• Title/Summary/Keyword: Kirchhoff 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.

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.

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

  • Jeong, Hyun-Jo;Kim, Jin-Ho
    • Journal of the Korean Society for Nondestructive Testing
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    • v.20 no.2
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    • pp.102-109
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    • 2000
  • This paper describes two different theories used to model the scattering of ultrasound by a volumetric flaw and a crack-like flaw. The elastodynamic Kirchhoff approximation (EKA) and the geometrical theory of diffraction (GTD) are applied respectively to a cylindrical cavity and a semi-infinite crack. These methods are known as high frequency approximations. The 2-D elastodynamic scattering problems of a plane wave incident on these model defects are considered and the scattered fields are expressed in terms of the reflection and diffraction coefficients. The ratio of the scattered far field amplitude to the incident wave amplitude is computed as a function of the angular location and compared with the boundary element solutions.

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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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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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    • v.42 no.6
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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.

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

  • 오일덕
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.6
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    • pp.1149-1157
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    • 1994
  • In this case of the mobile communication of vehicles with satellite, the signal at attenuation is due to roadside trees. To analyze this signal attenuation, a roadside tree was modeled as different obstacles of rectangular type and then using Fresnel and Kirchhoff diffraction theory, a formula was derived for signal intensity variation caused by the roadside tree model. The signal attenuation of a roadside tree model was obtained by numerical analysis with variation of the elevation angle, the position and distance between a receiver and a transmitter, and these were compared with experimental results. The results of comparison between theoretical and experimental values show, as expected, the good agreement of the signal attenuation trend.

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

  • 권도훈;선영식;명노훈
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.31A no.10
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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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The Diffraction Phenomena on Rectangular and Circular Apertures (구형 및 원형 Aperture에서의 회절 현상)

  • 홍의석;오일덕
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.11
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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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Development of near field Acoustic Target Strength equations for polygonal plates and applications to underwater vehicles (근접장에서 다각 평판에 대한 표적강도 이론식 개발 및 수중함의 근거리 표적강도 해석)

  • Cho, Byung-Gu;Hong, Suk-Yoon;Kwon, Hyun-Wung
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.05a
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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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Signal Attenuation in Mobile Communication by Many Different Types of Obstacles (이동통신시 여러 형태의 장애물로 인한 신호감쇠)

  • 이찬주;홍의석
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.29A no.4
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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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