title: Hollow sinh-Gaussian beams and their paraxial properties.
abstract: A 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 beams. Propagation characteristics of HsG beams through an ABCD optical system have been researched, they can be regarded as superposition of a series of Hypergeometric-Gaussian (HyGG) beams. As a numerical example, the propagation characteristics of HsG beams in free space have been demonstrated graphically.
authors.affiliation: Department of Physics, Harbin Institute of Technology, Harbin 150001, China.
authors.forename: Qiongge
authors.initials: Q
authors.lastname: Sun
authors.forename: Keya
authors.initials: K
authors.lastname: Zhou
authors.forename: Guangyu
authors.initials: G
authors.lastname: Fang
authors.forename: Guoqiang
authors.initials: G
authors.lastname: Zhang
authors.forename: Zhengjun
authors.initials: Z
authors.lastname: Liu
authors.forename: Shutian
authors.initials: S
authors.lastname: Liu
mesh_terms: D003198:Computer Simulation; D008027:Light; D008962:Models, Theoretical; D012542:Scattering, Radiation