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Vectorial Hermite--Laguerre--Gaussian beams beyond the paraxial approximation
Authors:Wang Bei-Zhan  Zhao Zhi-Guo  L&#; Bai-Da  and Duan Kai-Liang
Institution:Department of Physics, Luoyang Normal College, Luoyang 471022, China; 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.
Keywords:vectorial nonparaxial Hermite--Laguerre--Gaussian beam  vectorial Rayleigh--Sommerfeld integrals  propagation
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