• Title/Summary/Keyword: Ellipticity

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Angle of View Polarization Characterization of Liquid Crystal Displays and Their Components

  • Boher, Pierre;Bignon, Thibault;Leroux, Thierry
    • Journal of Information Display
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    • v.8 no.4
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    • pp.10-14
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    • 2007
  • LCD performance is generally evaluated in terms of luminance and color versus viewing angle. In the present paper, we show that this type of display can be favorably characterized in terms of polarization. We show that ELDIM EZContrast instrument which is routinely used for viewing angle measurements can be upgrade for measuring the polarization state of the light at each incidence and azimuth angle. More precisely, the degree of polarization of light, its ellipticity and polarization direction can be measured at each incidence angle between 0 and $88^{\circ}$ and for all the azimuth angles (from 0 to $360^{\circ}$). Important differences between the displays can be detected and related to their internal structures when luminance and color profiles are quite similar. The same setup can also be used to characterize optical components of the LCDs.

Elastohydrodynamic Film Thickness in Elliptical Contacts with Rolling and Spinning (구름/스핀 운동을 하는 경우의 타원접촉 EHL 유막두께)

  • Park, Tae-Jo
    • Tribology and Lubricants
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    • v.24 no.6
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    • pp.355-361
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    • 2008
  • In highly stressed machine elements such as angular contact ball bearings and toroidal type traction drives, the elastohydrodynamic lubrication of elliptical contacts with both rolling and spinning motion are occur. In this paper, a finite difference method with non-uniform grid systems and the Newton-Raphson method are applied to solve the problems. Pressure distributions, film contours and variations of the minimum and central film thicknesses are compared with various ellipticity parameter, dimensionless speed and load parameter. The results showed that the spinning motion has significant influence especially on the film shapes. Reduction of the minimum film thickness under spinning is remarkable whereas the central film thickness is relatively less. Especially variations of the minimum film thicknesses with rolling velocity, load and ellipticity ratio are a great different from those of pure rolling. Therefore present numerical scheme can be used in the analysis of general elliptical contact EHL problems and further studies are required.

Roughness and Shape Analysis on Granular Materials (조립토의 거칠기 및 모양 분석)

  • 민덕기;이완진;이종익
    • Proceedings of the Korean Geotechical Society Conference
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    • 2002.10a
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    • pp.245-252
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    • 2002
  • The roughness of Joomoonjin sand and the Dongchun river sand was analysed by the fractal theory. It was found that the fractal dimension(D$\_$F/) of Joomoonjin sand is a little smaller than the Dongchun river sand. That means Joomoonjin sand is smoother than the Dongchun river sand. The measurements of D$\_$F/ of different fraction of the Donchun river sand showed that large particles were rougher than fine particles. The shapes of both sands were analysed by the Discrete Fourier Transform(DFT) and the Grid-based(GB) method. Normalization of coefficients with respect to size, starting point and its orientation made the coefficients invaried to these characteristics. The mean of the normalized coefficients was used to reconstruct the average shape for both sands, respectively. The measurements of the ellipticity ratio of different fraction of both sands showed that Joomoonjin sand is slightly flatter than the Dongcun river sand.

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ON SOME NEW SOLITONS SOLUTIONS OF NONLINEAR COMPLEX GINZBURG-LANDAU EQUATION SOLVED BY MODIFIED JACOBI ELLIPTIC FUNCTIONS METHOD

  • AICHA BOUSSAHA;HALIM ZEGHDOUDI;RAMAN VINOTH
    • Journal of applied mathematics & informatics
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    • v.42 no.2
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    • pp.391-398
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    • 2024
  • This article explains how solitons propagate when there is a detuning factor involved. The explanation is based on the nonlinear complex Ginzburg-Landau equation, and we first consider this equation before systematically deriving its solutions using Jacobian elliptic functions. We illustrate that one specific ellipticity modulus is on the verge of occurring. The findings from this study can contribute to the understanding of previous research on the Ginzburg-Landau equation. Additionally, we utilize Jacobi's elliptic functions to define specific solutions, especially when the ellipticity modulus approaches either unity or zero. These solutions correspond to particular periodic wave solitons, which have been previously discussed in the literature.

Nuclear star formation in galaxies due to non-axisymmetric bulges

  • Kim, Eunbin;Kim, Sungsoo S.;Lee, Gwang-Ho;Lee, Myung Gyoon;de Grijs, Richard;Choi, Yun-Young
    • The Bulletin of The Korean Astronomical Society
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    • v.39 no.2
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    • pp.61.2-61.2
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    • 2014
  • A non-axisymmetric mass distribution of galactic structures including bulge (or bar) causes gas inflow from the disk to the nuclear region, including intense star formation within few hundred parsecs of galactic central. In order to investigate the relation between the ellipticity of the bulge and the presence of a nuclear starburst, we use a volume-limited sample of galaxies with Mr < -19.5 mag at 0.02 < z < 0.05 from the Sloan Digital Sky Survey Data Release 7. Total sample is 3252 spiral galaxies, which include nuclear starburst galaxies. We find that the occurrence of nuclear starbursts has a moderate correlation with bulge ellipticity of intermediate-type spiral galaxies (morphology classes Sab-Sb) in low galaxy number density environments and isolated regions where the distance between the target galaxies and the closest galaxies is relatively far. In high galaxy number density environments and interacting regions, close encounters and mergers between galaxies can cause gas inflow to the nuclear region even without the presence of non-axisymmetric bulges.

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