• Title/Summary/Keyword: Extended Jones Matrix

Search Result 11, Processing Time 0.036 seconds

Analysis of Integral Imaging with Multiple Birefringence Lens Arrays Using Jones Matrix

  • Xu, Kai;Hwang, Yong-Seok;Lee, Sang-Shin
    • Proceedings of the Optical Society of Korea Conference
    • /
    • 2009.10a
    • /
    • pp.274-275
    • /
    • 2009
  • An integral imaging system resorting to multiple birefringence lens arrays using Jones Matrix was analyzed and implemented. Each birefringence lens array was produced by placing a liquid crystal layer on a conventional lens array. Its depth of field was proved to be extended theoretically.

  • PDF

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;Shin, You-Sik;Kim, Sang-Youl;An, Sung-Hyuck;Kim, Yong-Ki
    • Korean Journal of Optics and Photonics
    • /
    • v.19 no.2
    • /
    • pp.150-158
    • /
    • 2008
  • 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.

An Optical Analysis of Viewing-angle Switchable Display Using ELC Lens (액정 전계 렌즈 기반의 시청구간 전환가능 디스플레이의 광학적 해석)

  • Jeong, Shin-Yong;Park, Woo-Sang
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
    • /
    • v.30 no.4
    • /
    • pp.241-245
    • /
    • 2017
  • This paper proposes a private display that can adjust viewing angles by using an electric-field-driven (EFD) LC Lens. The EFD LC Lens design and simulation were analyzed by using the Extended Jones Matrix Method. The conventional method for attaching a private film to the display was difficult. In order to solve this problem, in this study, by using the EFD LC Lens, we devised a method that can view images more conveniently. We analyzed the luminance and illumination of the optical viewing distance by using the Extended Jones Matrix Method. We also measured the intensity of the viewing angles. The simulation attached the EFD LC Lens to the 14" Full HD RGB stripe wide panel. We calculated the relative luminance distribution and the luminance distribution on the viewing angle of the image at the optimum viewing distance of 60 cm, using the EFD LC Lens and the lenticular lens. The proposed method could be used to design private displays that can adjust the viewing angle of the EFD LC Lens.

Bayesian information criterion accounting for the number of covariance parameters in mixed effects models

  • Heo, Junoh;Lee, Jung Yeon;Kim, Wonkuk
    • Communications for Statistical Applications and Methods
    • /
    • v.27 no.3
    • /
    • pp.301-311
    • /
    • 2020
  • Schwarz's Bayesian information criterion (BIC) is one of the most popular criteria for model selection, that was derived under the assumption of independent and identical distribution. For correlated data in longitudinal studies, Jones (Statistics in Medicine, 30, 3050-3056, 2011) modified the BIC to select the best linear mixed effects model based on the effective sample size where the number of parameters in covariance structure was not considered. In this paper, we propose an extended Jones' modified BIC by considering covariance parameters. We conducted simulation studies under a variety of parameter configurations for linear mixed effects models. Our simulation study indicates that our proposed BIC performs better in model selection than Schwarz's BIC and Jones' modified BIC do in most scenarios. We also illustrate an example of smoking data using a longitudinal cohort of cancer patients.

A Geometrical Analysis Method of ELC Lens for The 3D Display for Optimum Design (3차원 영상출력을 위한 ELC 렌즈의 기하광학적 해석 방법 및 최적 설계)

  • Kim, Bong-Sik;Kim, Keon-Woo;Baik, Seung-Jo;Park, Woo-Sang
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
    • /
    • v.26 no.6
    • /
    • pp.457-461
    • /
    • 2013
  • In this paper, a novel method based on geometrical optics is proposed to calculate the optical characteristics of an electric field driven liquid crystal (ELC) lens. For an optimally designed ELC lens, effective refractive index is calculated and then ray tracing is carried out using Huygens' principle. From the results, the intensity distribution at the optimum viewing distance (OVD) is obtained. To confirm the validity of our work, the result is compared with that calculated by the extended Jones matrix method (EJMM). As a result, it turns out that the novel method provides more simple and rigorous simulation results than the EJMM.

