Polarization Analysis of Light Passing Through Non-uniform Uniaxial Media

비균일 단축 이방성 매질을 투과하는 빛의 편광상태 변화 표현

  • Ryu, Jang-Wi (Department of Molecular Science and Technology, Ajou University) ;
  • Kim, Sang-Youl (Department of Molecular Science and Technology, Ajou University) ;
  • Kim, Yong-Ki (Samsung Advanced Technology Training Institute)
  • 류장위 (아주대학교 분자과학기술학과) ;
  • 김상열 (아주대학교 분자과학기술학과) ;
  • 김용기 (삼성전자 첨단기술연수소)
  • Received : 2010.05.27
  • Accepted : 2010.06.21
  • Published : 2010.08.25


We suggest an effective expression of transmission coefficients between uniaxial anisotropic media. To study the transmission of oblique incident light by stratified anisotropic planar structures, we included an imaginary isotropic layer sandwiched between those anisotropic media, and then considered multiple reflection within the imaginary layer. The adequacy of this expression is confirmed by comparing the polarization analysis of light passing through the anisotropic medium and the multi.layered anisotropic media.


  1. D. W. Berreman, “Optics in stratified and anisotropic media: 4 × 4 − matrix formulation,” J. Opt. Soc. Am. 62, 502-510 (1972).
  2. D. W. Berreman, “Optics in smoothly varying anisotropic planar structures: application to liquid - crystal twist cells,” J. Opt. Soc. Am. 63, 1374-1380 (1973).
  3. P. Yeh, “Optics of anisotropic layered media: a new $4{\times}4$ matrix algebra,” Surf. Sci. 96, 41-53 (1980).
  4. H. Wöhler, M. Fritsch, G. Haas, and D. A. Mlynski, “Faster 4 × 4 matrix method for uniaxial inhomogeneous media,” J. Opt. Soc. Am. A 5, 1554-1557 (1988).
  5. C. Gu and P. Yeh, “Extended Jones matrix method. II,” J. Opt. Soc. Am. A 10, 966-973 (1993).
  6. A. Lien and C.-J. Chen, “A new $2{\times}2$ matrix representation for twisted nematicliquid crystal displays at oblique incidence,” Jpn. J. Appl. Phys. 35, L1200-L1203 (1996).
  7. F. H. Yu and H. S. Kwok, “Comparison of extended Jones matrices for twisted nematic liquid − crystal displays at oblique angles of incidence,” J. Opt. Soc. Am. A 16, 2772-2780 (1999).
  8. G. D. Landry and T. A. Maldonado, “Complete method to determine transmission and reflection characteristics at a planar interface between arbitrarily oriented biaxial media,” J. Opt. Soc. Am. A 12, 2048-2063 (1995).
  9. P. Yeh and C. Gu, Optics of Liquid Crystal Displays (John Wiley & Sons, Inc., 1999). pp. 46-74.
  10. J. W. Ryu, S. Y. Kim, and Y. K. Kim, “Polarization analysis of composite optical films for viewing angle improvement of liquid crystal display,” Korean J. Opt.Photon. (Hankook Kwanghak Hoeji) 20, 241-248 (2009).
  11. S. Y. Kim, Ellipsometry (Ajou University Press, Korea, 2000), pp. 64-97.

Cited by

  1. Study of Ultra-Small Optical Anisotropy Profile of Rubbed Polyimide Film by using Transmission Ellipsometry vol.18, pp.2, 2014,