• Title/Summary/Keyword: Diffraction theory

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Fresnel Diffraction and Fraunhoffer Diffraction (TEM 관련 이론해설 (1): 프레넬 회절과 프라운호퍼 회절)

  • Lee, Hwack-Joo
    • Applied Microscopy
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    • v.32 no.2
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    • pp.81-90
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    • 2002
  • In this review, the author discussed how the Fresnel and Fraunhoffer Diffraction can be deduced from the Huygens-Fresnel principle and Kirchhoff Diffraction Theory. Fresnel diffraction became the basic theory of the CTEM image theory, and Fraunhoffer diffraction became the base for electron diffraction and HRTEM image theory by Fourier transformation. The author also discussed the diffraction based on Born series.

Dynamic Interaction of Waves with a Moored Structure (계류된 구조물에 작용하는 파도의 동적작용에 대하여)

  • Kim, Chang-Je
    • Journal of Ocean Engineering and Technology
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    • v.6 no.2
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    • pp.94-102
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    • 1992
  • This paper presents the method of numerical analysis concerned with the hydropdynamic forces and moments of the floating bodies exerted by waves. The analytic methods of hydrodynamic wave forces and moments for large volume structures are generally classified into four categories ; the strip method, the boundary element method, the finite element method, and the potential matching method. In the case of the comparatively large structures, diffraction theory can be applied. However, there are no application limits of diffraction theory which have been known concerning with the analytic method of the rectangular structures. In this paper, the two-dimensional B.E.M. is treated for a moored small rectangular structure in order to evaluate applicability of diffraction theory. Numerical calculation is carried out for the structure. The results are compared with some other ones for verification. The result shows that diffraction theory is applicable to structures smaller than 0.15 in the ratio of the representative structure length d to wave length L for rectangular ones.

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Heuristic Physical Theory of Diffraction for Impedance Polygon

  • Lee, Keunhwa;Park, Sanghyun;Kim, Kookhyun;Seong, Woojae
    • International Journal of Ocean System Engineering
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    • v.3 no.1
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    • pp.22-32
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    • 2013
  • A heuristic physical theory of diffraction (PTD) for an acoustic impedance wedge is proposed. This method is based on Ufimtsev's three-dimensional PTD, which is derived for an acoustic soft or hard wedge. We modify the original PTD according to the process of physical optics (or the Kirchhoff approximation) to obtain a 3D heuristic diffraction model for an impedance wedge. In principle, our result is equivalent to Luebbers' model presented in electromagnetism. Moreover, our approach provides a useful insight into the theoretical basis of the existing heuristic diffraction methods. The derived heuristic PTD is applied to an arbitrary impedance polygon, and a simple PTD formula is derived as a supplement to the physical optics formula.

Multiple light diffraction theory in volume gratings using perturbative integral expansion method

  • Jin, Sang-Kyu
    • Journal of the Optical Society of Korea
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    • v.1 no.2
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    • pp.67-73
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    • 1997
  • Light wave diffraction from multiple superposed volume gratings is inestigated using a perturbative iteration method of the integral equation of Maxwell's wave equation. The host material and index gratings are anisotropic and non-coplanar multiple volume gratings are considered. In this method, the paraxial approximation and lack of backward scattering in conventional coupled mode theory are not assumed. Systematic analysis of anisotropic wave diffraction due to multiple noncoplanar volume index gratings is performed in increasing level of diffraction orders corresponding to successive iterations.

Theory of Imaging And Diffraction (TEM 관련 이론해설 (3): 영상 형성이론과 회절이론)

  • Lee, Hwack-Joo
    • Applied Microscopy
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    • v.33 no.3
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    • pp.169-178
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    • 2003
  • In this review, theoretical approaches of imaging and diffraction in electron microscopy are introduced which allows the diffraction patterns and images to be treated with equal facility and emphasized the relationships between them. The coherent wave optics, incoherent wave imaging theory were introduced. The idea of Abbe theory was also introduced. Varoius phase contrast theories in small angle approximation were derived including the wave theory on Multi-component system.

