• Title/Summary/Keyword: plane field

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A Localized Multiquadric (MQ) Interpolation Method on the Hyperbolic Plane (하이퍼볼릭 평면에서의 지역적 MQ 보간법)

  • Park, Hwa-Jin
    • The KIPS Transactions:PartA
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    • v.8A no.4
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    • pp.489-498
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    • 2001
  • A new method for local control of arbitrary scattered data interpolation in the hyperbolic plane is developed in this paper. The issue associated with local control is very critical in the interactive in the interactive design field. Especially the suggested method in this paper could be effectively applied to the interactive shape modeling of genus-N objects, which are constructed on the hyperbolic plane. Since the effects of the changed data affects only the limited area around itself, it is more convenient for end-users to design a genus-N object interactively. Therefore, by improving the global interpolation on the hyperbolic plane where the genus-N object is constructed, this research is aiming at the development and implementation of the local interpolation on the hyperbolic plane. It is implemented using the following process. First, for localizing the interpolating functions, the hyperbolic domain is tessellated into arbitrary triangle patches and the group of adjacent triangle patches of each data point is defined as a sub-domain. On each sub-domain, a weight function is defined. Last, by blending of three weight functions on the overlapped triangles, local MQ interpolation is completed. Consequently, it is compared with the global MQ interpolation using several sample data and functions.

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The Effect of Directivity of Antenna for the Evaluation of Abnormal Area Using Ground Penetrating Radar (지하투과레이더를 이용한 이상구간 평가 시 안테나 지향성의 영향)

  • Kang, Seonghun;Lee, Jong-Sub;Lee, Sung Jin;Park, Young-Kon;Hong, Won-Taek
    • Journal of the Korean Geotechnical Society
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    • v.33 no.11
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    • pp.21-34
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    • 2017
  • The ground penetrating radar (GPR) signal can be measured with different amplitudes according to the directivity, so the directivity of the antenna should be considered. The objective of this study is to investigate the directivity of antenna by analyzing the reflection characteristics of electromagnetic waves radiated from the antenna, and to evaluate effective range of angle that can inspect an abnormal area according to the directivity of antenna. For the measurement of the directivity, a circular metal bar is used as reflector and the signals are measured by changing the angle and the distance between reflector and antenna in the E- and H-plane. The boundary distance between the near field and the far field is determined by analyzing the amplitudes of reflected signals, and two points with different distances from each of near and far fields are designated to analyze radiation patterns in near and far fields. As a result of radiation pattern measurement, in the near field, minor lobes are observed at angle section at more than $50^{\circ}$ in both E- and H-plane. Therefore, antenna has the directivity for the direction of main lobe and minor lobes in near field. In the far field, antenna has the directivity for a single direction of main lobe because minor lobes are not observed. The amplitude of the signal reflected from the near field is unstable, but it can be distinguished from noise. Therefore, in the near field, the ground anomaly can be detected with high reliability. On the other hand, the amplitude of the signal reflected from the far field is stable, but it is hard to distinguish between reflected signal and noise because of the excessive loss of electromagnetic wave. The analyses of directivity in the near and the far fields performed in this study may be effectively used to improve the reliability of the analyses of abnormal area.

CORNER SINGULARITY AT THE MULTIPLE JUNCTION OF THE ELECTRIC TRANSMISSION

  • Choe, Hi-Jun;Park, Kyong-Yop;Sohn, Ayoung
    • Journal of the Korean Mathematical Society
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    • v.42 no.6
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    • pp.1311-1322
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    • 2005
  • We consider the several plane sector domains which are bonded together along common edges with vertex at the origin. Such domains appear in electric conducting problem with multi-layered heterogeneous media. Our aim is to give a structure theorem of the singularities of the electric field at the corner. Also, we provide a regularity theorem for the electric field.

Quench Characteristics of Field Winding in a superconducting Generator Using 2-Dimensional Analysis (2차원 해석을 이용한 초전도 발전기 계자 코일의 퀜치 특성)

  • 강준선;나완수;최세용;권영길;손명환;류강식
    • Proceedings of the Korea Institute of Applied Superconductivity and Cryogenics Conference
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    • 2000.02a
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    • pp.177-179
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    • 2000
  • In this paper, we analyzed quench characteristics of field windings using 2 dimensional analysis. The quench origin was assumed to take place at the inner most point in the mid-plane of the coil. The temperature distribution was numerically calculated on the coil cross section using FDM analysis, and was used to estimate the normal zone resistance of the coil. Finally, we obtained voltage current characteristics of the quenched winding coils.

