Shaping optical beams with non-integer orbital-angular momentum: a generalized differential operator approach

被引:18
作者
Martinez-Castellanos, Israel [1 ]
Gutierrez-Vega, Julio C. [1 ]
机构
[1] Tecnol Monterrey, Photon & Math Opt Grp, Monterrey 64849, Mexico
关键词
LAGUERRE-GAUSSIAN BEAMS; VORTEX STRUCTURE; LASER-BEAMS; LIGHT;
D O I
10.1364/OL.40.001764
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We introduce an analytical procedure to construct an optical beam with an arbitrary value of orbital-angular momentum (OAM) by keeping the flexibility of shaping its transverse intensity distribution without changing its OAM. We apply the general theory of fractional differential operators in Fourier domain to derive general expressions for the OAM content in the beam and find the relevant parameters that determine its OAM value and those that can be freely modified without affecting it. (C) 2015 Optical Society of America
引用
收藏
页码:1764 / 1767
页数:4
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