Intensity distribution of converging spherical waves passing through an annular aperture

LIU Bo; L&#220; Bai-da

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LASER TECHNOLOGY > 2005 > 29(1): 77-79,93.

LIU Bo, LÜ Bai-da. Intensity distribution of converging spherical waves passing through an annular aperture[J]. LASER TECHNOLOGY, 2005, 29(1): 77-79,93.

Citation:

LIU Bo, LÜ Bai-da. Intensity distribution of converging spherical waves passing through an annular aperture[J]. LASER TECHNOLOGY, 2005, 29(1): 77-79,93.

Citation:

LIU Bo, LÜ Bai-da. Intensity distribution of converging spherical waves passing through an annular aperture[J]. LASER TECHNOLOGY, 2005, 29(1): 77-79,93.

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Intensity distribution of converging spherical waves passing through an annular aperture

LIU Bo¹,
LÜ Bai-da^1,2, ,

1.
Department of Applied Physics, Southwest Jiaotong University, Chengdu 610031, China;
2.
Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China

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Received Date: January 04, 2004
Revised Date: March 03, 2004
Published Date: January 24, 2005

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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.
- converging spherical wave,
- annular aperture,
- intensity distribution,
- focal shift,
- effective Fresnel number

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References (5)

References

[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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