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An Improvement of the Extended Jones Matrix Expression for Analyzing Polarization Transmission Characteristics of a Uniaxial Medium

이방성 매질의 편광투과특성 분석을 위한 확장된 존스 행렬식의 개선

  • Ryu, Jang-Wi (Department of Molecular Science and Technology, Ajou University) ;
  • Shin, You-Sik (Department of Molecular Science and Technology, Ajou University) ;
  • Kim, Sang-Youl (Department of Molecular Science and Technology, Ajou University) ;
  • An, Sung-Hyuck (Department of Physics, Ajou University) ;
  • Kim, Yong-Ki (Samsung Advanced Technology Training Institute)
  • 류장위 (아주대학교 분자과학기술학과) ;
  • 신유식 (아주대학교 분자과학기술학과) ;
  • 김상열 (아주대학교 분자과학기술학과) ;
  • 안성혁 (아주대학교 물리학과) ;
  • 김용기 (삼성전자첨단기술연수소)
  • Published : 2008.04.30

Abstract

The exact transmission coefficients at the interface between a uniaxial anisotropic medium and an isotropic medium at? oblique incidence are derived by applying the extended Jones matrix method. When the birefringence of the uniaxial anisotropic medium is small ($|n_e-n_o|\;{\ll}\;n_o,\;n_e$), the exact transmission coefficients are compared with those by the conventional extended Jones matrix method by Yeh et al. They showed an excellent agreement with each other. In addition, using the exact transmission coefficients, we calculated the polarization characteristics of a light through a uniaxial medium to an incident light with arbitrary polarization state at? oblique incidence. We compared the transmittances of an unpolarized light through a pair of crossed o-type polarizers by two different methods and calculated the transmittance as the variation of the optical constants of the polarizers to evaluate of the extinction ratio. The polarization analysis method using the exact transmission coefficients can be applied to polarization characteristics of a light through a uniaxial medium with large birefringence as well as to liquid crystals and to optical anisotropic material.

확장된 존스 행렬법을 응용하여 등방성 매질과 이방성 매질의 경계면에서 투과계수를 근사적인 방법을 사용하지 않고 정확히 계산하였다. 광학 이방성이 작은 경우($|n_e-n_o|\;{\ll}\;n_o,\;n_e$), 계산된 투과계수가 근사식에 의한 투과계수와 일치하는 것을 확인하였다. 정확한 투과계수 표현을 사용하여 임의의 편광상태로 입사한 빛이 단축이방성 a-판을 투과한 후의 편광상태를 임의의 입사각과 방위각에 대하여 계산하였다. 또한 광축이 수직으로 교차된 이상적인 두 o-타입 편광자에 편광되지 않은 빛이 투과한 경우 투과율을 임의의 입사각과 방위각에서 계산한 후, 기존의 근사식과 비교하였고, 완전하지 않은 두 편광자의 소광계수와 두께의 변화에 따른 투과율을 계산하여 실제의 편광자를 상정한 소광도를 평가하였다. 근사식이 적용되지 않는 이방성이 큰 이방성 매질을 통과한 후의 빛의 편광상태를 분석할 때 적용될 수 있도록 정확한 투과계수를 사용하는 방법을 제시함으로써 액정 디스플레이 분야 광소자의 편광 분석에 기여하고자 하였다.

Keywords

References

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