中国物理B ›› 2008, Vol. 17 ›› Issue (5): 1758-1768.doi: 10.1088/1674-1056/17/5/036

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Non-geometrical effects on Gaussian beams transmitting through a thin dielectric slab

张 妍1, 陈 玺1, 朱绮彪1, 李春芳2   

  1. (1)Department of Physics, Shanghai University, Shanghai 200444, China; (2)Department of Physics, Shanghai University, Shanghai 200444, China;State Key Laboratory of Transient Optics Technology, Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi'an 710119, China
  • 收稿日期:2007-09-17 修回日期:2007-09-24 出版日期:2008-05-20 发布日期:2008-05-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60377025), Science and Technology Commission of Shanghai Municipal of China (Grant No 04JC14036), Shanghai Education Development Foundation of China (Grant No 2007CG52), and t

Non-geometrical effects on Gaussian beams transmitting through a thin dielectric slab

Li Chun-Fang(李春芳)a)b)†, Zhang Yan(张妍)a), Chen Xi(陈玺)a), and Zhu Qi-Biao(朱绮彪)a)   

  1. a Department of Physics, Shanghai University, Shanghai 200444, China; b State Key Laboratory of Transient Optics Technology, Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi'an 710119, China
  • Received:2007-09-17 Revised:2007-09-24 Online:2008-05-20 Published:2008-05-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60377025), Science and Technology Commission of Shanghai Municipal of China (Grant No 04JC14036), Shanghai Education Development Foundation of China (Grant No 2007CG52), and t

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摘要： It is shown that a Gaussian light beam transmitting through a planar thin dielectric slab in the air undergoes four different effects, i.e. lateral Goos--Hänchen-like (GHL) displacement, angular deflection, width modification and longitudinal focal shift as compared with the results predicted by geometrical optics. According to the Taylor expansion of the exponent of transmission coefficient when expressed as an exponential form, the lateral GHL displacement and the angular deflection are the first-order effects and can be negative or positive. The width modification and the longitudinal focal shift are the second-order effects and can also be positive or negative. Owing to the waist-width dependent term, the non-geometrical effects of transmitted beam are not identical with the non-specular effects of reflected beam. The conditions for the validity of those effects are suggested and numerical simulations are also given.

关键词: non-geometrical effects, finite-sized light beam, beam transmission

Abstract: It is shown that a Gaussian light beam transmitting through a planar thin dielectric slab in the air undergoes four different effects, i.e. lateral Goos--Hänchen-like (GHL) displacement, angular deflection, width modification and longitudinal focal shift as compared with the results predicted by geometrical optics. According to the Taylor expansion of the exponent of transmission coefficient when expressed as an exponential form, the lateral GHL displacement and the angular deflection are the first-order effects and can be negative or positive. The width modification and the longitudinal focal shift are the second-order effects and can also be positive or negative. Owing to the waist-width dependent term, the non-geometrical effects of transmitted beam are not identical with the non-specular effects of reflected beam. The conditions for the validity of those effects are suggested and numerical simulations are also given.

Key words: non-geometrical effects, finite-sized light beam, beam transmission

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

  • 42.25.Bs
42.25.Gy (Edge and boundary effects; reflection and refraction)