中国物理B ›› 2009, Vol. 18 ›› Issue (5): 1853-1890.doi: 10.1088/1674-1056/18/5/023

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Nonparaxial propagation of a vectorial apertured off-axis Lorentz beam

周国泉   

  1. School of Sciences, Zhejiang Forestry University, Lin'an 311300, China
  • 收稿日期:2008-07-19 修回日期:2008-11-11 出版日期:2009-05-20 发布日期:2009-05-20
  • 基金资助:
    Project supported by the Scientific Research Fund of Zhejiang Provincial Education Department, China (Grant No 20060677).

Nonparaxial propagation of a vectorial apertured off-axis Lorentz beam

Zhou Guo-Quan(周国泉)†   

  1. School of Sciences, Zhejiang Forestry University, Lin'an 311300, China
  • Received:2008-07-19 Revised:2008-11-11 Online:2009-05-20 Published:2009-05-20
  • Supported by:
    Project supported by the Scientific Research Fund of Zhejiang Provincial Education Department, China (Grant No 20060677).

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摘要： Based on the vectorial Rayleigh--Sommerfeld integral formula and the complex Gaussian expansion of the hard-edge aperture function, an analytical propagation expression for a nonparaxial vectorial off-axis Lorentz beam passing through a rectangular aperture is derived. The unapertured case, the far field expression and the scalar paraxial result are also presented as special cases of the general formulae, respectively. Some numerical examples are also given to show the propagation characteristics of a nonparaxial vectorial off-axis Lorentz beam through a rectangular aperture. It is indicated that the f parameter, the off-axis displacement and the truncation parameter all play an important role in determining nonparaxial propagation behaviour.

关键词: vectorial Rayleigh--Sommerfeld integral, nonparaxial vectorial off-axis Lorentz beam, rectangular aperture

Abstract: Based on the vectorial Rayleigh--Sommerfeld integral formula and the complex Gaussian expansion of the hard-edge aperture function, an analytical propagation expression for a nonparaxial vectorial off-axis Lorentz beam passing through a rectangular aperture is derived. The unapertured case, the far field expression and the scalar paraxial result are also presented as special cases of the general formulae, respectively. Some numerical examples are also given to show the propagation characteristics of a nonparaxial vectorial off-axis Lorentz beam through a rectangular aperture. It is indicated that the f parameter, the off-axis displacement and the truncation parameter all play an important role in determining nonparaxial propagation behaviour.

Key words: vectorial Rayleigh--Sommerfeld integral, nonparaxial vectorial off-axis Lorentz beam, rectangular aperture

中图分类号:  (Wave propagation, transmission and absorption)

  • 42.25.Bs
42.60.-v (Laser optical systems: design and operation)