A Note on Self-Accelerating Olver and Olver-Gauss Beams

• 作者: Amr M. Shaarawi Bradley Davis Ioannis M. Besieris
• 来源期刊: 光学与光子学期刊(英文)
• 学科: 数学
• 关键词: Nondiffracting WAVES Nonlinearly Self-Bending BEAMS Airy Beam Accelerating Olver and Olver-Gauss BEAMS
• 年，卷（期）: 2019,（1）
• 页码范围: 1-7
• 页数: 7页
• 分类号: O1

摘要

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.