density Matrixsupporting

confidence: 54%

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

Gil

2020

Symmetry

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“…Insertion of these values into Eq. (7) gives σ = 0.7 ± 0.1. In another measurement, we changed the power levels and obtained J x = 4051 ± 92, J y = 2147 ± 48, and J = 7301 ± 106, from which it follows that σ = 0.8 ± 0.1.…”

Section: B Polarization-ring Thicknessmentioning

confidence: 96%

“…(4)], obtain a = 0.57 ± 0.01 from Eq. (7). We repeat the measurement by changing the power levels of the lasers and obtain σ values close to 0.…”

Section: B Polarization-ring Thicknessmentioning

confidence: 99%

“…The traditional concepts cover the Jones vector, Stokes parameters, Poincaré sphere, Mueller matrices, and degree of polarization, for instance [3,4]. Concerning the highly nonparaxial fields, possibly with an evanescent-wave contribution, several novel polarimetric descriptors such as the polarimetric dimension [5], degree of intensity anisotropy [6], and nonregularity [7] have recently been introduced. Interference is another fundamental attribute of light with important applications, e.g., in optical communication and information processing [3], laser cavity design [8], correlation imaging [9], spectroscopy [10], and metrology [11].…”

Section: Introductionmentioning

confidence: 99%

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Measurement of intensity and polarization beatings in the interference of independent optical fields

Shevchenko

Setälä

2020

Phys. Rev. Research

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We experimentally study the intensity and polarization beatings of interfering independent optical fields. Using the tools of intensity interferometry, we measure the beating harmonicity time and the degree of randomness of the polarization beating for several combinations of light fields with Poissonian and Gaussian statistics. The degree of randomness is represented by the effective thickness of a ring on the Poincaré sphere within which the tip of the Poincaré vector moves. The method is based on two-photon detection, allowing femtosecond-scale variations of light intensity and polarization to be experimentally characterized. The research contributes to both fundamental and applied aspects of electromagnetic optics.

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“…WhileR p andR u−3D represent, respectively, a pure state and a fully random state (i.e., a 3D unpolarized state), the interpretation ofR m requires a more detailed analysis and leads to the notion of nonregularity of polarization states [26,29]. A partially polarized evanescent wave is an important physical manifestation of such nonregular polarization states [30].…”

Section: Background Conceptsmentioning

confidence: 99%

Sets of orthogonal three-dimensional polarization states and their physical interpretation

et al. 2019

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Polarimetric nonregularity of evanescent waves

Cited by 18 publications

References 22 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

Measurement of intensity and polarization beatings in the interference of independent optical fields

Sets of orthogonal three-dimensional polarization states and their physical interpretation

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