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Optimum detection using the Wigner distribution function
Annual Meeting Optical Society of America, 1985The use of the Wigner distribution function (WDF) as a signal processing technique has recently been recognized. One interesting application is signal detection and classification. The simplest (but nonoptimal) approach to signal detection is to use a filter in the time-frequency (ω-t) plane that is matched to the WDF of the signal; in fact, this has ...
Mohamad K. Asi, Bahaa E. A. Saleh
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Wigner distribution function applied to third-order aberrations
Applied Optics, 1996The Wigner-distribution-function description of light beams is extended to aberrated optical systems. The simulations performed show that the different types of aberrations can be identified separately by the use of experimental devices that display projections of the Wigner distribution function of a two-dimensional beam.
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The Wigner Distribution Function of Partially Coherent Light
Optica Acta: International Journal of Optics, 1981The concept of the Wigner distribution function is applied to stochastic signals, in particular to partially coherent light. Relations between the Wigner distribution function, the power spectrum and related subjects are formulated. Some inequalities for the Wigner distribution function are derived; one of these inequalities leads to the definition of ...
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The Wigner distribution function of self-Fourier functions
Journal of Modern Optics, 1996Particular forms of the Wigner distribution function and its moments of arbitrary order are derived for a generalized definition of the self-Fourier functions. The general form of the optical system matrix for which an input self-Fourier function transforms to an output self-Fourier function is found.
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Wigner distribution function for paraxial polychromatic optics
Optics Communications, 1996Polychromatic paraxial wavefields and their color images on a screen are provided here with a Wigner distribution function of position, momentum and wavelength. The definition is based on the Heisenberg-Weyl group. In the monochromatic limit we return to the common Wigner function and phase-space formalism.
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Imaging two-dimensional generalized Wigner crystals
Nature, 2021Hongyuan Li, Shaowei Li, Emma C Regan
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Bilayer Wigner crystals in a transition metal dichalcogenide heterostructure
Nature, 2021You Zhou, Jiho Sung, Elise Brutschea
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Signatures of Wigner crystal of electrons in a monolayer semiconductor
Nature, 2021Tomasz Smolenski +2 more
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Deterministic freely propagating photonic qubits with negative Wigner functions
Nature Photonics, 2023Valentin MAGRO +2 more
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