• 제목/요약/키워드: Coupled Mode Theory

검색결과 117건 처리시간 0.028초

Preparation and Oxygen Binding Properties of Ultra-Thin Polymer Films Containing Cobalt(II) meso-Tetraphenylporphyrin via Plasma Polymerization

  • Choe, Youngson
    • Macromolecular Research
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    • 제10권5호
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    • pp.273-277
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    • 2002
  • Ultra-thin polymer films containing cobalt(II) meso-tetraphenylporphyrin(CoTPP) have been prepared by vacuum codeposition of the metal complex and trans-2-butene as an organic monomer using an inductively coupled RF glow discharge operating at 7-9 Watts. The polymer films were characterized by sorption measurements. Sorption data obtained for polymer films containing CoTPP indicate that the CoTPP molecules are capable of reversibly binding oxygen molecules. It was found that the adjacent CoTPP molecules in the aggregated metal complex phase could irreversibly share the oxygen molecules. A dispersion of the metal complex molecules in the polymer matrix was made to maintain the reversible reactivity of the metal complex molecules with oxygen in the polymer films via vacuum evaporation process. The Henry mode solubility constant, the Langmuir mode capacity constant, the amount of binding oxygen, and the dissociation equilibrium in the dual mode sorption theory were discussed.

Stability analysis of deepwater compliant vertical access riser about parametric excitation

  • Lou, Min;Hu, Ping;Qi, Xiaoliang;Li, Hongwei
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제11권2호
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    • pp.688-698
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    • 2019
  • If heave motion in the platform causes horizontal parametric vibration of a Compliant Vertical Access Riser (CVAR), the riser may become unstable. A combination of riser parameters lies in the unstable region aggravates vibrational damage to the riser. Change of axial tensile stress in the riser combined with its natural frequency and mode shape change results in mode coupling. In accordance with the state transition matrices of the riser in the coupled and uncoupled states, the stable and unstable regions were obtained by Floquet theory, and the vibration response under different conditions was obtained. The parametric excitation of the CVAR is shown to occur mainly in first-order unstable regions. Mode coupling may cause parametric excitation in the least stable regions. Damping reduces the extent of unstable regions to a certain extent.

두께가 얇은 단면을 갖는 보의 진동특성 (Vibration Characteristics of Thin-Walled Beams)

  • 오상진;이재영;모정만;박광규
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 추계학술대회논문집
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    • pp.709-712
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    • 2004
  • A study of the coupled flexural-torsional vibrations of thin-walled beams with monosymmetric cross-section is presented. The governing differential equations for free vibration of such beams are solved numerically to obtain natural frequencies and their corresponding mode shapes. The beam model is based on the Bernoulli-Euler beam theory and the effect of warping is taken into consideration. Numerical results are given for two specific examples of beams with free-free, clamped-free, hinged-hinged, clamped-hinged and clamped-clamped end constraints both including and excluding the effect of warping stiffness. The effect of warping stiffness on the natural frequencies and mode shapes is discussed and it is concluded that substantial error can be incurred if the effect is ignored.

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능동 슬라이딩 모드 제어기를 이용한 변형된 Lorenz 카오스 동기화 (Modified Lorenz Chaos Synchronization Via Active Sliding Mode Controller)

  • 류기탁;이윤형
    • 한국산학기술학회논문지
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    • 제19권7호
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    • pp.16-23
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    • 2018
  • 카오스는 비선형 과학 분야에서 매우 중요한 주제 중의 하나이며, Lorenz가 처음으로 소개한 이후 집중적으로 연구되어지고 있다. 카오스 시스템의 한 특성은 카오스 시스템에 의해 생성된 신호는 다른 어떤 시스템과 동기화되지 않는다는 것이다. 따라서 두 카오스 시스템은 서로 동기화되는 것이 불가능한 것처럼 보이지만, 만약 두 시스템이 적절한 방법으로 정보를 교환한다면 이 두 시스템은 동기화가 가능하다. 본 논문에서는 능동 제어와 슬라이딩 모드 제어, 그리고 리아프노프 안정도 이론을 기반으로 하는 변형된 Lorenz 카오스 시스템의 동기화 문제에 대해 다룬다. 동기화를 위해 고려한 기법은 선형상태 오차 변수에 의해 짝을 이룬 구동시스템과 응답시스템으로 구성된다. 이를 위해 우선 대상 카오스 시스템에 대해 간단히 살펴본다. 다음으로 능동제어, 슬라이딩 모드 제어 기법을 이용한 카오스 시스템의 동기화와 채터링 문제를 해결하기 위한 제어 방법을 도출한다. 전체 폐루프 시스템의 점근적 안정도는 리아프노프 안정도 이론에 의해 증명한다. 컴퓨터 시뮬레이션은 제안한 방법의 타당성을 확인하기 위해 그래픽으로 제시한다.

