• Title/Summary/Keyword: 회절이론

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Fourier Transformations (TEM 관련 이론해설 (2): Fourier 변환)

  • Lee, Hwack-Joo
    • Applied Microscopy
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    • v.32 no.3
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    • pp.195-204
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    • 2002
  • In this review, the fundamental concepts of delta function, convolution integral and Fourier transformation are discussed. The applications of Fourier transformation to slit function, two very narrow slits, two slits of appreciable width, periodic array of narrow slits, arbitary periodic function, diffraction gratings and gaussian functions are also introduced.

Near-Field FDTD Simulation of Nonlinear Thin Film Structure (비선형 박막에서 근접장 광현상에 관한 이론적 연구)

  • 이현호;채규민;유장훈;임상엽;박승한
    • Proceedings of the Optical Society of Korea Conference
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    • 2003.07a
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    • pp.188-189
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    • 2003
  • 현재까지 많은 자체집광(Self-focusing)현상대한 많은 실험적인 연구와 이론적인 연구가 있어 왔다. 이 대표적인 광학적 비선형 현상중 하나인 자체집광현상은 물질의 종류나 구조에 따라 여러 가지 형태로 나타난다. 특히, 근래들어 비선형 박막에서 일어나는 자체집광 현사을 근접장(near-field)영역에서 관측한 실험이 있어왔다. 회절한계이하의 빔 크기를 형성시키기 위하여 자체집광현상을 이용하려는 이러한 연구는 광 메모리와 같은 응용분야에 효과적으로 응용되리라 예상된다. (중략)

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Application of an XRD-Pattern Calculation Method to Quantitative Analysis of Clay Minerals (X-선 회절도형 계산방법을 이용한 점토광물의 정량분석)

  • Ahn, Jung-Ho
    • Journal of the Mineralogical Society of Korea
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    • v.5 no.1
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    • pp.32-41
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    • 1992
  • An XRD quantitative analytical method using calculated XRD patterns was discussed in this study, Deep-seabed sediments commonly contain smectite, illite, chlorite, and kaolinite, and XRD pattern of each clay mineral of appropriate chemical composition was simulated by using an XRD pattern calculation method. Theoretical peak intensities of specific reflections of four clay minerals (the 001 reflections of smectite and illite, the 004 reflection of chlorite, and the 002 reflection of kaolinite) were measured from calculated patterns, and MIF(mineral intensity factor)value of each phase was determined from the intensities of calculated patterns. The peak intensities obtaine from experimental XRD patterns of sediments were corrected using the MIF values so that the calibrated intensity values for the specimens are linearly proportional to the weight fraction of each phase, which is normalized to 100 wt%. The MIF method can provide accurate quantitaive results without the necessity of correcting the factors by the mass absorption coefficient of each phase. This method excludes the necessity of standard specimens having compositions that are similar to those of clay minerals in the sediment samples. Therefore, quantitaive analysis using XRD calculation method can be utilized for the specimens, for which the standard specimens are very difficult or impossible to obtain. this quantitative method can provide rapid, routine analysis results for a large number of samples which occur in similar geological environments.

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Spatial Variation of Diffracting Wave Amplitudes on the Front and Lee Sides of the Semi-Infinite Breakwater (반무한방파제 전면과 후면에서 회절파의 공간적인 변화)

  • Jung, Jae-Sang;Lee, Changhoon
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.32 no.4
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    • pp.203-210
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    • 2020
  • Spatial variation of diffracting wave amplitudes along a semi-infinite breakwater is investigated using the analytical solution of Penney and Price (1952) for wave diffraction. On the front side of the breakwater, the fluctuation of wave amplitudes due to diffracting waves would cause a wave force greater than that of superposed incident and reflected waves. The diffracting wave phase varies in circular shape from the breakwater tip of (x, y) = (0, 0) whereas the incident and reflected wave phases vary in planar shape. So, the total wave amplitude of the incident (or reflected) waves and the diffracting waves would fluctuate at a position away from the energy discontinuity line. The position (x, y) = (0, y) on the front and lee sides of the breakwater is at a distance y(π/2 - β) of the point on the energy discontinuity line along the diffracting wave crest line. The degree of reduction of the diffraction wave energy is proportional to the distance from the point on the energy discontinuity line along the diffracting wave crest line. Therefore, the diffracting wave amplitudes on the front and lee sides of the breakwater would be inversely proportional to the square root of y(π/2 - β).

Analysis of the Performance of Ultrasonic Transducers (초음파 탐촉자의 성능 평가법)

  • 노용래
    • The Journal of the Acoustical Society of Korea
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    • v.10 no.6
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    • pp.12-22
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    • 1991
  • 초음파 탐촉자 성능의 이론적 평가법을 개발해 이중소자 탐촉자에 적용하였다. 본 방법은 탐촉 자의 발신, 회절, 수신특성을 주파수, 시간 영역에서 평가할 수 있으며, 특히 시간영역에서는 통상 사용 하는 역푸리에 변환법에 의존하지 않고 음파의 투과, 반사 특성을 고려해 파형을 직접 구할 수 있다.

