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Volume 28 Issue 6
Sep.  2013
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Second-order moments matrix and M2 factor of optical beams

  • Received Date: 2003-10-28
    Accepted Date: 2003-11-30
  • Based on the 4×4 second-order moments matrix,the M2 factor and intrinsic astigmatism a of general optical beams a restudied.The analytical expressions for the M2 factor and intrin sic astigmatism a of some typical types of beam,such as the general astigmatic beam,rotationally simple astigmatic beam,aligned simple astigmatic beam and stigmatic beam,are given and analyzed.It is shown that the twist result is an increase of the intrinsic astigmatism,but doesn't affect the M2 factor in general.
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    SIEGMAN A E.New developments in laser resonators[J].SPIE,1990,1224:2~14.
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    NEMES G,SERNA J.The ten physical parameters associated with a full general astigmatic beam:a Gauss-Shell model[A].Proceedings of the 4th international workshop on laser beam and optics characterization[C].Stuttgart:Institut für Strahlwerkzeuge,1997.92~105.
    [3]

    NEMES G.Measuring and handing general astigmatic beams[A].Proceedings of the 1st Workshop on Laser Beam Characterization[C].Madrid:Sociedad Española de Optica,1993.325~358.
    [4]

    NEMES G.Synthesis of general astigmatic optical systems,the detwisting procedure,and the beam quality factors for general astigmatic laser beams[A].Proceedings of the 2nd Workshop on Laser Beam Characterization[C].Berlin:Festkrper-Laser-Institut GmbH,1994.93~104.
    [5]

    EPPICH B,FRIBERG A T,GAO C et al.Twist of coherent fields and beam quality[J].SPIE,1996,2870:260~267.
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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Second-order moments matrix and M2 factor of optical beams

  • 1. Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China;
  • 2. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330027, China

Abstract: Based on the 4×4 second-order moments matrix,the M2 factor and intrinsic astigmatism a of general optical beams a restudied.The analytical expressions for the M2 factor and intrin sic astigmatism a of some typical types of beam,such as the general astigmatic beam,rotationally simple astigmatic beam,aligned simple astigmatic beam and stigmatic beam,are given and analyzed.It is shown that the twist result is an increase of the intrinsic astigmatism,but doesn't affect the M2 factor in general.

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