• Title/Summary/Keyword: Wave Approximation

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Angular Momentum Effect of Electron Scattering with Reduced Angular Momentum Expansion (축약 각운동량 전개(Reduced Angular Momentum Expansion) 방법으로 해석한 전자 산란의 각 운동량 효과)

  • Kang, J.H.
    • Journal of the Korean Magnetics Society
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    • v.18 no.1
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    • pp.36-38
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    • 2008
  • We calculate the electron scattering amplitude with reduced angular momentum expansion(RAME) and compare it with the plane wave approximation. By using WKB approximation it is shown that the curvature correction factor given by RAME is originated from the source wave centrifugal potential energy. The factor also can be understood as an effective wave number correction factor in plane wave approximation. Angular momentum and its relationship with scattering amplitude is explicitly shown.

Computation of Wave Propagation by Scatter Method Associated with Variational Approximation (변분근사식과 연계된 산란체법에 의한 파랑변형 계산)

  • Seo, Seung-Nam
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.20 no.6
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    • pp.553-563
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    • 2008
  • If an arbitrary topography is approximated to a number of vertical steps, both variational approximation and eigenfunction expansion method can be used to compute linear wave transformation over the bottom. In this study a scatterer method associated with variational approximation is proposed to calculate reflection and transmission coefficients. Present method may be shown to be more simple and direct than the successive-application-matrix method by O'Hare and Davies. And Several numerical examples are given which are in good agreement with existing results.

Full-Wave Calculation of the Complex Input Impedance of Microstrip Line Used for Magnetostatic Surface Wave Transducers (정자표면파 트랜스듀서용 마이크로스트립 선로의 복소 입력 임피던스 Full-Wave 계산)

  • 이재현
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.15 no.4
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    • pp.345-352
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    • 2004
  • The radiation impedance of a magnetostatic surface wave excited in a microstrip line haying ferrite film and its dependence on the width of the microstrip line and the height of the ferrite film are calculated by the full-wave moment analysis. The radiation resistance calculated by the full-wave analysis closely agrees with the measured radiation resistance, while that by the magnetostatic approximation greatly differs from the measured result in the higher-frequency region.

Determination of Wave Run-up Height on S-berm Breakwater (복합사면에서의 도파고 산정)

  • 유동훈;이대석
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.13 no.3
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    • pp.202-208
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    • 2001
  • Explicit approximation has been developed to estimate the run-up height on S-berm breakwater on the basis of Saville's hypothetical slope method. For the explicit expression of run-up height several relations are developed to represent the ratio of run-up height against breakwater slope with various conditions of water depth and wave steepness. For the verification of explicit approximation the results are compared with Saville's measurement data and simple expression of Delft Hydraulic Laboratory.

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Elliptic Numerical Wave Model Using Generalized Conjugate Gradient Method (GCGM을 이용한 타원형 수치 파랑모형)

  • 윤종태
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.10 no.2
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    • pp.93-99
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    • 1998
  • Parabolic approximation and sponge layer are applied as open boundary condition for elliptic finite difference wave model. Generalized conjugate gradient method is used as a solution procedure. Using parabolic approximation a large part of spurious reflection is removed at the spherical shoal experiment and sponge layer boundary condition needs more than 2 wave lengths of sponge layer to give similar results. Simulating the propagation of waves on a rectangular harbor, it is identified that iterative scheme can be applied easily for the non-rectangular computational region.

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3D AE source location considering the anisotropy of elastic wave velocity under triaxial compression

  • Cho Hyuk-Ki;Song Jae-Joon;Lee Chung-In
    • 한국지구물리탐사학회:학술대회논문집
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    • 2003.11a
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    • pp.198-205
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    • 2003
  • We considered the variation of elastic wave velocity due to the anisotropy of rock materials and stress level for acoustic emission (AE) source location in cylindrical rock specimens. Elastic wave velocity and AE were measured for Keochang granite and Yeosan marble under various axial stresses and confining pressures. Partition approximation method was suggested and it was compared with the difference approximation method and the least square method.

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Wave Propagation Models Due to Topographic Change: Scatterer Method and Transfer Matrix Method (지형변화에 의한 파랑전파모형: 산란체법과 변환행렬법)

  • Seo, Seung-Nam
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.22 no.3
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    • pp.163-170
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    • 2010
  • Both scatterer method and transfer matrix method are compared to analyze their characteristics, which are wave propagation models due to topographic change based on plane wave approximation. Results from the scatterer method are closer to the results obtained by the more accurate existing models and it is appraised that the scatterer method gives the clearer explanation about physical process involved in the wave transformation. Since both methods have analytical solutions, in the computational point of view they are very fast and easy to be implemented. Both methods give a good prediction for wave scattering by relatively simple bedform.

Comparison between Variational Approximation and Eigenfunction Expansion Method for Wave Transformation over a Step Bottom (단일계단 지형에서 변분근사법과 고유함수 전개법에 의한 파랑변형 비교)

  • Seo, Seung-Nam
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.21 no.2
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    • pp.91-107
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    • 2009
  • In order to compute linear wave transformation over a single step bottom, both variational approximation and eigenfunction expansion method are used. Both numerical results are in good agreement for reflection and transmission coefficients, surface displacement respectively. However x velocity profiles at the boundary of step are seen to be different to each other even though x velocity matching condition is used.

Higher Order Parabolic Wave Equations (고차 포물형 파랑 근사식)

  • Seo, Seung-Nam;Lee, Dong-Young
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.19 no.3
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    • pp.205-212
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    • 2007
  • Parabolic approximation wave models based on $Pad{\acute{e}}$ approximants are analyzed in order to calculate wave transformation. In this study a $Pad{\acute{e}}(2,2)$ parabolic approximation model is developed to increase the accuracy of computation in comparison with the existing models. Numerical studies on a constant sloping bed show that the new model proves to allow for much more successful treatment of large angles of incidence than is possible using the previously available models.

Experiments for Wave Transformation of Regular and Irregular Waves over a Submerged Elliptic Shoal(I) : Non-breaking Conditions (타원형 수중천퇴상의 규칙파 및 불규칙파의 전파변형 실험(I):비쇄파조건)

  • 이종인;이정욱
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.14 no.3
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    • pp.240-246
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    • 2002
  • Hydraulic model experiments were conducted fur a series of regular and uni-directional irregular waves propagating over a submerged elliptic shoal. Two different sets of experiments have been studied; one considers regular wave transformation with no breaking, and the other considers uni-directional irregular wave with partial breaking on top of the shoal. The numerical experiments are also performed using a numerical model based on the parabolic approximation equation. The result of the numerical experiments are compared with that of hydraulic experiments.