中国物理B ›› 2011, Vol. 20 ›› Issue (7): 74203-074203.doi: 10.1088/1674-1056/20/7/074203

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Far-field divergence of a vectorial plane wave diffracted by a circular aperture from the vectorial structure

周国泉   

  1. School of Sciences, Zhejiang A & F University, Lin'an 311300, Chinavspace1mm
  • 收稿日期:2010-11-18 修回日期:2011-01-07 出版日期:2011-07-15 发布日期:2011-07-15

Far-field divergence of a vectorial plane wave diffracted by a circular aperture from the vectorial structure

Zhou Guo-Quan(周国泉)   

  1. School of Sciences, Zhejiang A & F University, Lin'an 311300, China
  • Received:2010-11-18 Revised:2011-01-07 Online:2011-07-15 Published:2011-07-15

摘要: Based on the vectorial structure of an electromagnetic wave, the analytical and concise expressions for the TE and TM terms of a vectorial plane wave diffracted by a circular aperture are derived in the far-field. The expressions of the energy flux distributions of the TE term, the TM term and the diffracted plane wave are also presented. The ratios of the power of the TE and TM terms to that of the diffracted plane wave are examined in the far-field. In addition, the far-field divergence angles of the TE term, the TM term and the diffracted plane wave, which are related to the energy flux distribution, are investigated. The different energy flux distributions of the TE and TM terms result in the discrepancy of their divergence angles. The influences of the linearly polarized angle and the radius of the circular aperture on the far-field divergence angles of the TE term, the TM term and the diffracted plane wave are discussed in detail. This research may promote the recognition of the optical propagation through a circular aperture.vspace1mm

关键词: divergence, plane wave, vectorial structure, diffraction

Abstract: Based on the vectorial structure of an electromagnetic wave, the analytical and concise expressions for the TE and TM terms of a vectorial plane wave diffracted by a circular aperture are derived in the far-field. The expressions of the energy flux distributions of the TE term, the TM term and the diffracted plane wave are also presented. The ratios of the power of the TE and TM terms to that of the diffracted plane wave are examined in the far-field. In addition, the far-field divergence angles of the TE term, the TM term and the diffracted plane wave, which are related to the energy flux distribution, are investigated. The different energy flux distributions of the TE and TM terms result in the discrepancy of their divergence angles. The influences of the linearly polarized angle and the radius of the circular aperture on the far-field divergence angles of the TE term, the TM term and the diffracted plane wave are discussed in detail. This research may promote the recognition of the optical propagation through a circular aperture.

Key words: divergence, plane wave, vectorial structure, diffraction

中图分类号:  (Diffraction and scattering)

  • 42.25.Fx
42.25.Ja (Polarization) 42.60.Jf (Beam characteristics: profile, intensity, and power; spatial pattern formation) 42.79.Ag (Apertures, collimators)