中国物理B ›› 2006, Vol. 15 ›› Issue (2): 334-339.doi: 10.1088/1009-1963/15/2/018

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Partially coherent nonparaxial modified Bessel--Gauss beams

吕百达1, 高曾辉2   

  1. (1)Institute of Laser Physics & Chemistry, Sichuan University,Chengdu 610064, China; (2)Institute of Optoelectronic Information, Yibin University,Yibin 644007, China;Institute of Laser Physics & Chemistry, Sichuan University,Chengdu 610064, China
  • 收稿日期:2005-06-22 修回日期:2005-10-24 出版日期:2006-02-20 发布日期:2006-02-20
  • 基金资助:
    Project supported by the National High Technology Development Program of China (Grant No 823070) and the National Natural Science Foundation of China (Grant No 10574097).

Partially coherent nonparaxial modified Bessel--Gauss beams

Gao Zeng-Hui (高曾辉)ab, Lü Bai-Da (吕百达)b    

  1. a Institute of Optoelectronic Information, Yibin University, Yibin 644007, China; b Institute of Laser Physics & Chemistry, Sichuan University, Chengdu 610064, China
  • Received:2005-06-22 Revised:2005-10-24 Online:2006-02-20 Published:2006-02-20
  • Supported by:
    Project supported by the National High Technology Development Program of China (Grant No 823070) and the National Natural Science Foundation of China (Grant No 10574097).

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摘要： The concept of partially coherent nonparaxial modified Bessel--Gauss (MBG) beams is proposed. Based on the generalized Rayleigh-Sommerfeld diffraction integral, the analytical propagation equations of nonparaxial MBG beams in free space are derived and analysed, and some special cases are discussed. In particular, under the paraxial approximation our results reduce to the corresponding paraxial ones. Numerical calculation examples are given to illustrate the dependence of intensity and spectral degree of coherence on the beam order $m$, \textit{$\xi $} and $f$ parameters, and to compare the difference between the paraxial and nonparaxial results.

关键词: partially coherent nonparaxial modified Bessel--Gauss (MBG) beam, generalized Rayleigh-Sommerfeld diffraction integral, free-space propagation

Abstract: The concept of partially coherent nonparaxial modified Bessel--Gauss (MBG) beams is proposed. Based on the generalized Rayleigh-Sommerfeld diffraction integral, the analytical propagation equations of nonparaxial MBG beams in free space are derived and analysed, and some special cases are discussed. In particular, under the paraxial approximation our results reduce to the corresponding paraxial ones. Numerical calculation examples are given to illustrate the dependence of intensity and spectral degree of coherence on the beam order $m$, $\xi $ and $f$ parameters, and to compare the difference between the paraxial and nonparaxial results.

Key words: partially coherent nonparaxial modified Bessel--Gauss (MBG) beam, generalized Rayleigh-Sommerfeld diffraction integral, free-space propagation

中图分类号:  (Beam characteristics: profile, intensity, and power; spatial pattern formation)

  • 42.60.Jf