Author(s)

Ioannis M. Besieris^1*, Amr M. Shaarawi², Bradley Davis³

¹The Bradley Department of Electrical and Computer Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA.
²Department of Physics, The American University in Cairo, New Cairo, Egypt.
³Ted and Karyn Hume Center for National Security and Technology, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA.

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.

Nondiffracting Waves, Nonlinearly Self-Bending Beams, Airy Beam, Accelerating Olver and Olver-Gauss Beams

Besieris, I. , Shaarawi, A. and Davis, B. (2019) A Note on Self-Accelerating Olver and Olver-Gauss Beams. Optics and Photonics Journal, 9, 1-7. doi: 10.4236/opj.2019.91001.