中国物理B ›› 2011, Vol. 20 ›› Issue (3): 34202-034202.doi: 10.1088/1674-1056/20/3/034202

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Approximate analytical expressions of apertured broadband beams in the far field

游开明1, 陈列尊1, 王友文1, 陆世专2   

  1. (1)Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang 421008, China; (2)National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China;Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang 421008, China
  • 收稿日期:2010-05-24 修回日期:2010-11-16 出版日期:2011-03-15 发布日期:2011-03-15
  • 基金资助:
    Project supported by the Doctorial Start-up Fund of Hengyang Normal University, China (Grant No. 09B06), and the Natural Science Foundation of Hunan Province, China (Grant No. 08jj3001).

Approximate analytical expressions of apertured broadband beams in the far field

Lu Shi-Zhuan(陆世专)a)b),You Kai-Ming(游开明)b), Chen Lie-Zun(陈列尊)b), and Wang You-Wen(王友文)b)   

  1. a National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China; b Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang 421008, China
  • Received:2010-05-24 Revised:2010-11-16 Online:2011-03-15 Published:2011-03-15
  • Supported by:
    Project supported by the Doctorial Start-up Fund of Hengyang Normal University, China (Grant No. 09B06), and the Natural Science Foundation of Hunan Province, China (Grant No. 08jj3001).

摘要: The approximate analytical expressions of the apertured broadband beams in the far field with Gaussian and Laguerre--Gaussian spatial modes are presented. For the radially polarized Laguerre--Gaussian beam, the result reveals that the electromagnetic field in the far field is transverse magnetic. The influences of bandwidth ($\varGamma$) and truncation parameter ($C_0$) on the transverse intensity distribution of the Gaussian beam and on the energy flux distribution of radially polarized Laguerre--Gaussian beam are analysed.

关键词: broadband beams, Laguerre--Gaussian beam, apertured

Abstract: The approximate analytical expressions of the apertured broadband beams in the far field with Gaussian and Laguerre--Gaussian spatial modes are presented. For the radially polarized Laguerre--Gaussian beam, the result reveals that the electromagnetic field in the far field is transverse magnetic. The influences of bandwidth ($\varGamma$) and truncation parameter ($C_0$) on the transverse intensity distribution of the Gaussian beam and on the energy flux distribution of radially polarized Laguerre--Gaussian beam are analysed.

Key words: broadband beams, Laguerre–Gaussian beam, apertured

中图分类号:  (Diffraction and scattering)

  • 42.25.Fx
42.60.Jf (Beam characteristics: profile, intensity, and power; spatial pattern formation) 42.30.Kq (Fourier optics)