• Title/Summary/Keyword: Green's function method

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Equivalent Image Method for the Analysis of Electrostatic Problems

  • Kim, Eui-Joong;Lee, Young-Soon;Kim, Kun-Woo;Cho, Young-Ki
    • Journal of electromagnetic engineering and science
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    • v.3 no.1
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    • pp.72-76
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    • 2003
  • For the purpose of numerically efficient analysis for electrostatic problems, an improved equivalent image method, by which infinite exact image of a point charge in parallel-plate and rectangular conducting structures can be replaced by only a few equivalent images, is considered. Through this study, it is observed that the error is of the order of 0.001 % when the present method is used to evaluate electric potential for a point charge in parallel-plate and rectangular conducting planes.

Precise Numerical Simulation of Microwave Scattering from Natural Deciduous Leaves Using the Method of Moment

  • Oh Yisok;Hong Jin-Young
    • Proceedings of the KSRS Conference
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    • 2004.10a
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    • pp.586-589
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    • 2004
  • A numerical algorithm using the Method of Moments (MoM) is introduced to compute precisely the scattering matrices of very thin deciduous leaves in this paper. At first, a dyadic Green's function was formulated and an integral equation for a volumetric current distribution in a lossy dielectric body. Then, the MoM was applied to the scattering problem with a specific technique to handle the numerical poles. The accuracy of the numerical technique was verified by examining the technique with various ways, and used to examine the validity regions of the classical analytical models.

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LIGHT-CONE EFFECT OF RADIATION FIELDS IN COSMOLOGICAL RADIATIVE TRANSFER SIMULATIONS

  • Ahn, Kyungjin
    • Journal of The Korean Astronomical Society
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    • v.48 no.1
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    • pp.67-73
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    • 2015
  • We present a novel method to implement time-delayed propagation of radiation fields in cosmological radiative transfer simulations. Time-delayed propagation of radiation fields requires construction of retarded-time fields by tracking the location and lifetime of radiation sources along the corresponding light-cones. Cosmological radiative transfer simulations have, until now, ignored this "light-cone effect" or implemented ray-tracing methods that are computationally demanding. We show that radiative transfer calculation of the time-delayed fields can be easily achieved in numerical simulations when periodic boundary conditions are used, by calculating the time-discretized retarded-time Green's function using the Fast Fourier Transform (FFT) method and convolving it with the source distribution. We also present a direct application of this method to the long-range radiation field of Lyman-Werner band photons, which is important in the high-redshift astrophysics with first stars.

Analysis of Rectangular Waveguide E-Plane Filters by the Method of Moments (구형 도파관내 전계면 필터의 모멘트법에 의한 해석)

  • 방재훈;윤소현;이석곤;안병철
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.3
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    • pp.358-364
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    • 2000
  • In this paper, an efficient moment-method technique is proposed for analyzing rectangular waveguide E-plane filters. Techniques are presented for the fast evaluation of Green's function and for the efficient evaluation of integrals arising in the E-plane of the rectangular waveguide. The structure boundary is represented by the piecewise linear segments. Simple pulse-expansion and point-matching technique are used. The entire E-plane filter structure is simulated by the method of moments. Three representative cases of the E-plane filter are analyzed and compared with results by other researchers.

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Study of Acoustic Holography using Equivalent Source Method with Continuation of Acoustic Near-field (근접음장 연속법과 등가 음원법을 이용한 음향홀로그래피 연구)

  • Kim, Sung-Hoon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2011.10a
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    • pp.643-648
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    • 2011
  • This paper deals with the ESM(equivalent source method) with the continuation of acoustic near-field for NAH(near-field acoustic holography) to overcome the finite measurement aperture effect and reconstruct the normal velocity on an arbitrarily shaped structure surface. The continuation method is an extension of the measured sound field into a region outside and is based on the Green's function relating acoustic quantities on the two conformal surfaces. This algorithm is not limited to planar surfaces and can be applied to arbitrarily shaped surfaces. The ESM is an alternative approach of BEM-based NAH for the reconstruction on a general structure. In ESM the acoustic field is represented by a set of point sources located over a surface that is close to the structure surface. The simulation results of this study shows that the reconstruction error of particle velocity on the source surface is 11% and 16% for planar and cylindrical sources separately.

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On the Static Limit of Helmholtz Equation for the Wave Scattering in a Waveguide (도파관내의 파동산란 해석에 있어서 Helmholtz방정식의 정적 한계에 관한 연구)

  • Jung, Hyun-Kyo;Park, Kyung;Hahn, Song-Yop
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.41 no.1
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    • pp.89-94
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    • 1992
  • In this paper, the static limit of Helmholtz equation is discussed for the analysis of wave scattering in a wave scattering in a waveguide. Boundary integral equation method is used to formulato the scattering process in the exterior of the scatterer and finite element method in the interior of the scatterer. And hybrid ray-mode method is used to provide the Green's function in the waveguide. The proposed algorithm is applied algarithm is applied to a sample problem with arbitrary scatterer in a waveguide. The results are compared with those of static analysis.