Optical Compensation of IPS-LCD for Symmetric-High-Contrast at Off-Axis Oblique View (측면시야각에서의 대칭적 명암대비비 향상을 위한 IPS-LCD 광학보상)

  • Kim, Tae-Hyeon;Kim, Bong-Sik;Park, Woo-Sang
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
    • /
    • v.29 no.3
    • /
    • pp.175-180
    • /
    • 2016
  • In this study, we proposed an optical compensation method to improve the symmetricity of contrast ratio for wide viewing angle IPS (in-plane switching) LCD. First, the phase retardation depending on the thickness of compensation film is calculated, and then the phase change is presented at the $Poincar{\acute{e}}$ sphere. The phase retardation and the polarization state of the light passing through the optical elements are caculated by using the EJMM (extended Jones matrix method). In addition, the transmittance and the contrast countour are also calculated by using the Berremann's $4{\times}4$ matrix method. The simulation is carried out for a IPS LC cell with positive A/C/A compensation film. From the standard deviation of the contrast ratio, we confirmed the symmetricity at each viewing angle is inversely proportional to the standard deviation and calculated the optimum design condition of the uniaxial compensation film for the IPS LCD.

Theoretical Analysis of Biaxial Films for the Optical Compensation of TN-LCDs (TN-LCD 광학보상을 위한 Biaxial Film의 이론적 해석)

  • Kim, Bong-Sik;Kang, Choon-Ky;Park, Woo-Sang
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
    • /
    • v.25 no.3
    • /
    • pp.209-212
    • /
    • 2012
  • In this paper, we have studied on the optimal design of the optical compensation film for the TN-LCDs. To have wide viewing angle panels, several methods such as multi-domain method, optical path method, and phase compensation method have been proposed. Among these methods, this paper focused on the phase compensation method. In the phase compensation method, the phase retardation generated from the optical birefringence for the off-axis incident is compensated by using optical films with refractive anisotropy. To compensate the phase retardation of the TN-LCDs, we have proposed design concept for the biaxial optical films and analyzed the optical performance for the proposed structures. The calculation of the dynamic motion of the liquid crystals was based on the Ericksen-Leslie theory and the optical performance of the TN-LCD was calculated from the Extended Jones Matrix Method. From the results, we have confirmed that the optical characteristics of the TN-LCDs with the biaxial films have been improved considerably compared with the TN-LCDs compensated by the combination of the uniaxial films.

Rigorous Analysis of Viewing Zone for 3D Display with Electric-field-driven Liquid Crystal Lens (액정 전계 렌즈 기반 3차원 디스플레이 장치의 엄정한 시청영역 분석)

  • Kim, Tae-Hyeon;Kim, Bong-Sik;Park, Woo-Sang
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
    • /
    • v.29 no.8
    • /
    • pp.494-498
    • /
    • 2016
  • In this paper, we proposed the 3-dimenstional (3D) analysis for calculating the optical characteristics of an autostereoscopic display with electric field driven liquid crystal (ELC) lens. From 3D analysis considering the slanting of lens, we calculate the cross-talk of each images and the distortion of viewing zone. Using geometric opics and extended Jones matrix method (EJMM), phase retardation of ELC lens according to position is calcuated and then optical path difference in 3D space considering tilt and azimuth angle of incident light is gotten. Then, intensity distribution is presented in the space. Through camparing the intensity distribution using ideal lens with the ELC lens, we identify the noise and image distortion of ELC lens. As a result, this analysis is expected to provide optimum design conditions for realistic and rigorous 3D display with ELC lens.

Optimal Design of Electric Field Driven Liquid Crystal Fresnel Lens Using Taguchi's Method (다구찌 실험계획법을 이용한 액정 전계 프레넬 렌즈의 최적 설계)

  • Kim, Bong-Sik;Kim, Jong-Woon;Park, Woo-Sang
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
    • /
    • v.25 no.3
    • /
    • pp.218-223
    • /
    • 2012
  • A rigorous electro-optical simulation and ray tracing for an electric field driven liquid crystal Fresnel lens was proposed to obtain design parameters of the electrode pattern of the Fresnel lens. The optimal design was carried out using Taguchi's experimental method for 17.1"($368{\times}229.5$ mm) wide LCD panels with 9 views. For the calculation of the distribution of liquid crystal molecules and the optical transmission of the panel, finite difference method and extended Jones matrix method were used to deal effectively with highly nonlinear and complicated motional equations of the liquid crystal molecules and to obtain the oblique transmission characteristics of the LCD panel. As simulation results, the optimal lengths of the 3 electrodes of the Fresnel lens are 4.0 ${\mu}m$, 30 ${\mu}m$ and 83 ${\mu}m$, respectively, and the locations of the second and third electrodes are 32.9-33.0 ${\mu}m$ and 45.9-46.0 ${\mu}m$, respectively. The optimal applied voltage of the 3 electrodes are found to be 5.75 V, 7.80 V and 11.9 V, respectively.