• Title/Summary/Keyword: 시간영역 유한차분

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A Dispersion Analysis for Minimum Grids in the Frequency Domain Acoustic Wave Equation (주파수영역 음향 파동방정식에서 최소 격자수 결정을 위한 격자분산 분석)

  • Jang Seong-Hyung;Shin Chang-Soo;Yoon Kwang-Jin;Suh Sang-Young;Shin Sung-Ryul
    • Geophysics and Geophysical Exploration
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    • v.3 no.2
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    • pp.39-47
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    • 2000
  • A great deal of computing time and a large computer memory are needed to solve wave equation in a large complex subsurface layers using the finite difference method. The computing time and memory can be reduced by decreasing the number of grid points per minimum wave length. However, the decrease of grids may cause numerical dispersion and poor accuracy. In this study we performed the grid dispersion analysis for several rotated finite difference operators, which was commonly used to reduce grids per wavelength with accuracy in order to determine the solution for the acoustic wave equation in frequency domain. The rotated finite difference operators were to be extended to 81, 121 and 169 difference stars and studied whether the minimum grids could be reduced to 2 or not. To obtain accuracy (numerical errors less than $1\%$) the following was required: more than 13 grids for conventional 5 point difference stars, 9 grids for 9 difference stars, 3 grids for 25 difference stars, and 2.7 grids for 49 difference stars. After grid dispersion analysis for the new rotated finite difference operators, more than 2.5 grids for 81 difference stars, 2.3 grids for 121 difference stars and 2.1 grids for 169 difference stars were needed. However, in the 169 difference stars, there was no solution because of oscillation of the dispersion curves in the group velocity curves. This indicated that the grids couldn't be reduced to 2 in the frequency acoustic wave equation. According to grid dispersion analysis for the determination of grid points, the more rotated finite difference operators, the fewer grid points. However, the more rotated finite difference operators that are used, the more complex the difference equation terms.

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A Study on the Underwater Channel Model based on a High-Order Finite Difference Method using GPUs (그래픽 프로세서를 이용한 고차 유한 차분식 기반 수중채널모델 연구)

  • Bae, Ho Seuk;Kim, Won-Ki;Son, Su-Uk;Ha, Wansoo
    • Journal of the Korea Society for Simulation
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    • v.30 no.1
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    • pp.11-20
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    • 2021
  • As unmanned underwater systems have recently emerged, a high-speed underwater channel modeling technique, which is one of the most important techniques in the system, has received a lot of attention. In this paper, we proposed a high-speed sound propagation model and verified the applicability through quantitative performance analyses. We used a high-order finite difference method (FDM) for wave propagation modeling in the water, and a domain decomposition method was adopted using multiple general-purpose graphics processing units (GPUs) to increase the calculation efficiency. We compared the results of the model we proposed with the analytic solution in the half-infinite media and results of the Virtual Timeseries Experiment (VirTEX) model, which is based on the ray method. Finally, we analyzed the performance of the model quantitatively using numerical examples. Through quantitative analyses of the improvement in computational performance, we confirmed that the computational speed increases linearly as the number of GPUs increases. The computation times are increased by 2 times and 8 times, respectively, when the domain size of computation and the maximum frequency are doubled. We expect that the proposed high-speed underwater channel modeling technique is able to contribute to the enhancement of national defense as an underwater communication channel model and analysis tool to develop the underwater communication technique for the unmanned underwater system.

An Anisotropic Perfectly Matched Layer(APML) for Mesh Truncation in The Finite Difference Time Domain Method (유한차분시간영역(FDTD)법에 있어 Mesh Truncation을 위한 비등방성 완전정합층에 관한 연구)

  • 박동희;김정기
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.9 no.5
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    • pp.678-686
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    • 1998
  • This paper describes an anisotropic perfectly matched layer (APML) for mesh truncation of the Finite Difference Time Domain(FDTD) method. The APML method can classified by a split type and an unsplit type, in case of the split type be made up 12 equations or 8 equations largely, and in case of the unsplit type be made of 6 equations. Therefore the latter is more simple as compare with the former. For the APML method presented in this paper is the latter, is directly derived from the time domain equations of Maxwell and extend to the three dimensional problem for the method suggested by Chen. Especially, in the edge and corner parts except the planes, the APML method effectively treated as compound with the Chen's method and Gedney's method newly. The results of the numerical method in this paper show the radiation patterns and the time responses of electromagnetic fields of the wire antennas according to wavelengths and the APML results are compared with Mur's first order absorbing boundary condition and Kraus's analytical results. Eventually, Mur's first order condition have many errors at the edge and corner. On the other hand, in comparison with Kraus's analytical results, it is quite good agreement, and the validity of present method is confirmed.

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Finite Difference Time Domain Analysis for Film Bulk Acoustic Wave Resonator used in Microwave Region (시간 영역 유한 차분법(FDTD)을 이용한 마이크로파 대역의 압전 박막 공진기 해석)

  • 송영민;정재호;이용현;이정희;최현철
    • Proceedings of the IEEK Conference
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    • 2000.11a
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    • pp.489-492
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    • 2000
  • Film Bulk Acoustic Wave Resonator(FBAR) used in microwave region was analyzed with Finite Difference Time-Domain Methods(FDTD) in this paper. FBAR have been analyzed with one dimensional Mason model analysis or Finite Element methods(FEM), but the first couldn't analyze effect of area variation and spurious characteristics, the second had difficulty in element separation because of thin electrode. So in this paper FBAR was analyzed by Finite Difference Time-Domain Methods and it's results were transformed to frequency domain using Discrete Fourier Transform.

