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Volume 27 Issue 2
Sep.  2013
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Citation:
shu

Study on beam propagation characteristics by means of the Fourier series expansion

  • 1.

    College of Physics & Communication Electronics, Jiangxi Normal University, Nanchang, 330027

  • Received Date: 2001-11-13
    Accepted Date: 2002-02-25
  • By means of the Fourier series expansion,an approximate analytical propagation equation of flattened Gaussian beams(FGBs) passing through an apertured paraxial ABCD optical system is derived,and illustr ated with numerical examples,when the transmissivity of the aperture is T(x)=cos(Ωx). The hard-edged aperture can be regarded as a special case of Ω=0. Numerical calculations results obtained by the straightforward integration of the Collins formula and our analytical equation are given,showing a good consistency within a small error range.
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    Gori F.Opt Commun,1994,107:335～341.
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    Lû B D,Luo S R,Zhang B. Opt Commun,1999,164(6):1～6.
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    Ibnchaikh M,Belathal A. Opt Commun,2001,15(6):73～79.
    [4] 罗时荣,吕百达,张彬.物理学报,1999,48(8):1446～1451.
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    Sheppard C J R,Saghafi S.Opt Commun,1996,132(5):144～149.
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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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Study on beam propagation characteristics by means of the Fourier series expansion

  • 1. College of Physics & Communication Electronics, Jiangxi Normal University, Nanchang, 330027
  • Received Date: 2001-11-13
  • Accepted Date: 2002-02-25
  • Available Online: 2003-03-25

Abstract: By means of the Fourier series expansion,an approximate analytical propagation equation of flattened Gaussian beams(FGBs) passing through an apertured paraxial ABCD optical system is derived,and illustr ated with numerical examples,when the transmissivity of the aperture is T(x)=cos(Ωx). The hard-edged aperture can be regarded as a special case of Ω=0. Numerical calculations results obtained by the straightforward integration of the Collins formula and our analytical equation are given,showing a good consistency within a small error range.

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