• Title/Summary/Keyword: poincare sphere

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Geometric Interpretation of the Unitary Jones Matrix and Its Vectorial Representation (유니타리 존즈행렬의 기하학적 해석과 벡터표현)

  • 노봉규;김진승
    • Korean Journal of Optics and Photonics
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    • v.5 no.1
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    • pp.25-30
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    • 1994
  • We derive a set of formuale which show one-to-one correspondence between the the unitary Jones matrices of transparent anisotropic media and the rotational transformations on the Poincare sphere. By using the formuale one can determine the vectorial representation of the rotational transformation on the Poincare sphere which specifies the direction of the axis and the angle of the rotation in terms of the three parameters specific to the corresponding unitary Jones matrix, and conversely the the three parameters of the uniatry Jones matrix in terms of the vectorial representation of the corresponding rotational transformation on the Poincare sphere. To understand the polarization transmission characteristics of an optical system consisting of transparent linear anisotropic media, start with the Jones calculus to get the unitary Jones matrix for the whole system and then convert it to a rotational transformation on the Poincare sphere, from which we can intuitively understand the effect of the optical system on the polarization state of the light passing through the system.

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Design of a reflective multi-color STN-LCD on the poincare sphere (뽀앙까레 구면을 이용한 반사형 칼라 STN 액정 표시소자의 설계)

  • 강기형;문정민;윤태훈;김재창;이기동;이응상
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.34D no.7
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    • pp.62-70
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    • 1997
  • In this paper, the optical conditins of a reflective multi-color STN-LCD based on electrical control of birefringence is designed on the poincare sphere. First of all, the angles of polarizer and analyzer for the best color purity are decided in the configuration without a retardation film. A retardation film is introduced for a bright white in the range of the applied voltage. The sretardation and the angle of the retardation film are also decided on the poincare shpere. The test cell is farbricated and its measured spectral transmittance and the CIE chromaticity diagram agree well with simulations.

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The improvement of viewing angle characteristics of BTN LCD by using a optical retardation film (위상판을 써서 BTN 액정 표시소자의 시야각 특성을 개선하는 방법)

  • 양병관;김진승;노봉규
    • Korean Journal of Optics and Photonics
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    • v.11 no.1
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    • pp.19-24
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    • 2000
  • Optical transmission characteristics of retardation film for obliquely incident light is calculated by using extended Jones calculus and it is geometrically interpreted on Poincare sphere representation as rotational transformation. The characteristics of a retardation film is that while the rotation axis is fixed at a point on the Equator of the Poincar sphere, the rotation angle varies with the direction of incidence. This property can be compensated by using a tandem arrangement of the two optical films whose optic axes do not coincident, and this method can be used for the improvement of the viewing angle characteristics of BTN cells. cells.

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A theoretical study on Ti:LiNbO3 integrated optical polarization mode controllers (Ti:LiNbO3 집적광학형 편광모드 조절기의 이론적 고찰)

  • 문제영;정홍식;이한영
    • Korean Journal of Optics and Photonics
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    • v.15 no.2
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    • pp.142-148
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    • 2004
  • We investigated a Ti:LiNbO$_3$ based integrated-optic polarization controller with a Ti-indiffused waveguide along the z-axis utilizing the electro-optic effect. The device consists of a first quarter-wave (λ/4) phase-shifter followed by a half-wave(λ/2) and a second quarter-wave(λ/4) wave-plate, which is rotated synchronously with the first quarter-wave phase-shifter. We analyzed the operation principles of the device utilizing cascaded transfer matrices based on Jones matrix and Poincare sphere, simulated driving voltages for various input states of polarization (SOP), and theoretically confirmed transformations from any arbitrary input SOP into any general output SOP.

Fundamental condition for the realization of maximal contrast and brightness in liquid crystal display device: II. Polychromatic case (액정표시소자에서 화면의 명암대비와 밝기를 극대화하는 기본조건: II. 다색광의 경우)

  • 양병관;김진승;노봉규
    • Korean Journal of Optics and Photonics
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    • v.14 no.5
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    • pp.498-503
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    • 2003
  • We analyze the electro-optic polarization transmission characteristics of liquid crystal cells in the Poincare sphere representation. We determine fundamental conditions on maximizing of brightness and contrast ratio of liquid crystal display devices for polychromatic light by use of retardation films. For optimizing two colors, at least two properly designed retardation films are needed, and for three wavelengths, either it can be approximated to the two-color case or three retardation films are needed.