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Field Analysis of Periodically Slotted Waveguide Structures Excited by an Aperiodic Source (주기적으로 slot가 있는 도파관 복사계의 전자계해석)

  • Kim, Young-Cho
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.23 no.2
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    • pp.131-148
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    • 1986
  • A field ploblem of a grounded dielectric slab covered by a conducting plane with periodecally spaced arbitrary number of slots excited by an aperiodis source is analyzed. The problem is formulated in terms of simultaneous integral equations for unknown electric fields at each slot. A sampling technique is introduced to reduce the system equations to a matrix equation equation involving Green's function matrix. The solution obtained in the form of infinite series is transformed, into a more rapidly convergent one in its final stage. Theoretical results agree closesly with the experimental results.

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Modelling of magneto-thermoelastic plane waves at the interface of two prestressed solid half-spaces without energy dissipation

  • Kakar, Rajneesh;Kakar, Shikha
    • Earthquakes and Structures
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    • v.8 no.6
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    • pp.1299-1323
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    • 2015
  • A model for reflection and refraction of magneto-thermoelastic SV-waves at the interface of two transversely isotropic and homogeneous solid half spaces under initial stress by applying classical dynamical theory of thermoelasticity is purposed. The reflection and refraction coefficients of SV-waves are obtained with ideal boundary conditions for SV-wave incident on the solid-solid interface. The effects of magnetic field, temperature and initial stress on the amplitude ratios after numerical computations are shown graphically with MATLAB software for the particular model.

Full-color Non-hogel-based Computer-generated Hologram from Light Field without Color Aberration

  • Min, Dabin;Min, Kyosik;Park, Jae-Hyeung
    • Current Optics and Photonics
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    • v.5 no.4
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    • pp.409-420
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    • 2021
  • We propose a method to synthesize a color non-hogel-based computer-generated-hologram (CGH) from light field data of a three-dimensional scene with a hologram pixel pitch shared for all color channels. The non-hogel-based CGH technique generates a continuous wavefront with arbitrary carrier wave from given light field data by interpreting the ray angle in the light field to the spatial frequency of the plane wavefront. The relation between ray angle and spatial frequency is, however, dependent on the wavelength, which leads to different spatial frequency sampling grid in the light field data, resulting in color aberrations in the hologram reconstruction. The proposed method sets a hologram pixel pitch common to all color channels such that the smallest blue diffraction angle covers the field of view of the light field. Then a spatial frequency sampling grid common to all color channels is established by interpolating the light field with the spatial frequency range of the blue wavelength and the sampling interval of the red wavelength. The common hologram pixel pitch and light field spatial frequency sampling grid ensure the synthesis of a color hologram without any color aberrations in the hologram reconstructions, or any loss of information contained in the light field. The proposed method is successfully verified using color light field data of various test or natural 3D scenes.

A Study on the Turbulent Characteristics of Rushton Turbine Mixer by Simultaneous Measurement of Velocity and Concentration field with Stereo-PIV/PLIF Technique (Stereo-PIV/LIF의 속도장과 농도장 동시측정 기법을 이용한 러쉬톤 교반기내 난류특성에 관한 연구)

  • Min, Young-Uk;Kim, Yun-Gi;Kim, Kyung-Chun
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.3
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    • pp.365-370
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    • 2004
  • Simultaneous measurement with PLIF(Planar Laser-Induced Fluorescence) and Stereo-PIV(Stereo Particle Image Velocimetry) was performed to investigate the structural characteristics of flow field in Rushton Turbine Mixer. Instantaneous 3D velocity fields are measured by two 2K${\times}$2K CCD cameras focused on an object plane with the angular displacement methods while the concentration fields are obtained through the measurement of the fluorescence intensity of Rhodamine B tracer excited by the second pulse of Nd:Yag laser light. Image distortion due to the camera view-angle is compensated by a mapping function. Finally, the spatial structures of turbulent flow around Rushton turbine were identified by the calculation of synchronized data of the velocity field and concentration field.

Microwave Incoherent Imaging of a Conducting Cylinder by Using Multi-Frequency Time-Harmonic Field : Part I - Incoherent Intensity Pattern by Using Multi-Frequency Time-Harmonic Field (다중주파수 시간좌화신호를 사용한 도체기중의 초고주파 incoherent 영상:Part I - 다중주파수 시간좌화신호를 사용한 incoherent 전력패턴)

  • 강진섭;라정웅
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.2
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    • pp.47-55
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    • 1996
  • A microwave incoherent imaging method for a conducting cyliner by using multi-frequency tiem-harmonic field is presented in this study. In this paper, an incoherent intensity pattern of th econducting cylinder is obtained by averagin gout the multi-frequency intensities of the coherent field such as the time-harmonic field scattered from this cylinder. This phenomenon is hsown numerically in scattering by a conducting circular cylinder illuminated by the time-harmonic plane wave, and is interpreted analytically by the mutual coherence functon defined as a frequency-averaged intensity of the time-harmonic fields in th frequency domain.

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