Abstract

We correct the omission in the calculation of the Wigner distribution function (WDF) of an Airy beam in [J. Opt. Soc. Am. A 28, 1307 (2011)]. The result of the WDF of a propagating Airy beam is identical to what was derived in terms of the WDF propagation law by Besieris and Shaarawi.

© 2011 Optical Society of America

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References

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  1. I. M. Besieris and A. M. Shaarawi, “Wigner distribution function of an Airy beam: comment,” J. Opt. Soc. Am. A 28, 1828–1828 (2011).
    [CrossRef]
  2. R.-P. Chen, H. P. Zheng, and C. Q. Dai, “Wigner distribution function of an Airy beam,” J. Opt. Soc. Am. A 28, 1307–1311(2011).
    [CrossRef]

2011 (2)

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Equations (2)

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W ( x , p ; z ) = 2 2 / 3 exp ( 2 a x x 0 2 p a x 0 z z 0 ) A i [ 2 2 / 3 ( x x 0 p x 0 z z 0 + p 2 x 0 2 ) ] ,
W ( x , y , p x , p y ; z ) = 2 4 / 3 exp ( 2 a x x 0 + 2 a y y 0 2 p x a x 0 z z 0 2 p y a y 0 z z 0 ) × A i [ 2 2 / 3 ( x x 0 p x 0 z z 0 + p x 2 x 0 2 ) ] A i [ 2 2 / 3 ( y y 0 p y 0 z z 0 + p y 2 y 0 2 ) ] .

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