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Wigner distribution function of an Airy beam: comment

✍ Scribed by Besieris, Ioannis M.; Shaarawi, Amr M.

Book ID: 115392153
Publisher: Optical Society of America
Year: 2011
Tongue: English
Weight: 54 KB
Volume: 28
Category: Article
ISSN: 1084-7529
DOI: 10.1364/JOSAA.28.001828

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We present two new derivations of the Wigner distribution function for a simple harmonic oscillator Hamiltonian. Both methods are facilitated using a formula which expresses the Wigner function as a simple trace. The first method of derivation then utilizes a modification of a theorem due to Messiah