College Physics ›› 2017, Vol. 36 ›› Issue (10): 16-20.doi: 10. 16854 /j. cnki. 1000-0712. 2017. 10. 006

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Analyses of double reflection and refraction at the interface of two uniaxial crystals by graphic method

SONG Zhe1,2,YU Wei-hang1,ZHANG Lin1,LI Lin1,WU Jing1,DING Yi1   

  1. 1. School of Physics and Electronic Technology,Liaoning Normal University,Dalian,Liaoning 116029,China; 2. Key Laboratory of Space Laser Communication and Testing Technology,Chinese Academy of Sciences, Shanghai 201800,China
  • Received:2016-10-25 Revised:2017-04-27 Online:2017-10-20 Published:2017-10-20

Abstract: Double refraction and double reflection at the interface of two uniaxial crystals with arbitrary orientation of optical axis are analysed by the use of Snell's graphic method. Considering refractive index surface of uniaxial crystal and equal phases for incident light,reflected light and refracted light at the interface,directions of two reflected waves and two refracted waves can be plotted on the chart. According to the optic anisotropy of crystal,directions of light rays and polarizations corresponding to every light wave are analyzed. Based on geometrical relations of all vectors,expressions of the positions of reflected waves,reflected rays,refracted waves and refracted rays are given. The Snell's graphic method is simple and visual. The formulae are universality.

Key words: crystal optics, double refraction, double reflection, refractive index, phase