Sound Propagation over Multiple Wedges and Barriers

  • Kim, Hyun-Sil;Kim, Jae-Sueng;Kang, Hyun-Ju;Kim, Bong-Ki;Kim, Sang-Ryul
    • The Journal of the Acoustical Society of Korea
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    • v.23 no.2E
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    • pp.44-50
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    • 2004
  • A theoretical formula that is based on the geometrical theory of diffraction (GTD) is proposed for computing sound diffraction by multiple wedges, barriers, and polygonal-like shapes. The formula can treat both convex and concave edges, where edges mayor may not be inter-connected. Comparisons of theoretical predictions with other results done by the BEM or experiments for scaled model confirm the accuracy of the present formula. Numerical examples such as double wedges and doubly inclined barrier show that when there exist several diffraction paths for given source and receiver positions, the insertion loss is dominated by the diffraction associated with the shortest propagation path.

The Study on Diffraction of Waves About a Breakwater-Gap (방파제에서의 회절파에 관한 연구(제2보))

  • 강관원;송병하
    • Water for future
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    • v.9 no.1
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    • pp.70-80
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    • 1976
  • The efficient breakwater design requires a knowledge of the behaviour of the waves passing the breakwater. Wave Diffraction is an important factor and phenomeon in this behaviour. The diffraction ocean waves entering a gap in a breakwater normal to the incident wave direction in water of uniform depth has been investigated, applying a solution previously given in the author's paper, based on the theory of light diffraction by Sommerfeld. The wave profiles and heights on both the leeward side of the breakwater and the gap side have been studied and summarized in the form of diagrams with diffraction coefficients in range of x/L, y/L 0∼100, b/L=0.5∼12, with some extension of the diagrams made previously. The results of the theoretical approaches have not been experimentally verified. The theory ad computation methods with computer program in Fortran IV developed in this study make an efficient use for estimating the diffraction about a breakwater gap.

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AKALYSIS OF DIFFRACTION OVER AN OBSTACLE AND AN APERTERE WITH RECTANGULAR TYPE (구형 OBSTACLE과 APERTURE에 대한 회절 해석)

  • 홍재운;김시천;홍의석
    • Proceedings of the Korean Institute of Communication Sciences Conference
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    • 1988.10a
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    • pp.126-130
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    • 1988
  • In this paper the intensity variation of electromagnedtic wave is computed with Huygens Fresnel’s theory using diffraction plaenomethon. An obstacle or an aperture with pertangular type between a transmitter and a receiver is consider and the frequency is selcetde in a car phone system band(870~1500MHz) For numerical analysis Fresnel integral equation is developed which is based on the Kirchhoff’s diffraction theory. The result with the obstacle’s dimension from finite value to extremely large confirms the validity of computer simulation.

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A Study of the Crystal Structure of the Fine S-Phase Precipitate in Al-Cu-Mg Alloy by Electron Diffraction Experiments (전자회절실험에 의한 알루미늄 합금 (Al-Cu-Mg)의 미세 S-상 석출입자에 대한 결정구조 연구)

  • Kim, Hwang-Su
    • Applied Microscopy
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    • v.35 no.4
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    • pp.1-9
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    • 2005
  • In this paper it is reported that a comprehensive study of the crystal structure of the fine size S-phase ($Al_2CuMg$) precipitate in Al-Cu-Mg alloy by electron diffraction experiments. The experiments involve taking the selected area diffraction pattern for a S-phase particle, simulations of the pattern based on the kinematical diffraction theory and quantitative data collection from the zone axis diffraction patterns for the comparison with calculated diffraction intensity using both the kinematical and the dynamical diffraction theory. As a result, a good fitting model of the S-phase structure turns out to be the model reported early by X-ray methods (Perlitz & Westgren, 1943), not the new model determined by HRTEM methods (Radmilovic et al., 1999).

An Efficient and Accurate Method for Calculating Nonlinear Diffraction Beam Fields

  • Jeong, Hyunjo;Cho, Sungjong;Nam, Kiwoong;Lee, Janghyun
    • Journal of the Korean Society for Nondestructive Testing
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    • v.36 no.2
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    • pp.102-111
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    • 2016
  • This study develops an efficient and accurate method for calculating nonlinear diffraction beam fields propagating in fluids or solids. The Westervelt equation and quasilinear theory, from which the integral solutions for the fundamental and second harmonics can be obtained, are first considered. A computationally efficient method is then developed using a multi-Gaussian beam (MGB) model that easily separates the diffraction effects from the plane wave solution. The MGB models provide accurate beam fields when compared with the integral solutions for a number of transmitter-receiver geometries. These models can also serve as fast, powerful modeling tools for many nonlinear acoustics applications, especially in making diffraction corrections for the nonlinearity parameter determination, because of their computational efficiency and accuracy.