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http://dx.doi.org/10.1016/j.optlaseng.2013.07.003

has been cited by the following article:

• TITLE: Theoretical Introduction and Generation Method of a Novel Nondiffracting Waves: Olver Beams

  AUTHORS: Abdelmajid Belafhal, Lahcen Ez-Zariy, Salima Hennani, Hamid Nebdi

  KEYWORDS: Olver Beams, Airy Beams, Fourier Transform, Masks

  JOURNAL NAME: Optics and Photonics Journal, Vol.5 No.7, July 31, 2015

  ABSTRACT: In this paper, we introduce a new class of scalar nondiffracting Helmholtz-equation solution. We demonstrate that this novel wave-equation solution has some specific orders; among these ordinary Airy beams which are regarded as the zeroth order. Moreover, a general expression of these novel beams, which are named Olver Beams and referred to OBs, is developed. The zeroth and the first high orders of the incident OBs are presented theoretically and numerically in this paper. Yet, based on a computer generated holograms method, the generation’s masks of the Finite OBs in first orders are given in this work. Also, the incident transverse intensity distribution in 1-D and 2-D of the first orders of OBs is performed.