TITLE:
A Note on Self-Accelerating Olver and Olver-Gauss Beams
AUTHORS:
Ioannis M. Besieris, Amr M. Shaarawi, Bradley Davis
KEYWORDS:
Nondiffracting Waves, Nonlinearly Self-Bending Beams, Airy Beam, Accelerating Olver and Olver-Gauss Beams
JOURNAL NAME:
Optics and Photonics Journal,
Vol.9 No.1,
January
17,
2019
ABSTRACT: The recent introduction by Belafhal et al. [Opt. and Photon. J. 5, 234-246 (2015)] of mth-order Olver beams as a novel class of self-accelerating nondiffracting solutions to the paraxial equation is a direct contradiction to the seminal work of Berry and Balazs who determined that the infinite-energy Airy wave packet is the only accelerating nondiffracting solution to the (1 + 1)D Schrödinger equation. It is shown in this note that the work of Belafhal et al. is valid only for m=0, which coincides with the Airy solution.