• 한국정보디스플레이학회:학술대회논문집
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• 2006.08a
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• pp.167-170
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• 2006

In this paper, we study how the viewing angle characteristics of a bend cell can be compensated by uniaxial films such as positive a-plate, negative c-plate and circular polarizer. Especially, it is confirmed how the circular polarizer composed of a quarter-wave plate and a linear polarizer enhances the viewing angle characteristics by the $Poincar\acute{e}$ sphere representation. Also, additional compensation film is designed to improve the viewing angle characteristics of the cell by the $Poincar\acute{e}$ sphere representation.

• 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.

• Journal of the Korean Mathematical Society
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• v.34 no.1
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• pp.23-42
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• 1997

A 6-dimensional sphere considered as a homogeneous space $G_2/SU(3)$ where $G_2$ is the group of automorphism of the octonians O. From this representation, we can define an almost comlex structure on a 6-dimensional sphere by making use of the vector cross product of the octonians. Also it is known that a homogeneous space $G_2/U(2)$ coincides with the Grassmann manifold of oriented 2-planes of a 7-dimensional Euclidean space.

• Journal of the Korean Mathematical Society
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• v.54 no.4
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• pp.1331-1343
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• 2017

A curve ${\gamma}$ immersed in the three-dimensional sphere ${\mathbb{S}}^3$ is said to be a slant helix if there exists a Killing vector field V(s) with constant length along ${\gamma}$ and such that the angle between V and the principal normal is constant along ${\gamma}$. In this paper we characterize slant helices in ${\mathbb{S}}^3$ by means of a differential equation in the curvature ${\kappa}$ and the torsion ${\tau}$ of the curve. We define a helix surface in ${\mathbb{S}}^3$ and give a method to construct any helix surface. This method is based on the Kitagawa representation of flat surfaces in ${\mathbb{S}}^3$. Finally, we obtain a geometric approach to the problem of solving natural equations for slant helices in the three-dimensional sphere. We prove that the slant helices in ${\mathbb{S}}^3$ are exactly the geodesics of helix surfaces.

• Journal of the Chungcheong Mathematical Society
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• v.24 no.2
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• pp.319-335
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• 2011

We classify equivariant topoligical complex vector bundles over real projective plane under a compact Lie group (not necessarily effective) action. It is shown that nonequivariant Chern classes and isotropy representations at (at most) three points are sufficient to classify equivariant vector bundles over real projective plane except one case. To do it, we relate the problem to classification on two-sphere through the covering map because equivariant vector bundles over two-sphere have been already classified.

• 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.

• Korean journal of communication and information
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• v.57
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• pp.250-266
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• 2012

In neo-liberalism, the change-value of the market and of the machandise based on the individual as the consumer dominate the public sphere, and the capital power encroach on it. with the technological revolution. At the same time the public sphere as such represent the media sphere, which is more and more subordinate, and have no choice but to do to the governmental authority having political power privatized. The private usage of reason in the public sphere is carried out at the structual level. How can we call such a space in which the private usage of reason is generalized and dominant as the public sphere? And so now, we sound out the possibility of the public sphere such as a new space of the universality where the public usage of reason can be realized without any limits and with free. So, when we imagine the proletarian public sphere, in which co-exist the divers private interests, as a new public sphere capable to be constructed, we can address a question as follow. What is the caracteristic of the proletarian public sphere in modern society?, Is the public community able to be formed and realized in such space? How would have the proletarian public sphere the carateristics of the publis sphere? What is the attribute of the community that the proletarian public sphere would make, and what is its force of emancipation? The power is no longer stable and static. Rather, it is reconstructed and reorganized in the divers phases of the everyday life. It is the reason why we put on the order of the day the proletarian public sphere as alternative public space, which would be a place of divers hegemonic representation. And now, we are aware of the beginning of thses changes.

• Journal of Computational Design and Engineering
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• v.2 no.1
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• pp.55-66
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• 2015

To satisfy safety regulations of Economic Commission for Europe (ECE), the surface regions of automobile parts must have a sufficient degree of roundness if there is any chance that they could contact a sphere of 50.0 mm radius (exterior parts) or 82.5 mm radius (interior parts). In this paper, a new offset-based method is developed to automatically detect the possible sphere-contacting shape of such parts. A polyhedral model that precisely approximates the part shape is given as input, and the offset shape of the model is obtained as the Boolean union of the expanded shapes of all surface triangles. We adopt a triple-dexel representation of the 3D model to enable stable and precise Boolean union computations. To accelerate the dexel operations in these Boolean computations, a new parallel processing method with a pseudo-list structure and axis-aligned bounding box is developed. The possible sphere-contacting shape of the part surface is then extracted from the offset shape as a set of points or a set of polygons.

• 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.

• Journal of the Korean Mathematical Society
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• v.51 no.2
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• pp.403-426
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• 2014

The purpose of this paper is to find expressions of the Fricke spaces of some basic surfaces which are a three-holed sphere ${\sum}$(0, 3), a one-holed torus ${\sum}$(1, 1), and a four-holed sphere ${\sum}$(0, 4). For this goal, we define the involutions corresponding to oriented axes of loxodromic elements and an inner product <,> which gives the information about locations of axes of loxodromic elements. The signs of traces of holonomy elements, which are calculated by lifting a representation from PSL(2, $\mathbb{C}$) to SL(2, $\mathbb{C}$), play a very important role in determining the discreteness of holonomy groups.