• 제목/요약/키워드: Kirchhoff diffraction theory

검색결과 12건 처리시간 0.022초

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

  • 이확주
    • Applied Microscopy
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    • 제32권2호
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    • pp.81-90
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    • 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.

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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    • 제3권1호
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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.

고주파수 근사 이론을 이용한 결함으로부터의 초음파 산란장 해석 (Analysis of Scattered Fields Using High Frequency Approximations)

  • 정현조;김진호
    • 비파괴검사학회지
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    • 제20권2호
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    • pp.102-109
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    • 2000
  • 본 논문에서는 체적형 결함과 균열형 결함에 대한초음파산란 현상을 모델링하기 위한 두가지 이론을 설명하였다. 동탄성 Kirchhoff 근사 (EKA)와 기하학적 회절이론 (GTD)이 각각 원주형 기공과 반무한 균열에 적용되었다. 이 두 이론은 고주파수 근사법으로 알려져 있다. 모델 결함들에 평면파가 입사하는 경우의 2차원 동탄성 산란 문제를 고려하였으며 산란장을 반사계수와 회절계수의 항으로 구하였다. 원거리에서 산란파의 변위에 대한 입사파 변위의 비를 관찰 방향의 함수로 구했으며 그 결과를 경계요소법과 비교하였다.

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

  • 홍재운;김시천;홍의석
    • 한국통신학회:학술대회논문집
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    • 한국통신학회 1988년도 추계학술발표회 논문집
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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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Millimeter-wave diffraction-loss model based on over-rooftop propagation measurements

  • Kim, Kyung-Won;Kim, Myung-Don;Lee, Juyul;Park, Jae-Joon;Yoon, Young Keun;Chong, Young Jun
    • ETRI Journal
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    • 제42권6호
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    • pp.827-836
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    • 2020
  • Measuring the diffraction loss for high frequencies, long distances, and large diffraction angles is difficult because of the high path loss. Securing a well-controlled environment to avoid reflected waves also makes long-range diffraction measurements challenging. Thus, the prediction of diffraction loss at millimeter-wave frequency bands relies on theoretical models, such as the knife-edge diffraction (KED) and geometrical theory of diffraction (GTD) models; however, these models produce different diffraction losses even under the same environment. Our observations revealed that the KED model underestimated the diffraction loss in a large Fresnel-Kirchhoff diffraction parameter environment. We collected power-delay profiles when millimeter waves propagated over a building rooftop at millimeter-wave frequency bands and calculated the diffraction losses from the measurements while eliminating the multipath effects. Comparisons between the measurements and the KED and GTD diffraction-loss models are shown. Based on the measurements, an approximation model is also proposed that provides a simple method for calculating the diffraction loss using geometrical parameters.

도로변 가로수로 인한 전자파의 장애에 관한 연구 (A Study on Obstruction of Radio Waves by Trees on the Road)

  • 오일덕
    • 한국통신학회논문지
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    • 제19권6호
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    • pp.1149-1157
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    • 1994
  • 위성을 이용한 이동통신시 도로 주변의 가로수가 신호감쇠의 주요 원인이 된다. 이러한 가로수로 인한 신호감쇠를 해석하기 위하여 가로수를 구형장애물들의 조합으로 모델화 시키고, 가로수 모델에 대한 신호세기의 변화를 Frensnel 및 Kirchhoff 회적이론을 근거로 유도하였다. 가로수 모델에 의한 신호감쇠를 송.수신 거리, 송.수신 단의 위치 및 고도각을 변화시켰을 때의 이론치를 수치해석적으로 계산하여 실험치와 비교하였다. 이론치와 실험치와를 비교한 결과 신호감쇠 경향이 일치함을 볼 수 있었다.

