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

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

Laboratory of Nuclear, Atomic and Molecular Physics Department of Physics, Faculty of Sciences, Chouaïb Doukkali University, El Jadida, Morocco.

DOI: 10.4236/opj.2015.57023                

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.

Keywords

Olver Beams, Airy Beams, Fourier Transform, Masks

Conflicts of Interest

The authors declare no conflicts of interest.

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