Density Functional Theory for Calculating the OH Stretching Frequency of Water Molecules

  • Jeon, Kiyoung;Yang, Mino
    • 대한화학회지
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    • 제60권6호
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    • pp.410-414
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    • 2016
  • The anharmonic frequency of a local OH stretching mode of a water monomer and dimer was calculated using various levels of density functional theory. The quantum chemical potential energy curves as a function of the OH bond distance were calculated, and they were fitted with the Morse potential function to analytically obtain the fundamental transition frequency. By comparing those values with the frequencies similarly calculated using an ab initio quantum chemical method, the coupled cluster theory including both single and double excitations with the perturbative inclusion of triple excitation in the complete basis limit, the accuracy of various density functional methods in the calculation of anharmonic vibration frequency of water molecules was assessed. For a water monomer, X3LYP and B3LYP methods give the best accuracy, whereas for a water dimer, B972, LCBLYP, ${\omega}B97X$, ${\omega}B97$ methods show the best performance.

BPM에 의한 Monolithic Laser-Waveguide Coupler의 특성 연구 (A Study on the Characteristics of Monolithic Laser-Waveguide Coupler by BPM)

  • 장지호;최태일;최병하
    • 한국통신학회논문지
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    • 제19권1호
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    • pp.100-110
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    • 1994
  • 본 연구에서는 효율적인 광원과 광도파로간의 결합방법으로서 많은 연구가 진행중인 monolithic laser-waveguide coupler 특성해석에 beam propagation method를 도입하여 기존의 방법과 비교검토 한 결과 타당성을 입증할 수 있었으며, 또한 결합효율을 향상시키기 위하여 taper 구조를 가진 monlithic laser-waveguide coupler를 제시하였다. monolithic laser-waveguide coupler는 능동소자인 laser의 특성과 수동소자인 waveguide의 특성을 동시에 가지고 있으므로 고려하여야할 요소가 매우 많고, 또 각 요소들의 변화에 따라 결합기의 성능이 크게 좌우되므로 그 특성 연구가 많은 어려움이 있었다. 때문에 본 연구에서는 방향성 결합기를 사용한 모델을 해석하는 방법으로 기존의 coupled mode 이론을 사용할 수도 있겠으나, 본 연구에서와 같이 많은 변수를 가지는 경우의 해석에는 적용하기 어렵다는 단점 때문에 beam propagation method를 사용한 해석을 시도하였다. 또한 해석에 있어서 가장 기본이 되는 초기전개의 계산에서도 종래의 연구에서와 달리 근사식을 이용해 전계를 계산하지 않고, 주어진 구조에 대하여 직접 finite difference method를 적용하여 초기전계를 구하였다. 이러한 새로운 시도들이 가지는 잇점을 방법과 비교하여 알아 보았으며, 새로운 방법의 적용을 통하여 보다 많은 변수를 고려하여 monolithic laser-waveguide coupler의 특성을 연구할 수 있었다. 이러한 과정을 통하여 결합기의 특성을 파악하고 그 결과로 monolothic laser-waveguide coupler의 특성중 가장 중요한 결합특성을 향상 시키기 위해서 taper영역을 가지는 monolothic laser-waveguide coupler를 제안하였다. 본 연구에서 제안한 구조에 대하여 특성을 조사해본 결과 79%정도의 좋은 결합효율을 얻을 수 있었다.