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모스정합을 결합한 UTD에 의한 큰 평행도파관의 고주파간섭 해석 (UTD-Supplemented Mode-matching Method Analysis of High-Frequency Wave Coupling into Large Parallel Plate Waveguides)

  • 권도훈;선영식;명노훈
    • 전자공학회논문지A
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    • 제31A권10호
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    • pp.48-53
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    • 1994
  • The problem of a plane wave impinging upon a semi-infinite paralle-plate waveguide is investigated. The interior fields can be analyzed by converting the initial field into vaveguide modes. Kirchhoff approximation is usually made at the waveguide aperture in the literature. In this paper, a modified approximation is made using the Uniform Gemetrical Theory of Diffraction(UTD). Numerical results show excellent agreement between UTD-supplemented mode-matching solution and UTD solution.

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구형 및 원형 Aperture에서의 회절 현상 (The Diffraction Phenomena on Rectangular and Circular Apertures)

  • 홍의석;오일덕
    • 대한전자공학회논문지
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    • 제26권11호
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    • pp.1752-1758
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    • 1989
  • For many different types of apertures the diffraction phenomenon on the electromagnetic wave is analyzed by unsing Kirchhoff and Fresnel's diffraction theory. The signal intensity in variation of aperture's parameters is numerically calculated by a computer. To obtain the experimental data many types of apertures were made on an acryl board on which a special materical Elecoat was painted for preventing some reflections on the board surface and transmissions through it. Two Yagi antennas were used for a transmitting and receiving antenna and the frequency was 820MHz. The theoretichal values agreed reasonably with experimental data and these results will be used for a system design in the mobile communication between many buildings in the middle of a city.

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근접장에서 다각 평판에 대한 표적강도 이론식 개발 및 수중함의 근거리 표적강도 해석 (Development of near field Acoustic Target Strength equations for polygonal plates and applications to underwater vehicles)

  • 조병구;홍석윤;권현웅
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 춘계학술대회논문집
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    • pp.1062-1073
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    • 2007
  • Acoustic Target Strength (TS) is a major parameter of the active sonar equation, which indicates the ratio of the radiated intensity from the source to the re-radiated intensity by a target. In developing a TS equation, it is assumed that the radiated pressure is known and the re-radiated intensity is unknown. This research provides a TS equation for polygonal plates, which is applicable to near field acoustics. In this research, Helmholtz-Kirchhoff formula is used as the primary equation for solving the re-radiated pressure field; the primary equation contains a surface (double) integral representation. The double integral representation can be reduced to a closed form, which involves only a line (single) integral representation of the boundary of the surface area by applying Stoke's theorem. Use of such line integral representations can reduce the cost of numerical calculation. Also Kirchhoff approximation is used to solve the surface values such as pressure and particle velocity. Finally, a generalized definition of Sonar Cross Section (SCS) that is applicable to near field is suggested. The TS equation for polygonal plates in near field is developed using the three prescribed statements; the redection to line integral representation, Kirchhoff approximation and a generalized definition of SCS. The equation developed in this research is applicable to near field, and therefore, no approximations are allowed except the Kirchhoff approximation. However, examinations with various types of models for reliability show that the equation has good performance in its applications. To analyze a general shape of model, a submarine type model was selected and successfully analyzed.

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이동통신시 여러 형태의 장애물로 인한 신호감쇠 (Signal Attenuation in Mobile Communication by Many Different Types of Obstacles)

  • 이찬주;홍의석
    • 전자공학회논문지A
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    • 제29A권4호
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    • pp.7-13
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    • 1992
  • Diffraction loss occurs when the propagation path is obstructed by mountains and hills between a base station antenna and a moving vehicle antenna in mobile-radio communication. In this paper an approximate mathematical model using Fresnel-Kirchhoff diffraction theory is considered to predict propogation attenuation by natural obstacles with lateral profiles having general shapes. Field tests are conducted using helical and crossed drooping dipole antenna at 820 MHz. The theoretical analysis used in estimating the effects of hills agrees reasonably with experimental data. The results seem to be useful for estimating the level of received power, the minimum allowable input power, the optimum site of base station and consequently, planning terrestrial microwave links.

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