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First-Principles Investigation of the Surface Properties of LiNiO2 as Cathode Material for Lithium-ion Batteries (제일원리계산을 이용한 리튬이차전지 양극활물질 LiNiO2의 표면 특성에 관한 연구)

  • Choi, Heesung;Lee, Maeng-Eun
    • Journal of the Korean Electrochemical Society
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    • v.16 no.3
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    • pp.169-176
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    • 2013
  • Solid state lithium oxide compounds of layered structure, which has high stability of structure, are mainly used as the cathode materials in lithium-ion batteries (LIBs). Recently, the investigation of Solid Electrolyte Interphase (SEI) between active materials and electrolyte has been focusing to improve the performance of lithium-ion batteries. For the investigation of the SEI, the study of surface properties of cathode materials and anode materials is also required in advance. $LiNiO_2$ and $LiCoO_2$ are very similar layered structure of cathode active materials and representative solid state lithium oxide compounds in LIBs. Various experimental and theoretical studies have been doing for $LiCoO_2$. The theoretical investigation of $LiNiO_2$ is not sufficient, however, even if experimental studies of $LiNiO_2$ are enough. In this study, the surface energies of nine facets of $LiNiO_2$ crystal facets were calculated by Density Functional Theory. In XRD data of $LiNiO_2$, (003), (104), (101), et al. facets are main surfaces in order. However, the results of calculation are different with XRD data. Thus, both (104) and (101) facets, which are energetically stable and measured in XRD, are mainly exposed in the surface of $LiNiO_2$ and it is expected that intercalation and de-intercalation of Li-ion will be affected by them.

Simulated Images of the Second Derivative of the Exit-plane Wavefunction Giving Sub-50 pm Resolutions in HRTEM (HRTEM에서 50 pm 이하 분해를 주는 결정 밑 표면 파동함수의 2차 도함수의 시뮬레이션 영상들)

  • Kim, Hwang-Su
    • Applied Microscopy
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    • v.39 no.2
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    • pp.175-183
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    • 2009
  • In this paper we present sub-50 pm resolution images of atom columns simulated with the negative of the second derivative of the exit-plane wave function (EPW). The EPW can be retrieved from a focal series reconstruction in the (high resolution) transmission electron microscopy (HRTEM). The simulated images are for Si and InAs in [114] and [116] orientations, which give about sub-50 pm separations of atom columns. The theoretical reason for the validity of this method is given from analysis based on the kinematical diffraction theory, and the limitation for applicability of this method also is discussed.

Fabrication of a gaussian amplitude modulation plate and measurement of diffraction linewidth (가우스 진폭변조판의 제작 및 회절 선폭 측정)

  • 송영란;이민희;이상수
    • Korean Journal of Optics and Photonics
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    • v.10 no.6
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    • pp.448-452
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    • 1999
  • The Gaussian impulse fUllction initially assumed in the inverse problem is $e^{-\sigma^2\chi^2}$. The modified Gaussian amplitude pupil function $e^{\frac-{\omega^2}{4\sigma^2}$ is obtained by the inverse Fourier transform of $e^{-\sigma^2\chi^2}$. A Gaussian amplitude modulation plate (GAMP) is designed and fabricated by using absorption and transparence glass which are the same refractive index. It is compared the experimental transmittance with theoretical that of GAMP. It is found that the linewidth of Gaussian optical imaging system obtained by wavelength is $0.365{\mu}m$ and NA is 0.07 is decrease 2/3 than that of Rayleigh.

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Wave Deformation by Submerged Flexible Circular Disk (몰수된 원형 유연막에 의한 파랑변형)

  • 조일형;김무현
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.12 no.3
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    • pp.116-129
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    • 2000
  • The interaction of incident monochromatic waves with a tensioned, flexible, circular membrane submerged horizontally below free surface is investigated in the frame of three-dimensional linear hydro-elastic theory. The velocity potential is split into two parts i.e. the diffraction potential representing the scattering of incident waves by a rigid circular disk and the radiation potential describing motion induced waves by elastic responses of flexible membrane. The fluid domain is divided into three regions, and the diffraction and radiation potentials in each region are expressed by the Fourier Bessel series. The displacement of circular membrane is expanded with a set of natural functions, which satisfy the membrane equation of motion and boundary conditions. The unknown coefficients in each region are determined by applying the continuity of pressure and normal velocity at the matching boundaries. The results show that various types of wave focusing are possible by controlling the size, submergence depth, and tension of membrane.

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User-Body Shadowing Analysis Technique in Ship Environment Based on the Uniform Geometrical Theory of Diffraction (균일 회절 이론을 이용한 선박 환경에서의 단말기 사용자 쉐도잉 분석 기법)

  • Kim, Chang-Hoe;Jung, Jae-Hoon;Lee, Seong Ro;Kim, Seong-Cheol
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39C no.11
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    • pp.1209-1215
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    • 2014
  • The Uniform Geometrical Theory of Diffraction(UTD) is an effective technique to analyze the radio wave by ray-based calculation of the diffraction coefficient and the reflection coefficient. In this paper, user body shadowing based on the UTD is investigated when the user is close to the mobile device. Two cases are introduced. One is that the user is calling with the mobile attached to the ear(Head Model). The other is that the mobile is located about 15cm away from the user's chest(Chest Model) Radiation Model and Scattering Model are applied to these cases presenting which model is applicable.