• Title/Summary/Keyword: 맥스웰

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Maxwell Stress Tensor I. It's Meaning and Inherent Limits (맥스웰 응력텐서 I. 그 의미와 한계에 대하여)

  • Choi, Hong-Soon;Park, Il-Han;Moon, Won-Kyu
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.610-611
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    • 2008
  • 맥스웰 응력텐서는 전기기기의 전자기력을 해석함에 현재 가장 널리 사용되는 방법 중 하나이다. 본 논문에서는, 맥스웰 응력텐서 자체는 물리적인 의미가 없는 가상적인 응력텐서이며, 고체역학 또는 동역학적인 해석을 위해 이를 물리적인 기계력으로 취하면 안 된다는 것을 보이고자 한다. 물리적 의미를 부여할 수 있는 것은 응력텐서의 발산인 ${\nabla}{\cdot}T$ 이며 이는 전자기 체적력을 의미하고, 중력과 같은 원격 힘이다. 맥스웰 응력텐서의 유도과정을 에너지적인 접근에서 관찰하여 그 과정으로부터 본 결론을 유도 할 수 있음을 보인다. 본 논문은 두 개로 구성되는 데, 본 논문인 I에는 유효성의 한계에 대한 논의, 별도의 연작논문인 II에서는 대안으로서 가상공극을 사용한 체적력 계산법을 제시한다.

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Maxwell Stress Tensor II. It's Divergence Calculation based on Virtual Air-gap Scheme (맥스웰 응력텐서 II. 대안 : 가상공극법에 의한 응력텐서의 발산값 구하기)

  • Choi, Hong-Soon;Park, Il-Han;Lee, Se-Hee
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.612-613
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    • 2008
  • 맥스웰 응력텐서T와 맥스웰 응력 n.T는 물리적인 의미가 없는 가상적인 양이라는 것을 논문 I에서 논하였다. 본 논문 II 에서는 물리적 실체를 가지는 맥스웰 응력텐서의 발산양인 ${\nabla}{\cdot}T$의 계산을 위하여 가상공극을 도입하고, 그 것의 계산법에 대하여 제시한다. 가상공극법은 기존의 여러 전자기력 계산법의 상위개념으로 적용할 수 있는 접근법으로서 매체간에 접촉시에 전자기력 계산을 위하여 개발이 된 것이다. 이 방법을 각 유한요소에 적용함으로서 체적력밀도를 구할 수 있음을 보인다.

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Electromagnetic Force Calculation Using Magnetic Vector Potentials in 3-D Problems (자기벡터포텐셜을 이용한 3차원 전자력 계산)

  • 양재진;이복용;이기식
    • Journal of the Korean Magnetics Society
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    • v.6 no.2
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    • pp.106-111
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    • 1996
  • Electric machines such as motors which have rmving parts are designed for producing mechanical force or torque. The accurate calculations of electromagnetic force and torque are important in the design these machines. Electromagnetic force calculation method using the results of Finite Element Method(FEM) has been presented variously in 2-D problems. Typically the Maxwell's Stress Tensor method and the method of virtual work are used. The former calculates forces by integrating the surface force densities which can be expressed in terms of Maxwell Stress Tensor(MST), and the latter by differentiating the electromagnetic energy with respect to the virtual dis¬placement of rigid bodies of interest. In the problems including current source, magnetic vector potentials(MVP) have rmstly been used as unknown variables for field analysis by a numerical method; e. g. FEM. This paper, thus, introduces the two both methods using MVP in 3-D case. To verify the usefulness of presented methods, a solenoid model is chosen and analyzed by 3-D and axisymmetric FEM. It is found that the force calculation results are in good agreement for several mesh schemes.

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Analysis of a Dipole Antenna Using Maxwell-SCHRÖDINGER Equation (맥스웰-슈뢰딩거 방정식을 이용한 다이폴 안테나 해석)

  • Kim, Jinyoung;Jung, Jaeyoung;Jung, Youngbae;Jung, Changwon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.5
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    • pp.3107-3113
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    • 2014
  • We present a quantitative analysis of a dipole antenna and its characteristics from the viewpoint of quantum mechanics. The method makes use of a Maxwell equation used in an existing antenna propagation formula. This includes radiation resistance, input reactance, and antenna efficiency as functions of frequency and antenna length. Particular attention is paid to the Schr$\ddot{o}$odinger equation. We accomplish E-field and H-field analyses of a dipole antenna by combining the Maxwell and Schr$\ddot{o}$odinger wave equations. When comparing the existing Maxwell wave equation with the Schr$\ddot{o}$odinger wave equation, quantum-electric movement is more accurate than using the Maxwell wave equation alone.

