厄米-拉盖尔-高斯光束的传输特性

详细信息

Propagation properties of Hermite-Laguerre-Gaussian beams

Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China

摘要: 利用Collins公式,推导出厄米-拉盖尔-高斯(HLG)光束通过近轴ABCD光学系统的解析传输公式,并用来研究通过自由空间和薄透镜的传输特性.结果表明,除模指数m,n之外,对HLG光束新引入的α参数,它影响光强分布和对称性;HLG光束在传输中保持形状不变;HLG光束的焦移与模指数m,n和α参数无关,这意味着m,n和α不同的HLG光束聚焦在同一位置.并给出了HLG光束的M2因子.
- 厄米-拉盖尔-高斯光束 /
- 传输特性 /
- ABCD系统 /
- α参数 /
- M2因子
Abstract: Based on Collins formula,an analytical propagation expression for Hermite-Laguerre-Gaussian(HLG) beams through a paraxial optical ABCD system is derived and used to study their propagation properties in free-space and through a thin lens.The results show that,apart from the mode indices m,n,it is necessary for HLG beams to introduce a new parameter α,which affects their intensity distribution and symmetry property.HLG beams preserve their shape upon propagation.There is a focal shift in HLG beams which is independent of the parameters m,n,and α,which means that HLG beams with different values of m,n,α are focused at the same place.The M2 factor of HLG beams is also given.
- Hermite-Laguerre-Gaussian(HLG) beam /
- propagation property /
- ABCD system /
- parameter α /
- M2factor

[1]	SIEGMAN A E.Lasers[M].California:University Science Books Mill Valley,1986.642～913.
[2]	KIMEL I,ELIAS L R.Relations between hermite and laguerre Gaussian modes[J].IEEE J Q E,1993,29(9):2562～2567.
[3]	ABRAMOCHKIN E G,VOLOSTNIKOV V G.Generalized Gaussianbeams[J].J Opt,2004,A6:157～161.
[4]	COLLINS S A.Lens-system diffraction integral written in terms matrix optics[J].J O S A,1970,60(9):1168～1177.
[5]	王喜庆,吕百达.拉盖尔-高斯光束的聚集特性[J].激光技术,1996,20(3):185～190.
[6]	吕百达,马虹.复宗量拉盖尔-高斯光束及其特性研究[J].激光技术,2001,25(4):312～316.
[7]	SIEGMAN A E.New development in laser resonators[J].Proc SPIE,1990,1224:2～20.