Abstract

We study the Wigner distribution function (WDF) of an Airy beam. The analytical expression of the WDF of an Airy beam is obtained. Numerical and graphical results of the WDF of an Airy beam provide an intuitive picture to explain the intriguing features of an Airy beam, such as weak diffraction, curved propagation, and self-healing. Our results confirm that these novel properties of an Airy beam are attributed to the continuum of sideways contributions to the field.

© 2011 Optical Society of America

Wigner distribution function of an Airy beam: reply to comment

Rui-pin Chen, Hong-Ping Zheng, and Chao-Qing Dai
J. Opt. Soc. Am. A 28(9) 1829-1829 (2011)

Wigner distribution function of an Airy beam: comment

Ioannis M. Besieris and Amr M. Shaarawi
J. Opt. Soc. Am. A 28(9) 1828-1828 (2011)

Wave analysis of Airy beams

Y. Kaganovsky and E. Heyman
Opt. Express 18(8) 8440-8452 (2010)

On the independent significance of generalizations of the Wigner distribution function

Yushi Zheng and John J. Healy
J. Opt. Soc. Am. A 40(2) 326-336 (2023)

Fractional Wigner distribution function

D. Dragoman
J. Opt. Soc. Am. A 13(3) 474-478 (1996)