Propagation dynamics of radially polarized symmetric Airy beams in the fractional Schrödinger equation

Shangling He, Boris A. Malomed, Dumitru Mihalache, Xi Peng, Yingji He, Dongmei Deng*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We analyze the propagation dynamics of radially polarized symmetric Airy beams (R-SABs) in a (2+1)-dimensional optical system with fractional diffraction, modeled by the fractional Schrödinger equation (FSE) characterized by the Lévy index, α. The autofocusing effect featured by such beams becomes stronger, while the focal length becomes shorter, with the increase of α. The effect of the intrinsic vorticity on the autofocusing dynamics of the beams is considered too. Then, the ability of R-SABs to capture nano-particles by means of radiation forces is explored, and multiple capture positions emerging in the course of the propagation are identified. Finally, we find that the propagation of the vortical R-SABs with an off-axis shift leads to rupture of the ring-shaped pattern of the power-density distribution.

Original languageEnglish
Article number127403
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume404
DOIs
StatePublished - 19 Jul 2021

Keywords

  • Airy waves
  • Autofocusing
  • Fractional diffraction
  • Vorticity

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