Nanometer-scale Imaging in Thin Films by Scanning Maxwell-stress Microscopy (주사형 맥스웰 응력 현미경을 이용한 박막의 Nanometer-scale 이미지)

  • 신훈규;유승엽;권영수
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1998.11a
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    • pp.133-136
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    • 1998
  • The scanning Maxwell-stress microscopy (SMM) is a dynamic noncontact electric force microscopy that allows simultaneous access to the electrical properties of molecular system such as surface potential, surface charge, dielectric constant and conductivity along with the topography. Here we report our recent results of its application to nanoscopic study of domain structures and electrical functionality in organic thin films prepared by the Langmuir-Blodgett technique.

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Analysis of Static Crack Growth in Asphalt Concrete using the Extended Finite Element Method (확장유한요소법을 이용한 아스팔트의 정적균열 성장 분석)

  • Zi, Goangseup;Yu, Sungmun;Thanh, Chau-Dinh;Mun, Sungho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.4D
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    • pp.387-393
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    • 2010
  • This paper studies static crack growth of asphalt pavement using the extended finite element method (XFEM). To consider nonlinear characteristics of asphalt concrete, a viscoelastic constitutive equation using the Maxwell chain is used. And a linear cohesive crack model is used to regularize the crack. Instead of constructing the viscoelastic constitutive law from the Prony approximation of compliance and retardation time measured experimentally, we use a smooth log-power function which optimally fits experimental data and is infinitely differentiable. The partial moduli of the Maxwell chain from the log-power function make analysis easy because they change more smoothly in a more stable way than the ordinary method such as the least square method. Using the developed method, we can simulates the static crack growth test results satisfactorily.

The analysis of electron energy distribution function using the approximated collision cross section in the low-pressure mercury discharge (저압 수은 방전에서의 근사화한 충돌 단면적을 사용한 전자 에너지 분포함수 해석)

  • 류명선;이진우;지철근
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.3 no.4
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    • pp.49-56
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    • 1989
  • 약 이온화되어 있는 기체 방전에서 전자 에너지 분포함수는 계산상 어려움으로 인하여 맥스웰 분포를 가정하나 이러한 가정은 실제 방전내의 전자 에너지 분포함수와 차이를 보이게 된다. 본 논문에서는 저압 수은 방전에 대하여 전자온도, 관벽온도, 전자밀도, 포화증기압밀도를 변수로 사용하여 볼쯔만식을 해석하였다. 구성된 방정식으로부터 정상상태를 가정하여 구한 전자 에너지 분포함수는 보통 적용하는 맥스웰 분포와 꼬리부분에서는 많은 차이를 보였다. 특히 충돌 단면적을 에너지의 함수로 근사하여 식을 간략화함으로써 분포함수를 간편하게 구할 수 있으며 광범위하게 적용할 수 있는 방법을 제안하였다. 또한 명확한 이론에 근거한 해석적 모델을 제시하여 분포함수의 해석을 용이하게 하고 계산과정을 간편하게 하였다.

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The Calculation of Two Dimensional Spatial Profile of Electromagnetic Field for Capacitively Coupled Plasma Source (축전 결합형 플라즈마원에 대한 전자기장의 2차원 공간 의존성 계산)

  • Kim, Y.I.;Yoon, N.S.
    • Journal of the Korean Vacuum Society
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    • v.17 no.5
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    • pp.400-407
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    • 2008
  • In this study, Two dimensional spatial profile of electromagnetic field for capacitively coupled plasma source is calculated. Based on one dimensional fluid equation, spatial profile for the axial direction of electric field and conduction current density is firstly calculated. The two dimensional spatial profile for the electromagnetic field is calculated from solution of Maxwell equation that is expanded to power series for ${\omega}r/c$ into the radial direction.

Subcell Maxwell-Boltzmann FDTD Method for Analyzing Thin Plasma Layer (얇은 플라즈마 층의 전자기 해석을 위한 Subcell 맥스웰-볼츠만 유한 차분 시간 영역 기법)

  • Jung, Inkyun;Kim, Yuna;Hong, Yongjun;Yook, Jong-Gwan
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.26 no.3
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    • pp.326-332
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    • 2015
  • Analyzing electromagnetic properties in plasma medium, it is difficult to numerically solve electromagnetic problem with thin plasma. In this paper, subcell Maxwell-Boltzmann FDTD method was proposed which is combined with Maxwell-Boltzmann FDTD and subcell FDTD method for analyzing plasma and electrically thin materials, respectively. Calculations of reflection coefficient and absorption rate error were performed by using 1D FDTD method. Reflection coefficient computed by applying the proposed method is in agreement with analytic solution. Absorption rate error analyzed by employing the proposed method is 1/10 times less than one by using conventional method.