Orbital angular momentum of Laguerre-Gaussian beams beyond the paraxial approximation

被引:40
作者
Cerjan, Alexander [1 ]
Cerjan, Charles [2 ]
机构
[1] Yale Univ, Dept Phys, New Haven, CT 06520 USA
[2] Lawrence Livermore Natl Lab, Livermore, CA 94551 USA
关键词
PROPAGATION; VECTOR; LIGHT;
D O I
10.1364/JOSAA.28.002253
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We derive a full field solution for Laguerre-Gaussian beams consistent with the Helmholtz equation using the angular spectrum method. Field components are presented as an order expansion in the ratio of the wavelength to the beam waist, f = lambda/(2 pi omega(0)), which is typically small. The result is then generalized to a beam of arbitrary polarization. This result is then used to reproduce the signature angular momentum properties of Laguerre-Gaussian beams in the paraxial limit. The subsequent higher-order term is similarly obtained, which does not display a clear separation of orbital and spin angular momentum components. c 2011 Optical Society of America
引用
收藏
页码:2253 / 2260
页数:8
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