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Volume 29 Issue 6
Sep.  2013
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Citation:
shu

Propagation properties of Hermite-Laguerre-Gaussian beams

  • 1.

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

  • Received Date: 2004-09-06
    Accepted Date: 2004-11-05
  • 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.
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    KIMEL I,ELIAS L R.Relations between hermite and laguerre Gaussian modes[J].IEEE J Q E,1993,29(9):2562～2567.
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    ABRAMOCHKIN E G,VOLOSTNIKOV V G.Generalized Gaussianbeams[J].J Opt,2004,A6:157～161.
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    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.
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    SIEGMAN A E.New development in laser resonators[J].Proc SPIE,1990,1224:2～20.
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  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

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Propagation properties of Hermite-Laguerre-Gaussian beams

  • 1. Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China
  • Received Date: 2004-09-06
  • Accepted Date: 2004-11-05
  • Available Online: 2005-11-25

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.

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