• Title/Summary/Keyword: 1차원 파동방정식

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Design of double-clad, dispersion-compensating single-mode fiber with parabolic-index profile for $\lambda$=1.55 $\mu$m ($\lambda$=1.55 $\mu$m에서 포물선분포-이중클래드, 분산보상 단일모드 광섬유의 설계)

  • 김동각;김창민;이상배;강희전
    • Korean Journal of Optics and Photonics
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    • v.8 no.2
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    • pp.134-141
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    • 1997
  • We design the single mode dispersion-compensating fibers (DCF) which may be necessary for upgrading the previously installed 1.31 ${\mu}{\textrm}{m}$ optical communication system to the 1.55 ${\mu}{\textrm}{m}$ system. To obtain the optimum index profile that allows large negative dispersion at 1.55 ${\mu}{\textrm}{m}$, parabolic-index, double-clad fibers are analyzed by applying the 1-D FEM to the scalar wave equation of optical fibers. In constideration of macro-bending loss, the fibers are designed so that the cutoff wavelength of the $LP_{01}$ mode is greateer than 1.80 ${\mu}{\textrm}{m}$. The computer simulations show that the lower bound of the dispersion at 1.55 ${\mu}{\textrm}{m}$ is limited to about -120 ps/nm . km for the fiber index profiles satisfying the $LP_{01}$'s cutoff condition.

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Generalized Frequency-wavenumber Migration Implemented by the Intrinsic Attenuation Effect (비탄성 매질의 진폭 감쇠 효과를 첨가한 일반화된 주파수-파수 구조보정)

  • Baag Chang-Eob;Shim Jae-Heon
    • The Korean Journal of Petroleum Geology
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    • v.1 no.1 s.1
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    • pp.47-52
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    • 1993
  • A method and results of computations are presented for the 2-D seismic migration process in the frequency-wavenumber domain for the laterally and vertically inhomogeneous medium. In order to take the intrinsic attenuation effect into account in the migration process the complex-valued wave velocity is used in the wavefield extrapolation operator, improving the generalized frequency-wavenumber migration technique. The imaginary part of the complex-valued wave velocity includes the seismic quality factor Q value. In derivation of the solution of the wave equation for the medium of inhomogeneous wave velocity and anelasticity, the inhomogeneous medium is mathematically converted to an equivalent system which consists of a homogeneous medium of averaged slowness and an inhomogeneous distribution of hypothetical wave source. The strength of the hypothetical wave source depends on the deviation of squared slowness from the averaged value of the medium. Results of numerical computation using the technique show more distinct geologic images than those using the convensional generalized frequency-wavenumber migration. Especially, the obscured images due to the wave attenuation by anelasticity are restored to show sharp boundaries of structures. The method will be useful in the imaging of the reflection data obtained in the regions of possible petroleum or natural gas reservoir and of fractured zone.

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The interface effects on polarization dependence of waveguide and the design of polarization independent 2 dimensional waveguide on InP for arrayed waveguide grating (도파로의 편광 의존성에 경계면이 미치는 효과와 편광 독립적인 InP형 배열 도파로 회절 격자 소자를 위한 2차원 광 도파로의 설계)

  • 김동철;최정훈;유건호;김형문;주흥로;김홍만
    • Korean Journal of Optics and Photonics
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    • v.9 no.5
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    • pp.307-314
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    • 1998
  • We have studied the effects of interface on polarization dependence of waveguide and designed the polarization independent 2-dimensional waveguides on InP for arrayed waveguide grating. To figure out the effects of interface on polarization dependence, we have solved the 1-dimensional wave equation using a transfer matrix method. It is shown that the birefringence becomes stronger as the number of interfaces increases. In order to design polarization independent 2-dimensional waveguides, we have used effective index method. The structures considered are ridge type, raised strip type, and buried type waveguide. In the cases of ridge and raised strip type, conventional effective index method was used. In the case of buried type corrected effective index method was used. We have determined the height and width of waveguides such that the waveguides become polarization independent.

