Transformation of higher-order cosh-Gaussian beams into an Airy-related beams by an optical airy transform system
- PDF / 2,247,839 Bytes
- 11 Pages / 439.37 x 666.142 pts Page_size
- 17 Downloads / 155 Views
Transformation of higher‑order cosh‑Gaussian beams into an Airy‑related beams by an optical airy transform system M. Yaalou1 · Z. Hricha1 · A. Belafhal1 Received: 29 June 2020 / Accepted: 8 October 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract In this paper, we investigate the transformation of a higher-order cosh-Gaussian beam into an Airy-related beam by an Airy transform optical system. Based on the Huygens-Fresnel integral diffraction, the analytical expression of the generated curved beam is derived. The effects of the decentered parameter b, the beam orders, and the phase constants (α and β) on the generated beam are discussed numerically. It is shown that the number and the intensity distributions of side lobes of the generated beam pattern depend on the parameter b and the beam orders. Peak band structures are observed for higher-orders and large b. Furthermore, the localization of the beam pattern in the plane depends on the relative signs of α and β. The obtained results may be useful in practical applications dealing with Airy beams. Keywords Airy transform optical system (ATOS) · Airy beams · Airy-related beams · Higher-order cosh Gaussian beams
1 Introduction Airy transform which was introduced in mathematics by Widder (Widder (1979)) and its optical concept by Jiang et al. (Jiang et al. 2012a, 2012b), has been used as a valuable tool in many areas in physics as well as the other optical transforms, such as Fractional Fourier transform, Fourier transform, Hankel transform and Hilbert transform, due to their usefulness in beam shaping, image processing, signal processing and beam conversion (Goodman 2005; Ozaktas et al. 2001; Davis et al. 1998, 2000). Airy transform has been used in direct generating curved non-diffracting laser beams, which are known as Airy beams (Jiang et al. 2012a; Berry and Balazs 1979; Siviloglou et al. 2007a; Siviloglou and Christodoulide 2007). The ideal Airy beam is characterized by an asymmetrical profile with one main spot * Z. Hricha [email protected] * A. Belafhal [email protected] 1
Laboratory LPNAMME, Laser Physics Group, Department of Physics, Faculty of Sciences, Chouaïb Doukkali University, P. B 20, 24000 El Jadida, Morocco
13
Vol.:(0123456789)
461
Page 2 of 11
M. Yaalou et al.
at the center and an infinite series of secondary lobes. This beam has attracted much attention for its unique properties, e.g., the transverse self-acceleration, parabolic trajectories and self-healing, which are suitable for applications in particle clearing (Baumgartl et al. 2008), plasma physics (Polynkin et al. 2009), optical micromanipulation (Ellenbogen et al. 2009), optical switching (Chremmos and Efremidis 2012), optical trapping (Jia et al. 2010) and optical routing (Rose et al. 2013). The so-called Finite Airy beams are the paraxial realization of Airy light beams. Over the last few years, there has been many methods for the generation of Finite Airy beams, as examples, the cubic phase, 3/2 phase-only pattern and three-wave mix
Data Loading...
