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Wigner distribution function and digital holography
SPIE Proceedings, 2006We investigate the principles of digital holography based on the Wigner distribution function (WDF). We apply the WDF to the analysis of generic optical setups which are used to record and reconstruct image Fresnel holograms. We use the graphical representation of the Wigner chart to derive various important properties, including the required space ...
Bryan M. Hennelly +2 more
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Wigner Distribution Function of Airy Beam
Frontiers in Optics 2017, 2017We studied Wigner distribution function for finite-energy Airy beam in theory and experiment, and proposed that with a large truncating factor, Airy beam can be simplified for optical imaging based on phase-space method.
Fengfei Wang +3 more
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Wigner distribution function for Euclidean systems
Journal of Physics A: Mathematical and General, 1998Summary: Euclidean systems include poly- and monochromatic wide-angle optics, acoustics, and also infinite discrete data sets. We use a recently defined Wigner operator and (quasiprobability) distribution function to set up and study the phase-space evolution of these models, subject to differential and difference equations, respectively. Infinite data
Nieto, Luis Miguel +3 more
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Wigner distribution functions on a linear amplifier
Physical Review A, 1993The Wigner distribution functions for the output of a linear amplifier are investigated. The input light field of the ampliflier is assumed to be a squeezed and displaced vacuum state. The in-phase and quadrature-phase field amplitudes, the contours of Wigner distribution functions, and the three-dimensional picture of the Wigner distribution functions
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Transport Equations for the Wigner Distribution Function
Optica Acta: International Journal of Optics, 1979Equations have been derived which describe the transport of the Wigner distribution function in homogeneous and inhomogeneous media. In a weakly inhomogeneous medium, the transport equation can be formulated in geometrical optical terms as follows: along a geometrical optical light ray, the Wigner distribution function has a constant value.
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Space-variant filtering through the Wigner distribution function
Applied Optics, 1989Space-invariant and space-variant filtering of discrete images with unidimensional variation is performed in this paper through the Wigner distribution function (WDF). Low-pass, bandpass, and high-pass filtering is used in the Fourier domain and in the Wigner distribution, to compare their different behavior in both cases.
C, Gonzalo +3 more
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The Wigner distribution function—50th birthday
Foundations of Physics, 1983We discuss the profound influence which the Wigner distribution function has had in many areas of physics during its fifty years of existence.
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Tripartite entangled Wigner operator, the Wigner function and its marginal distributions
Journal of Optics B: Quantum and Semiclassical Optics, 2003For a tripartite entangled system, based on the newly constructed tripartite Einstein–Podolsky–Rosen entangled state, we find the entangled state representation of the Wigner operator. The corresponding Wigner function then leads us to obtain the physical marginal distributions.
Hong-yi Fan, Nian-quan Jiang
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Bivariate averaging and the Wigner distribution function
Pramana, 1989In order to gain insight into the nature of the Wigner and related distribution functions, bivariate averaging functions of real unbounded variables with absolutely continuous marginals that are ordinary probabilities are considered. Accordingly variables are chosen to be phase space variables that are respectively eigenvalues of position and momentum ...
A K Rajagopal, S Teitler
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Wigner-distribution-function representation of the coupling coefficient
Applied Optics, 1995The Wigner-distribution-function representation of the source's and the receiver's light fields is used to express the coupling efficiency. The symmetries of the Wigner-distribution graphical representations are connected with the amount of coupled light.
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