Hollow vortex Gaussian beams

• Published in: Science China. Physics, mechanics & astronomy mechanics & astronomy, 2013-05, Vol.56 (5), p.896-903
• Main Authors: Zhou, GuoQuan, Cai, YangJian, Dai, ChaoQing
• Format: Article
• Language: English
• Subjects: Angular momentum; Astronomy; Beams (radiation); Charge; Classical and Continuum Physics; Density; Fluid flow; Gaussian beams (optics); Kurtosis; Mathematical models; Micromanipulation; Observations and Techniques; Orbitals; Parameters; Physics; Physics and Astronomy; Propagation; Topology; Transfer matrices; Vortices; 光束传播; 光束传输因子; 动量密度; 旋涡; 空心; 解析表达式; 近轴ABCD光学系统; 高斯光束
• ISSN: 1674-7348; 1869-1927
• DOI: 10.1007/s11433-013-5069-6

A kind of hollow vortex Gaussian beam is introduced. Based on the Collins integral, an analytical propagation formula of a hollow vortex Gaussian beam through a paraxial ABCD optical system is derived. Due to the special distribution of the optical field, which is caused by the initial vortex phase, the dark region of a hollow vortex Gaussian beam will not disappear upon propagation. The analytical expressions for the beam propagation factor, the kurtosis parameter, and the orbital angular mo- mentum density of a hollow vortex Gaussian beam passing through a paraxial ABCD optical system are also derived, respec- tively. The beam propagation factor is determined by the beam order and the topological charge. The kurtosis parameter and the orbital angular momentum density depend on beam order n, topological charge m, parameter y, and transfer matrix ele- ments A and D. As a numerical example, the propagation properties of a hollow vortex Gaussian beam in free space are demonstrated. The hollow vortex Gaussian beam has eminent propagation stability and has crucial application prospects in op- tical micromanipulation.