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Volume 29 Issue 4
Sep.  2013
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Citation:
shu

The revision of Debye formula

  • 1.

    Department of Information Engineering, Chengdu University of Technology, Chengdu 610059, China;

  • 2.

    Instiute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China;

  • 3.

    National Laboratory of Laser Technology, HUST, Wuhan 430074, China

  • Received Date: 2004-06-16
    Accepted Date: 2004-07-07
  • According to the Huygens-Fresnel principle,Debye formula is revised.By using the revised Debye formula the diffraction of a converging spherical wave at a circular aperture is studied and the results are compared in detail with those obtained by using the Li-Wolf formula and original Debye formula.It is shown that the revised Debye formula is still valid for the low Fresnel number near the geometric focus and can give focal shift that can not be predicted in the use of the Debye formula.
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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,A1(8):801～807.
    [2] 玻恩 M,沃耳夫 E.光学原理 [M].北京:科学出版社,1978.483～576.
    [3]

    LI Y.Encircled energy for systems of different Fresnel numbers [J].Optik,1983,64(3):207～218.
    [4]

    SHEPPARD C J R.Validity of the Debye approximation[J].Opt Lett,2000,25(22):1660～1662.
    [5]

    WOLF E,LI Y.Conditions for the validity of the Debye integral representation of focused fields [J].Opt Commun,1981,39:205～210.
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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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The revision of Debye formula

  • 1. Department of Information Engineering, Chengdu University of Technology, Chengdu 610059, China;
  • 2. Instiute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China;
  • 3. National Laboratory of Laser Technology, HUST, Wuhan 430074, China
  • Received Date: 2004-06-16
  • Accepted Date: 2004-07-07
  • Available Online: 2005-07-25

Abstract: According to the Huygens-Fresnel principle,Debye formula is revised.By using the revised Debye formula the diffraction of a converging spherical wave at a circular aperture is studied and the results are compared in detail with those obtained by using the Li-Wolf formula and original Debye formula.It is shown that the revised Debye formula is still valid for the low Fresnel number near the geometric focus and can give focal shift that can not be predicted in the use of the Debye formula.

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