中国物理B ›› 2007, Vol. 16 ›› Issue (9): 2709-2715.doi: 10.1088/1009-1963/16/9/035

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Analytical structure of Hermite Gaussian beam in far field

周国泉, 陈亮, 储修祥   

  1. School of Sciences, Zhejiang Forestry University, Lin'an 311300, China
  • 收稿日期:2006-08-17 修回日期:2007-02-08 出版日期:2007-09-20 发布日期:2007-09-20
  • 基金资助:
    Project supported by the Scientific Research Fund of Zhejiang Provincial Education Department, China (Grant No~20060677).

Analytical structure of Hermite Gaussian beam in far field

Zhou Guo-Quan(周国泉) †, Chen Liang(陈亮), and Chu Xiu-Xiang(储修祥)   

  1. School of Sciences, Zhejiang Forestry University, Lin'an 311300, China
  • Received:2006-08-17 Revised:2007-02-08 Online:2007-09-20 Published:2007-09-20
  • 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 structure of electromagnetic beam and the method of stationary phase, the analytical structure of Hermite Gaussian beam in far field is presented. The structural energy flux distributions are also investigated in the far field. The structural pictures of some Hermite Gaussian beams are depicted in the far field. As the structure of Hermite Gaussian beam is dominated by the transverse mode numbers and the initial transverse Gaussian half width, it is more complex than that of Gaussian beam. The ratios of the structural energy fluxes to the whole energy flux are independent of the transverse mode numbers and the initial transverse Gaussian half width. The present research reveals the internal vectorial structure of Hermite Gaussian beam from other viewpoint.\

关键词: Hermite Gaussian beam, vectorial structure, method of stationary phase, beam propagation

Abstract: Based on the vectorial structure of electromagnetic beam and the method of stationary phase, the analytical structure of Hermite Gaussian beam in far field is presented. The structural energy flux distributions are also investigated in the far field. The structural pictures of some Hermite Gaussian beams are depicted in the far field. As the structure of Hermite Gaussian beam is dominated by the transverse mode numbers and the initial transverse Gaussian half width, it is more complex than that of Gaussian beam. The ratios of the structural energy fluxes to the whole energy flux are independent of the transverse mode numbers and the initial transverse Gaussian half width. The present research reveals the internal vectorial structure of Hermite Gaussian beam from other viewpoint.

Key words: Hermite Gaussian beam, vectorial structure, method of stationary phase, beam propagation

中图分类号:  (Classical electromagnetism, Maxwell equations)

  • 03.50.De
41.20.-q (Applied classical electromagnetism)