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Evaluation of Nozzle's Combustion Instability Suppression Effect by Linearized Euler Equation (선형 오일러 방정식을 이용한 노즐의 연소불안정 감쇠 효과 평가)

  • Kim, Junseong;Moon, Heejang
    • Journal of the Korean Society of Propulsion Engineers
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    • v.23 no.6
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    • pp.1-10
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    • 2019
  • The wave motion inside the nozzle is known as one of the major damping elements of the rocket's combustion instability by it's aeroacoustic effects that result from the flow passage through the nozzle throat. These effects can be quantitatively evaluated by the nozzle admittance. In this study, one-dimensional linearized Euler equation was adopted to calculate the nozzle admittance, and trend analysis was performed depending on the nozzle's main design variables. As a result, when nozzle converging part shortens, it is verified that the frequency dependency of the nozzle admittance is decreased due to the widened frequency range with lowered longitudinal nozzle admittance. Also, admittance estimation using the short nozzle theory is not appropriate when the first tangential mode of the pressure perturbation arises.

Resonant Mode Analysis of Microwave Film Bulk Acoustic Wave Resonator using 3D Finite Element Method (3차원 유한 요소법을 이용한 초고주파 압전 박막 공진기의 공진 모드해석)

  • 정재호;송영민;이용현;이정희;고광식;최현철
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.12 no.1
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    • pp.18-26
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    • 2001
  • In this paper, the resonant characteristics and modes of the film bulk acoustic wave resonator (FBAR) used in 1~2 GHz frequency region are analyzed by it's input impedance which was calculated by three dimensional finite element method formulated as eigenvalue problem using electro-mechanical wave equation and boundary condition. It was extracted that the resonant and the spurious characteristics considering the effects of electrode area and shape variation and unsymmetry of upper and lower electrode. Those effects couldn't be analyzed by on dimensional analysis, e.g. Mason equivalent model. The simulation result was confirmed by comparing with the simulation data from Mason model analysis and the measured data of the ZnO FBAR fabricated using micro-machining technique. Also, through the simulation of the area variations of FBAR, it was obtained that the optimum ratio of length and thickness is 20:1 and the minimum ratio is 5:1 to operate thickness vibration mode.

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The Study on the Wave Pressure of the Tsunami Acting on the Permeable Structure (투과성구조물에 작용하는 지진해일파압에 관한 연구)

  • Lee, Kwang-Ho;Choi, Hyun-Seok;Kim, Chang-Hoon;Kim, Do-Sam;Cho, Sung
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.23 no.1
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    • pp.79-92
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    • 2011
  • In this study, wave pressure of short-period gravity waves and tsunami acting on the upright section of the horizontal-slit type caisson placed on the impermeable or permeable seabed, which is a well-known permeable breakwater with a good wave controlling ability, are investigated via numerical simulations. Further, the permeable seabed was modeled as the porous media with porosity of 0.4. Using the numerical results, the effects of the seabed conditions on the wave pressure on the front wall and inside wall of the chamber have been studied. In the numerical simulations, short-period gravity waves and tsunami(solitary wave or bore) with the same amplitude to the gravity wave are considered. A numerical wave tank is used, which is able to consider a gas-liquid two-phase flow in the same calculation zone. Numerical results show that the wave pressure of the tsunami was 3~5 times higher than the short-period gravity waves acting on the front wall and it was 2~4 times higher than the short-period gravity waves acting on the inner wall.

Fracture Mechanism and Characterization of Falling Weight Impact in CF/Epoxy Composite Plates Under Law-Velocity Impact (저속충격 하에서 CFRP 복합적층판의 낙추 충격특성과 파괴기구)

  • 임광희;박노식;김영남;김선규;심재기;양인영
    • Composites Research
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    • v.17 no.4
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    • pp.53-60
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    • 2004
  • This paper describes a method for a falling weight impact test to estimate the impact energy absorbing characteristics and impact strength of CFRP laminate plates based on considerations of stress wave propagation theory. The absorbed energy of T300 orthotropic composites is higher than that of quasi-isotropic specimen over impact energy 6.8J, but in case of using T700 fiber, much difference does not show. Also, absorbed energy of T300 orthotropic composites, which are composed of the same stacking number and orientation became more than that of T700 fiber specimen; however there was no big difference in case of quasi-isotropic specimens. The delamination areas of the impacted specimen were measured with the ultrasonic C-scanner to find correlation between impact energy and delamination area. The fracture surfaces were observed by using the SEM (scanning electron microscope) through a low-velocity impact test in order to confirm the fracture mechanism.

