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Chin. Phys. B, 2008, Vol. 17(5): 1758-1768    DOI: 10.1088/1674-1056/17/5/036
CLASSICAL AREAS OF PHENOMENOLOGY Prev   Next  

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.
Keywords:  non-geometrical effects      finite-sized light beam      beam transmission  
Received:  17 September 2007      Revised:  24 September 2007      Accepted manuscript online: 
PACS:  42.25.Bs (Wave propagation, transmission and absorption)  
  42.25.Gy (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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