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Analysis of cross-talk effects in volume holographic interconnections using perturbative integral expansion method

  • Jin, Sang-Kyu
    • Journal of the Optical Society of Korea
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    • 제2권2호
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    • pp.58-63
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    • 1998
  • Cross-talk effects in high-density volume holographic interconnections are investigated using perturbative iteration method of the integral form of Maxwell's wave equation. In this method, the paraxial approximation and negligence of backward scattering introduced in conventional coupled mode theory is not assumed. Interaction geometries consisting of non-coplanar light waves and multiple index gratings are studied. Arbitrary light polarization is considered. Systematic analysis of cross-talk effects due to multiple index gratings is performed in increasing level of diffraction orders corresponding to successive iterations. Some numerical examples are given for first and third order diffraction.

횡-비틀림 연성진동하는 L형 단면 보의 크랙 검출에 대한 실험적 연구 (Experimental Study on Detection of Crack for Coupled Bending-torsional Vibrations of L-beams)

  • 손인수;이두호;노태우
    • 한국소음진동공학회논문집
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    • 제21권2호
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    • pp.169-177
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    • 2011
  • In this paper, the natural frequency of a cracked cantilever L-beams with a coupled bending and torsional vibrations is investigate by theory and experiment. In addition, a method for detection of crack in a cantilever L-beams is presented based on natural frequency measurements. The governing differential equations of a cracked L-beam are derived via Hamilton's principle. The two coupled governing differential equations are reduced to one sixth order ordinary differential equation in terms of the flexural displacement. Futher, the dynamic transfer matrix method is used for calculation of a exact natural frequencies of L-beams. The crack is assumed to be in the first mode of fracture and to be always opened during vibrations. In this study, the differences between the actual and predicted positions and sizes of crack are less than about 10 % and 39.5 % respectively.

The Analysis of tight Coupling and Propagation for a Composite Fiber-Dielectric Slab with a Conductor Cladding

  • Kwon, Kwang-Hee;Song, Jae-Won;Kim, Jeong-Hoon;Park, Euy-Don;Son, Seok-Woo
    • Journal of the Optical Society of Korea
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    • 제7권1호
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    • pp.20-27
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    • 2003
  • A theoretical presentation of evanescent coupling is offered with respect to the refractive indexes between a side-polished optical fiber and an infinitely planar waveguide with a conductor cladding (PWGCC). The PWG is suspended at a constant distance from an unclad fiber core and attached with the perfect conductor (PEC) on one side. The behavior of the distributed couple. is examined using a coupled mode model, which takes account of the two dimensions of the waveguide configuration. The coupling and propagation of light were found to depend on both the relationship between the refractive index values of each structure and the configuration of the side-polished fiber used in the PWGCC. The spreading of light in the unconfined direction of the PWGCC is described in terms of a simple geometrical interpretation of the synchronization condition that is in agreement with a previous investigation of the problem based on the coupled-mode theory (CMT). The power of the light propagation in the fiber decreased exponentially along the fiber axis as it was transferred to the PWGCC, where it was carried away.

Vibration analysis of heterogeneous nonlocal beams in thermal environment

  • Ebrahimi, Farzad;Barati, Mohammad Reza
    • Coupled systems mechanics
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    • 제6권3호
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    • pp.251-272
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    • 2017
  • In this paper, the thermo-mechanical vibration characteristics of functionally graded (FG) nanobeams subjected to three types of thermal loading including uniform, linear and non-linear temperature change are investigated in the framework of third-order shear deformation beam theory which captures both the microstructural and shear deformation effects without the need for any shear correction factors. Material properties of FG nanobeam are assumed to be temperature-dependent and vary gradually along the thickness according to the power-law form. Hence, applying a third-order shear deformation beam theory (TSDBT) with more rigorous kinetics of displacements to anticipate the behaviors of FG nanobeams is more appropriate than using other theories. The small scale effect is taken into consideration based on nonlocal elasticity theory of Eringen. The nonlocal equations of motion are derived through Hamilton's principle and they are solved applying analytical solution. The obtained results are compared with those predicted by the nonlocal Euler-Bernoulli beam theory and nonlocal Timoshenko beam theory and it is revealed that the proposed modeling can accurately predict the vibration responses of FG nanobeams. The obtained results are presented for the thermo-mechanical vibration analysis of the FG nanobeams such as the effects of material graduation, nonlocal parameter, mode number, slenderness ratio and thermal loading in detail. The present study is associated to aerospace, mechanical and nuclear engineering structures which are under thermal loads.