WebWe derive explicit analytical relations to describe paraxial light beams that represent a particular case of the hypergeometric (HyG) laser beams [J. Opt. Soc. Am. A 25, 262–270 (2008)]. Among these are modified quadratic Bessel–Gaussian beams, hollow Gaussian optical vortices, modified elegant Laguerre– Gaussian beams, and gamma-HyG beams. WebJul 1, 2016 · Propagation of Hypergeometric-Gaussian laser beam in a nonlinear plasma medium is investigated by considering the Source Dependent Expansion method. A subfamily of Hypergeometric-Gaussian beams with a non-negative, even and integer radial index, can be expressed as the linear superposition of finite number of …
Fractional Fourier transform for confluent hypergeometric beams
WebDec 18, 2024 · Keywords: hollow and doughnut laser beam, vortex laser beam, hypergeometric laser beam, nonparaxial diffraction, displacement of laser beam waist, lensless focusing Introduction Hollow and doughnut laser beams have been the focus of research in recent years owing to their wide use in the optical trapping of neutral atoms [1]. WebAug 6, 2012 · Based on the definition of the fractional Fourier transform (FRFT) in the cylindrical coordinate system, the propagation properties of a new family of paraxial laser beams named confluent hypergeometric (HyG) beams, of which intensity profile is similar to that for the Bessel modes, passing through FRFT optical systems have been studied … the motivations behind the louisiana purchase
(PDF) Hypergeometric-Gaussian Modes - ResearchGate
WebA new mathematical model of dark-hollow beams, described as hollow sinh-Gaussian (HsG) beams, has been introduced. The intensity distributions of HsG beams are characterized by a single bright ring along the propagation whose size is determined by the order of beams; the shape of the ring can be controlled by beam width and this leads to the elliptical HsG … WebA laser beam of precisely focused light vaporizes the surface skin and reveals the undamaged layer beneath. Procedure time varies depending on the size and condition of … WebFeb 1, 2008 · Recently, a novel family of paraxial laser beams, named hypergeometric-Gaussian type-II beams (HyGG-II), was introduced by Karimi et al. [7], which are … the motivations of the first crusade