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Wigner distribution function and digital holography

SPIE Proceedings, 2006
We 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, 2017
We 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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Second-order moments of the Wigner distribution function in first-order optical systems

Optical Society of America Annual Meeting, 1991
Starting from the well-known description of a first-order optical system by means of its symplectic ABCD ray transformation matrix, a propagation law for the second-order moments of the Wigner distribution function is derived.
Mj Martin Bastiaans
semanticscholar   +1 more source

Wigner distribution function for Euclidean systems

Journal of Physics A: Mathematical and General, 1998
Summary: 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, 1993
The 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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Space-variant filtering through the Wigner distribution function

Applied Optics, 1989
Space-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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Tripartite entangled Wigner operator, the Wigner function and its marginal distributions

Journal of Optics B: Quantum and Semiclassical Optics, 2003
For 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, 1989
In 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, 1995
The 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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