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Family of hypergeometric laser beams

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 https://bignando.com

(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

Propagation of confluent hypergeometric beam through uniaxial …

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Family of hypergeometric laser beams

Fractional Fourier transform for confluent hypergeometric beams

WebOct 18, 2013 · Abstract. An expression to describe the complex amplitude of a family of paraxial hypergeometric laser beams propagating in a parabolic-index fiber is proposed. A particular case of a Gaussian optical vortex propagating in a parabolic-index fiber is studied. Under definite parameters, the Gaussian optical vortices become the modes of the medium. WebWe derive a new solution to the paraxial wave equation that defines a two-parameter family of three-dimensional structurally stable vortex annular auto-focusing hyper-geometric (AH) beams, with their complex amplitude expressed via a degenerate hyper-geometric function. The AH beams are found to carry an orbital angular momentum and be auto …

Family of hypergeometric laser beams

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WebMar 31, 2024 · Based on the process of the Fresnel diffraction, the possibility of generating a new type of laser beams family by illuminating a curved fork-shaped hologram, with an input hypergeometric-Gaussian beams family of orders n and m is studied in this paper. The theoretical and the numerical results showed that, at the output plane, a high order … WebOct 18, 2013 · Paraxial hypergeometric (HyG) modes were proposed for the first time in 2007 [].Hypergeometric Gaussian laser beams generated on the basis of HyG modes followed soon after [].A large family of HyG beams which includes both particular cases of HyG modes [] and HyG Gaussian beams [] was discussed in [].HyG laser beams have …

WebJun 1, 2024 · Section snippets Field distribution of a hypergeometric-Gaussian type-II beam. In the cylindrical coordinate system, the optical field distribution of a HyGG-II beam at the incident plane (z = 0) is defined as[26]: E r 0, θ 0 = e x p-r 0 2 w 0 2 exp-i m θ 0 r 0 w 0 m 1 F 1-p 2; m + 1; r 0 2 w 0 2, where r 0 and θ 0 denote the radial and azimuthal angle … WebApr 1, 2024 · Based on the process of the Fresnel diffraction, the possibility of generating a new type of laser beams family by illuminating a curved fork-shaped hologram, with an input Hypergeometric-Gaussian ...

WebA three-parameter family of paraxial coherent light fields that originate from a complex amplitude composed of the Gaussian beam, a logarithmic axicon, a spiral phase plate, and an amplitude power function with a possible singularity at the origin of coordinates is …

WebParaxial hypergeometric (HyG) modes were proposed for the first time in 2007 [1]. Hypergeometric Gaussian laser beams generated on the basis of HyG modes followed … how to determine a fact and opinionWebAug 6, 2012 · Abstract. 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 ... how to determine a fair rent priceWebOct 1, 2012 · This work presents a novel family of paraxial optical beams having a confluent hypergeometric transverse profile, which is proposed to exploit for generating a "light needle" having record properties in terms of size and aspect ratio, possibly useful for near-field optics applications. Expand the motivator t rex lyricsWebDec 23, 2024 · Abstract. Here, we study asymmetric Kummer beams, whose complex amplitude is proportional to the Kummer function (a degenerate hypergeometric … how to determine a fire doorWebWe studied a novel family of paraxial laser beams forming an overcomplete yet nonorthogonal set of modes. These modes have a singular phase profile and are eigenfunctions of the photon orbital angular momentum. The intensity profile is characterized by a single brilliant ring with the singularity at its center, where the field amplitude … how to determine a font in a pictureWebJul 1, 2016 · Propagation of Hypergeometric-Gaussian laser beam in a nonlinear plasma medium is investigated by considering the Source Dependent Expansion method. A … the motivator cultureWebAn erbium laser, also called a Er:YAG, produces wavelength energy that is absorbed by the water in the skin cells. Erbium lasers are most commonly used to treat mild to moderate … how to determine a door swing hand