An Optical Configuration for Vertical Alignment Liquid Crystal cell with Wide Viewing Angle

  • Ji, Seung-Hoon;Lee, Gi-Dong
    • Journal of Information Display
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    • v.9 no.2
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    • pp.22-27
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    • 2008
  • We propose an optical configuration of a vertical alignment (VA) liquid crystal (LC) cell to eliminate the light leakage in the diagonal direction. VA LC cell has an excellent contrast ratio in the normal direction due to the no phase-retardation. However, change of the phase-retardation occurs in all directions, which causes the light leakage and deteriorates the characteristics of the dark state. We designed the LC cell structure composed of multiple combinations with two A-plates and two C-plates in order to achieve wide viewing property on the Poincare sphere. From calculations, we show that the proposed structure can improve the viewing angle characteristics by compensating for the light leakage in all directions.

Polarization Scattering Property of Cascaded Polarization Controllers

  • Muga, Nelson J.;Ferreira, Mario F.;Pinto, Armando Nolasco
    • ETRI Journal
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    • v.29 no.6
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    • pp.838-840
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    • 2007
  • The relation between the allowed range of variation of polarization controller wave-plates angles and the respective polarization scattering properties is investigated. It is demonstrated that a nearly uniform polarization scattering over the Poincare sphere is obtained using a concatenation of three polarization controllers with angles randomly changed between $-{\pi}$/4 and ${\pi}$/4. It is also shown that an improvement of the scattering properties is obtained if the configuration angles are allowed to change between $-{\pi}$/2 and ${\pi}$/2.

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Design of a Reflective STN LCD On the Poincare Sphere (뽀앙까레 구면을 이용한 반사형 STN LCD의 설계)

  • 김도연;이서헌;심사용;이기동;김재창;윤태훈
    • Proceedings of the Optical Society of Korea Conference
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    • 2001.02a
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    • pp.140-141
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    • 2001
  • 반사형 STN-LCD (supertwisted nematic liquid crystal display) 는 많은 display에서 사용되고 있는 LCD mode 중의 하나이다. 그러나 현재 많이 사용되는 반사형 STN-LCD는 그림 1과 같이 한 장의 polarizer와 두장의 retardation film을 사용하는 구조이므로 각각의 component에 대한 parameter들에 의해 display의 표시 성능이 좌우된다. 먼저 Reflective STN-LCD의 보상에 필요한 parameter를 살펴보면, 그림 1과 같이 5개 ( $\alpha$, ø$_1$, ø$_2$, 각 retarder의 retardation : Δnd$_1$, Δnd$_2$)의 parameter의 결정이 필요하다. (중략)

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액정셀의 광학적 동특성 분석을 위한 실시간 측광식 편광계측기 : 제작과 성능시험

  • Yang, Byeong-Kwan;Rho, Bong-Gyu;Park, Chan;Kim, Jin-Seung;Kim, Jae-Ki
    • Korean Journal of Optics and Photonics
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    • v.8 no.6
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    • pp.486-491
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    • 1997
  • A division-of-amplitude type photopolarimeter has been constructed for the analysis of the dynamic optical characteristics of liquid crystal panels, one of the essential components of liquid crystal displays. In this instrument an incoming light ray, whose state of polarization is to be determined, is divided into three rays of nearly same intensities and of identical polarization state by using NPBS'(non-polarizing beam splitters). Each of the three rays is further divided into two components of orthogonal polarization states by using a PBS(polarizing cube beamsplitter) or by using a combination of a quater wave plate followed by a PBS. The intensity of each ray is measured by using a photodiode to produce a set of six photo-signals, which in turn are converted into four Stokes parameters describing the state of polarization of the incoming ray. Performance test of the insrument shows that its time resolution is 80 $mutextrm{s}$, accuracy $\pm$0.3 degrees when the state of polarization of the incoming ray is representated on the Poincare sphere.

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Tunable Quarter-wave Plate Consisting of Two Phase Retarders and the Design of a Circular Polarizer (두 개의 위상지연판이 중첩된 가변 4분파장 위상지연자 및 원편광자의 설계)

  • Kim, Sang Youl
    • Korean Journal of Optics and Photonics
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    • v.25 no.3
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    • pp.150-154
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    • 2014
  • The conditions under which a composite retarder consisting of two different retardation plates can be operated as a tunable quarter-wave plate are derived. The explicit expressions for the azimuthal angle of a linear polarizer and those of two retardation plates to generate circularly polarized light are presented as a function of retardation angles. Those expressions for the azimuthal angles derived using the Jones matrix formalism are verified as identical to the expressions derived from the analysis of the trajectory on a Poincar$\acute{e}$ sphere. A couple of examples are presented for generating circularly polarized light when two identical retardation plates are used.