Vectorial Hermite--Laguerre--Gaussian beams beyond the paraxial approximation
Wang Bei-Zhan(王备战)a), Zhao Zhi-Guo(赵志国)a)b)†, Lü Bai-Da(吕百达)b), and Duan Kai-Liang(段开椋)b)
a Department of Physics, Luoyang Normal College, Luoyang 471022, China; b Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China
Abstract Starting from the vectorial Rayleigh--Sommerfeld integrals, the free-space propagation expressions for vectorial Hermite--Laguerre--Gaussian (HLG) beams beyond the paraxial approximation are derived. The far-field expressions and the scalar paraxial results are given as special cases of our general expressions. The intensity distributions of vectorial nonparaxial HLG beams are studied and illustrated with numerical examples.
Received: 18 January 2006
Revised: 05 June 2006
Accepted manuscript online:
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
