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Metaplectic Wigner Distributions
Metaplectic Wigner distributions were recently investigated as natural generalizations of the classical Wigner distribution, and provide a wide class of time-frequency representations that exploits the structure of the symplectic group. This work serves as a survey on metaplectic Wigner distributions and their applications to the time-frequency ...
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Chiral Light–Matter Interaction for Controlling Nanoplasmonic Fields
Nanophotonics, Volume 15, Issue 11, 13 June 2026.This paper demonstrates plasmonic circular dichroism using gold nanoparticle dimers that exhibit high near‐field contrast under left‐ and right‐circularly polarized illumination. SNOM mapping reveals that the dichroic behavior of the dimers transforms hot spots into cold spots with full optical control. Additionally, the eigenmode excitations and their
Lázár Tóth +5 more
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Wigner distribution of self-amplified spontaneous emission free-electron laser pulses and extracting its autocorrelation. [PDF]
J Synchrotron Radiat, 2021 Serkez S +7 more
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, 2011 4 pages, 1 figure; prepared for the workshop "XIX International Workshop on Deep-Inelastic Scattering and Related Subjects (DIS 2011), April 11-15, 2011, Newport News, VA ...
Pasquini, B., Lorcé, C.
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Evolution and Conceptual Insights into the Geometric Phase of Light: A Comprehensive Review
Advanced Photonics Research, Volume 7, Issue 6, June 2026.This review presents a unified account of the geometric phase of light, linking its fundamental principles to diverse manifestations in polarization, spatial, and vector modes. By connecting theoretical frameworks with key experimental realizations, it reveals a coherent physical picture that deepens understanding and stimulates new directions in ...
A. Srinivasa Rao
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Covariance Estimation for Wide Data
WIREs Computational Statistics, Volume 18, Issue 2, June 2026.Covariance matrix estimation is fundamental to multivariate analysis, with applications spanning finance, genomics, climate science, and signal processing. This review synthesizes recent advances in high‐dimensional covariance estimation‐thresholding, linear and nonlinear shrinkage, graphical models, and random matrix theory‐under a unifying framework ...
Eran Raviv
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A characterization of metaplectic time–frequency representations
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We characterize all time–frequency representations that satisfy a general covariance property: any weak*‐continuous bilinear mapping that intertwines time–frequency shifts on the configuration space with time–frequency shifts on phase space is a multiple of a metaplectic time–frequency representation. This characterization offers an intrinsic,
Karlheinz Gröchenig, Irina Shafkulovska
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Complexity growth and the Krylov-Wigner function
Journal of High Energy PhysicsFor any state in a D-dimensional Hilbert space with a choice of basis, one can define a discrete version of the Wigner function — a quasi-probability distribution which represents the state on a discrete phase space.
Ritam Basu +3 more
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New Journal of Physics, 2014 We present a new experimental approach to determine the Wigner distribution function of non-separable laser beams. A rotatable toroidal mirror is employed to focus an IR laser beam at a wavelength of $1064\;{\rm nm}$ .
Tobias Mey, Bernd Schäfer, Klaus Mann
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Realisability of Wigner distributions
Electronics Letters, 1989 A time-frequency distribution C(t, omega ) is said to be WD-realisable if it is shown to be the Wigner distribution (WD) of a signal f(t). Conditions for this realisability are obtained using the FON basis vector representation of signals in L/sup 2/. >
V.A. Topkar +2 more
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