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A Novel Feed Structure for a Broadband Microstrip Circular Slot Antenna (광대역 마이크로스트립 원형 슬롯 안테나를 위한 새로운 급전 구조)

  • 서영훈;박익모;신철재
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.12 no.6
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    • pp.948-957
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    • 2001
  • We proposed a novel feed structure for a broadband circular slot antenna. The proposed antenna has a circular slot, a radiating element, and a novel microstrip feed structure which is composed of a 50 Ω microstrip feedline and a circular-shaped microstrip patch. This antenna is analyzed and optimized by using the finite difference time domain (FDTD) method. The impedance bandwidth of optimized antenna is 1.94 octave that is much broader than the conventional microstrip slot antennas.

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Implementation of FDTD simulation using OpenMP and MPI for semiconductor process (반도체 공정을 위한 OpenMP와 MPI 기반의 FDTD 시뮬레이션 연산 환경 구축)

  • Lee, seung-il;Lee, cheol-hoon
    • Proceedings of the Korea Contents Association Conference
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    • 2015.05a
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    • pp.59-60
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    • 2015
  • 반도체 공정에서는 소자 내부의 물리량 계산을 통해 결점를 검출하는 시뮬레이션을 수행하게 된다. 이를 위해 3차원적 형상을 표현하여 물리적 미분 방정식을 계산하는 유한 차분 시간 영역 알고리즘(Finite-Difference Time-Domain, 이하 FDTD)과 같은 수치해석 기법이 사용된다. 반도체 테스트 범위의 확장으로 인해 시뮬레이션 사이즈 또한 커지고 있는 추세이다. 이에 따라 하나의 프로세서에서 수행할 수 없는 문제가 발생하기도 한다. 이를 해결하기 위해 본 논문에서는 openMP와 MPI를 이용한 하이브리드 컴퓨팅 기법을 바탕으로 다중 GPU 제어를 통해 시뮬레이션 환경을 구축하였으며 정상 동작함을 확인하였다.

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Optimum Design of EHF CPW using FDTD (시간영역유한차분법을 이용한 극초고주파용 CPW의 최적화 설계)

  • Jang, In-Bum;Lee, Joon-ung
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.18 no.12
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    • pp.1129-1132
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    • 2005
  • The purpose of this reserch is to establish the new design technology for microwave Coplanar structure. The components in microwave circuit are classified to transmission devices, EM devices, and quasi-TEM devices. After design of these devices, we analyzed these CPWs electromagnetically using FDTD method, and suggested optimum CPW structure. In oder to realize a CPW module up to 30 GHz-100 GHz band, we research on a technology of 3-dimensional microwave CPW, and GaAs substrate with Si layer for ohmic loss. As a result this research, we suppressed the leakage, resonance, coupling, and radiation of CPW EMI, and improved resonance quality of CPW.

A Stability Study of Three Open-Ended Coaxial Probe Conversion Models under the Error Situations (오차에 대한 3가지 개방단말 동축선 프로브의 환산모델들간 안정성 연구)

  • 조유선;현승엽;김상욱;김세윤
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2001.11a
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    • pp.300-303
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    • 2001
  • 개방단말 동축선 프로브는 임의의 매질에 접촉하여 복소 유전율을 구하므로 사용이 용이한 측정법이다. 복소 유전율의 측정 과정은 두 단계로 구성된다. 먼저 프로브의 개구면을 미지의 매질에 접촉시켜서 반사계수를 측정한다. 다음에는 반사계수를 환산모델에 대입하여 복소 유전율을 구한다. 그러나 실제 측정시 발생하는 오차들에 대해 취약하다는 단점을 가지고 있다. 정확성을 떨어뜨리는 주요 오차 요인으로는 프로브의 개구면과 측정매질 사이의 공극으로 인한 불완전 접촉오타와 프로브의 제작 한계로 인한 오차를 들 수 있다. 본 논문에서는 이런 오차상황에서 유한 차분 시간영역법으로 반사계수를 계산하고나서 환산모델에 의해 복소 유전율로 환산함으로써 오차에 대한 환산모델들간의 안정성을 살펴보고자 한다.

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Spectral Evaluation of Stirring Performance in a Reverberation Chamber using the FDTD Method (유한요소 시간차분법을 이용한 레버버레이션 챔버내에서의 스터링 효과의 분석)

  • Kim, Jong-Sung
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.48 no.11
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    • pp.83-88
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    • 2011
  • The spectral field data on the observation planes inside a mode stirred chamber have been computed by using the FDTD method. They can describe the directional dependence of all supported modes in the reverberation chamber (RC). Correlation coefficients have been found to evaluate the stirring effects. The correlation coefficients were obtained and compared for three different sizes of stirrers and statistical uniformity was investigated.

A Broadband Eccentric Annular Ring Microstrip Slot Antenna (광대역 특성을 갖는 변형된 원형 링 마이크로스트립 슬롯 안테나)

  • 서영훈;박익모
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.5
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    • pp.773-781
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    • 2000
  • We proposed an eccentric annular ring microstrip slot antenna for improving a narrow bandwidth of the conventional annular ring microstip slot antenna. The proposed antenna has an asymmetric slot and a normal microstrip feedline. This antenna is analyzed and optimized by using the finite difference time domain (FDTD) method. The impedance bandwidth of the optimized antenna is more than 1 octave that is much broader than the conventional annular ring microstrip slot antenna for the same size.

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