Paper
1 May 2014 Comparison of software for numerical approximation of Wigner distribution function
Author Affiliations +
Abstract
The Wigner distribution function (WDF) has been used as a tool in wave optics for more than forty years. It is desirable to numerically simulate the WDF for a variety of situations; we argue that the reasons this is not more commonly done are the difficulty in defining the discrete transform appropriately and the size of the computation. In this paper, we examine a number of software packages freely available online, each purporting to calculate the WDF. We present results on their speed and accuracy. Optical engineers desiring to make use of the WDF in optical analysis and design will find our results useful in choosing which package to use in their simulations.
© (2014) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
John J. Healy and Bryan M. Hennelly "Comparison of software for numerical approximation of Wigner distribution function", Proc. SPIE 9131, Optical Modelling and Design III, 91311I (1 May 2014); https://doi.org/10.1117/12.2051786
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KEYWORDS
Wigner distribution functions

Fourier transforms

Time-frequency analysis

MATLAB

Optical design

Signal processing

Computer simulations

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