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Volume 29 Issue 1
Sep.  2013
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Citation:
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Intensity distribution of converging spherical waves passing through an annular aperture

  • 1.

    Department of Applied Physics, Southwest Jiaotong University, Chengdu 610031, China;

  • 2.

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

  • Corresponding author: LÜ Bai-da, badalu@scu.edu.cn
  • Received Date: 2004-01-05
    Accepted Date: 2004-03-04
  • Based on the Fresnel diffraction integral,the analytical expression for the field distribution of converging spherical waves passing through an annular aperture is derived and some special cases are discussed.Numerical calculations are performed to show the dependence of intensity distribution on the Fresenl number and obscure ratio.In order to illustrate the valid range of the axial intensity expression and approximation formulae numerical results of both the methods are compared.
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  • [1]

    LI Y, WOLF E. Three-dimensional intensity distribution near the focus in systems of different Fresnel numbers [J]. J O S A,1984,1 (8):801～808.
    [2]

    POON T. Fooal shift in focused annular beams [J]. Opt Commun,1988,65 (6):401～406.
    [3]

    KATHURIA Y P. Focal shift in converging annular beam:a corollary [J]. J Opt,1989,20(3):141～144.
    [4]

    MANUEL M,CARLOS J Z,PEDRO A et al. Effective Fresnel-number concept for evaluating the relative focal shift in focused beams [J]. J O S A,1998,A15(2):449～455.
    [5]

    BORN M, WOLF E. Prinoiples of optics [M]. Cambridge: Pergamon Press,2001. 485～489.
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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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Intensity distribution of converging spherical waves passing through an annular aperture

    Corresponding author: LÜ Bai-da, badalu@scu.edu.cn
  • 1. Department of Applied Physics, Southwest Jiaotong University, Chengdu 610031, China;
  • 2. Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China
  • Received Date: 2004-01-05
  • Accepted Date: 2004-03-04
  • Available Online: 2005-01-25

Abstract: Based on the Fresnel diffraction integral,the analytical expression for the field distribution of converging spherical waves passing through an annular aperture is derived and some special cases are discussed.Numerical calculations are performed to show the dependence of intensity distribution on the Fresenl number and obscure ratio.In order to illustrate the valid range of the axial intensity expression and approximation formulae numerical results of both the methods are compared.

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