An Application of the Localized Finite Element Method to Two-dimensional Free Surface Wave Problems (2차원 자유표면파 문제에서의 국소 유한요소법의 응용)

  • Hyun-Kwon,Kil;K.J.,Bai
    • Bulletin of the Society of Naval Architects of Korea
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    • v.22 no.3
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    • pp.9-18
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    • 1985
  • The numerical calculation for solving boundary-value problem related to potential flows with a free surface is carried out by application of the localized finite element method. Only forced motion of 2-D body in infinitely deep fluid is considered, although this schemes is equally applicable to any first order time-harmonic problems of similar nature. The infinite domain of the fluid is separated into the inner flow field and the outer flow field with common inter-surface boundary. The finite element method is applied to obtain the solution in the inner flow field and the Green functions are utilized to represent the solution in the outer flow field. At the inter-surface boundary, the continuity of the value of potential and the normal derivative of the potential(i.e. matching condition) is conserved. The present method has better computational efficiency than the previous LFEM and the integral equation method of Frank. This enhanced computational efficiency is presumably due to the fact that the present method gives a symmetric coefficient matrix and requires less computational time in calculating the influence coefficient matrix of Green function than the integral equation method. And the irregular frequency desen't exist because the uniqueness of the solution is assured by the such that the exact free surface condition is satisfied on the boundary of the localized finite element region(i.e. inner region). As an example of the above method, the hydrodynamic forces for the circular cylinder and the rectangular cylinders are calculated. In the computed results, the small number of singularity distribution segments($3{\sim}6$) give good result relative to Ursell's and Vugts'.

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Numerical Calculations of the Wave Resistance of Ships by Neumann-Kelvin Theory (Neumann-Kelvin 이론에 의한 조파 저항의 수치 계산)

  • M.W.,Eo;B.R.,Son;S.H.,Kang
    • Bulletin of the Society of Naval Architects of Korea
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    • v.24 no.2
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    • pp.1-10
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    • 1987
  • The wave resistance of ships is calculated with the numerical solution of the Newmann-Kelvin problem. For the sake of the numerical evaluation of the Green function, Shen and Farell's method is used[7]. In particular, the contribution of the line integral term in the Neumann-Kelvin problem to the calculated values of the wave resistance is shown. For the Wigley's hull the calculated values of the wave resistance and the wave profiles at the hull surface are in fairly good agreement with the experimental data. However, for the series 60 hull and the practical hull, a 454,000 cubic feet reefer vessel, the calculated results of the wave resistance show definte hollows and humps considering the experimental result.

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Surface wave Tomography of the Korean Peninsula by Noise Cross-correlation Method (잡음 상호상관 기법을 이용한 한반도의 표면파 토모그래피에 대한 연구)

  • Cho, Kwang-Hyun;Kang, Ik-Bum
    • 한국방재학회:학술대회논문집
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    • 2007.02a
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    • pp.133-136
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    • 2007
  • Cross correlation of seismic-background motions (Campillo and Paul, 2003; Shapiro et al., 2005) is applied to observations from the Korean Meteorological Administration seismic network to estimate the short-period Rayleigh and Love wave dispersion characteristics of the region. Standard processing procedures are applied to the cross correlation, except that signal whitening is used in place of one-bit sampling to equalize power in signals from different times. Multiple-filter analysis is used to extract the group velocities from the estimated Green's functions, which are then used to image the spatially varying dispersion at periods between 0.5 and 20 sec. The tomographic inversion technique used inverts all periods simultaneously to provide a smooth dispersion curve as a function of period in addition to the usual smooth spatial image for a given period. The Gyeongsang Basin in the southeastern part of the peninsula is clearly resolved with lower group velocities.

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IMAGING THE UPPER CRUST OF THE KOREAN PENINSULA BY SURFACE WAVE TOMOGRAPHY (표면파 토모그래피를 이용한 한반도 상부지각의 이미지)

  • Cho, Kwang-Hyun;Herrmann, Robert B.;Lee, Kie-Hwa
    • 한국지구물리탐사학회:학술대회논문집
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    • 2006.06a
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    • pp.41-50
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    • 2006
  • The crustal structure of Korean Peninsula have been investigated by analyzing group velocity dispersion data of surface wave. Cross.correlation of seismic background motions (Campillo and Paul, 2003; Shapiro et al., 2005) has been applied to estimate the short.period Rayleigh. and Love.wave group velocity dispersion characteristics of the region. Standard processing procedures were applied to the cross.correlation, except that signal whitening was used in place of one.bit sampling equalize power in signals from different times. Multiple.filter analysis was used to extract the group velocities from the estimate Green's functions, which were then use to image the spatially varying dispersion at periods between 0.5 and 20 seconds. The tomographic inversion technique used inverted all periods simultaneously to provide a smooth dispersion curve as a function of period in addition to the usual smooth spatial image for a given period. The Gyeongsang Basin in the southeastern part of the peninsula is clearly resolved with lower group velocities.

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