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Vectorial Hermite--Laguerre--Gaussian beams beyond the paraxial approximation
Authors:Wang Bei-Zhan, Zhao Zhi-Guo, L&#   Bai-Da,  Duan Kai-Liang
Affiliation: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, thefree-space propagation expressions for vectorialHermite--Laguerre--Gaussian (HLG) beams beyond the paraxialapproximation are derived. The far-field expressions and thescalar paraxial results are given as special cases of ourgeneral expressions. The intensity distributions of vectorialnonparaxial HLG beams are studied and illustrated with numericalexamples.
Keywords:vectorial nonparaxial Hermite--Laguerre--Gaussian beam   vectorial Rayleigh--Sommerfeld integrals   propagation
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