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)
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
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.
Received: 17 September 2007
Revised: 24 September 2007
Accepted manuscript online:
(Edge and boundary effects; reflection and refraction)
Fund: 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
Cite this article:
Li Chun-Fang(李春芳), Zhang Yan(张妍), Chen Xi(陈玺), and Zhu Qi-Biao(朱绮彪) Non-geometrical effects on Gaussian beams transmitting through a thin dielectric slab 2008 Chin. Phys. B 17 1758
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