Weighted-averaging Finite-element Method for Scalar Wave Equation in the Frequency Domain (가중평균 유한요소법을 이용한 주파수영역에서의 인공 음향파 합성)

  • Hyun Hye-Ja;Suh Jung-Hee;Min Dong-Joo
    • Geophysics and Geophysical Exploration
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    • v.5 no.3
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    • pp.169-177
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    • 2002
  • We develop the weighted-averaging finite-element method which uses four kinds of element sets. By constructing global stiffness and mass matrices for four kinds of element sets and then averaging them with weighting coefficients, we obtain a new global stiffness and mass matrix. With the optimal weighting coefficients minimizing grid dispersion and grid anisotropy, we can reduce the number of grid points required per wavelength to 4 for a $1\%$ upper limit of error. We confirm the accuracy of our weighted-averaging finite-element method through accuracy analyses for a homogeneous and a horizontal-layer model. By synthetic data example, we reconfirm that our method is more efficient for simulating a geological model than previous finite-element methods.

EDISON 양자화학 솔버를 이용하여 2-C3H5Br의 ZEKE/MATI 스펙트럼 이해하기

  • Park, Jeong-Bin;Hwang, Ji-Ye
    • Proceeding of EDISON Challenge
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    • 2016.03a
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    • pp.15-22
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    • 2016
  • 분자의 진동(특히, 뒤틀림 운동)은 분자의 반응성과 동역학적 특성을 결정하는 중요한 요인이다. 특히, 분자내 메틸기의 뒤틀림 운동은 매우 흔히 관찰되지만, 이 운동을 분광학 실험으로 관찰하고 이론적으로 설명하는 것은 여전히 어려운 과제이다. 여러 양자화학 소프트웨어가 상용화되어 있지만, 뒤틀림 운동과 같은 주기적인 퍼텐셜 에너지를 갖는 운동을 기술하기 위해서는 뒤틀림 운동을 위한 양자화학 솔버가 필요하다. 따라서, 우리는 EDISON의 양자화학 솔버(1차원 슈레딩거 방정식(LagChem), 작은 유기 분자의 분광스펙트럼 분석을 위한 양자 소프트웨어(SGU-QASSO))들을 이용하여 $2-C_3H_5Br$의 ZEKE/MATI (J.Chem.Phys.119,12351(2003),Zero kinetic energy/mass-analyzed threshold ionization)스펙트럼을 이해하고 해석해보았다. $2-C_3H_5Br$ 분자는 메틸기의 강한 뒤틀림 운동을 관찰 할 수 있는 비교적 간단한 분자이기 때문에 뒤틀림 운동 분석을 위한 실험대상으로 적절하다(J.Chem.Phys.119,12352(2003)). $2-C_3H_5Br$ 분자의ZEKE/MATI스펙트럼의 결과는 EDISON양자화학 솔버를 통해 성공적으로 재현되었다. 각 진동 전이의 진동수와 세기는 실험 결과와 일치했으며, 진동 상태에 따른 파동 함수도 구할수 있었다. 이를 바탕으로 thietane 분자와 같은 고리분자의 ring-puckering운동에 대해 이해하려 한다.

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Finite Element Analysis for Circulation Phenomena in Sudden Expansion of Open Channel (유한요소법을 이용한 개수로단면급확대부의 순환현상해석)

  • 윤태훈;서승원
    • Water for future
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    • v.21 no.1
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    • pp.67-76
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    • 1988
  • Analyzed was the circulation phenomena in the open channel with sudden expansion, by applying the Galerkin's finite element method to the depth-averaged 2-dimensional continuity and momentum equations. Wave tests were done in the simplified channel in order to review the validity of this newly developed model and the computed results were within 0.5% of $L_2$-norm error, and application of this model to the simulation of simplified dam-break gave very close results compared with the analytical solution, thus, it can be concluded that this model is valid and efficient. The main flow in the expanded channel was defined as a new initial condition with given velocity and the flow in the expanded portion was at rest in simulating the circulation, and besides the Neumann's condition the slip boundary condition for lateral wall was found to be proper condition than the no-slip condition. It can be concluded, from the numerical tests in the sudden expension, that the circulating phenomena depend mainly on the convective inertia and the effect of turbulence due to bottom shear and lateral shear is insignificant.

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