Generalized Helmholtz-Gauss beam and its transformation by paraxial optical systems

被引:34
|
作者
Guizar-Sicairos, Manuel
Gutiérrez-Vega, Julio C.
机构
[1] Univ Rochester, Inst Opt, Rochester, NY 14627 USA
[2] Tecnol Monterrey, Photon & Math Opt Grp, Monterrey 64849, Mexico
关键词
D O I
10.1364/OL.31.002912
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We introduce the generalized Helmholtz-Gauss (gHzG) beam and analyze its propagation through optical systems described by ABCD matrices with real and complex elements. The transverse mathematical structure of the gHzG beam is form invariant under paraxial transformations and reduces to those of ordinary HzG and modified HzG beams as special cases. We derive a closed-form expression for the fractional Fourier transform of gHzG beams. (c) 2006 Optical Society of America.
引用
收藏
页码:2912 / 2914
页数:3
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