• Applied Microscopy
• /
• 제32권2호
• /
• pp.81-90
• /
• 2002

회절 현상의 기초가 되는 호이겐스 원리로부터 키르히호프 공식을 유도하고 이어 이를 응용한 프레넬 회절과 프라운호퍼 회절에 대한 수학적인 도출을 소개하였다. 프레넬 회절은 후에 CTEM 영상 이론에 기반이 되고 프라운호퍼 회절은 수학적으로 Fourier 변환을 나타내어 전자회절 패턴이론과 HRTEM 영상이론에 기반을 이루게 된다. 다른 각도에서 개발된 Born 시리즈에 의한 산란 현상에 관한 이론도 소개하였다. 본회에서 소개된 이론은 후에 소개될 이론의 기반이 되면서 자주 사용되므로 일반물리학에서 많이 소개되고 있는 회절 현상에 대하여 이 기회에 이론적인 실력을 단단히 쌓았으면 한다.

• 한국해양공학회지
• /
• 제6권2호
• /
• pp.94-102
• /
• 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.

• International Journal of Ocean System Engineering
• /
• 제3권1호
• /
• pp.22-32
• /
• 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.

• Journal of the Optical Society of Korea
• /
• 제1권2호
• /
• pp.67-73
• /
• 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.

• Applied Microscopy
• /
• 제33권3호
• /
• pp.169-178
• /
• 2003

영상이론과 회절 이론을 같은 비중으로 다루고 이들과의 관계를 나타내는 wave optics 이론을 소개하였다. 결맞는 파동 이론과 결 안맞는 파동이론 사이의 차이를 나타내고 Abbe이론과 여러 가지 phase contrast 이론들을 small angle 근사로 접근하였다. 마지막으로 다중 성분 시스템에 대한 파동 광학의 수학적인 방법의 적용을 소개하였다.

• The Journal of the Acoustical Society of Korea
• /
• 제23권2E호
• /
• pp.44-50
• /
• 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.

• 물과 미래
• /
• 제9권1호
• /
• pp.70-80
• /
• 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.

• 한국통신학회:학술대회논문집
• /
• 한국통신학회 1988년도 추계학술발표회 논문집
• /
• pp.126-130
• /
• 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.

• Applied Microscopy
• /
• 제35권4호
• /
• pp.1-9
• /
• 2005

이 논문에서 Al-Cu-Mg 합금의 미세 석출 입자의 S-상 ($Al_2CuMg$) 결정구조에 대해 전자회절실험에 의한 포괄적인 연구 결과가 보고 되어 있다. 이 실험에는 한 S-상 입자를 포함하는 최소 영역의 일정 zone축의 회절패턴(SAED) 관찰과 이에 대응되는 운동학적 이론을 기초로 한 패턴의 시물레이션과의 비교 분석, 그리고 관측된 회절 패턴 필름으로부터 각 Bragg회절 점의 강도의 정량적 데이터 추출과 운동학적 및 동역학적 회절 강도 계산과의 비교 검토의 과정을 포함하고 있다. 이러한 연구의 한 결과 S-상의 결정구조는 일찍이 X-ray 방법으로부터 얻은 PW 모델결정(Perlitz and Westgren, 1943)과 일치함을 보여주고 있고, HREM 방법에 의해 새로이 구한 RaVel (Radmilovic et al., 1999) 모델과는 전혀 맞지않음이 판명되었다.

• 비파괴검사학회지
• /
• 제36권2호
• /
• pp.102-111
• /
• 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.