• Title/Summary/Keyword: Sommerfeld Method

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Comparative Study on the Radiation Techniques for the Problem of Floating Body Motion with Forward Speed (전진 속도를 가지는 부유체 운동 문제에 대한 방사기법 비교 연구)

  • Oh, Seunghoon
    • Journal of the Society of Naval Architects of Korea
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    • v.56 no.5
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    • pp.396-409
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    • 2019
  • In this paper, a comparative study on the radiation techniques for the motion analysis of the three dimensional floating structure with the forward speed was carried out. The Sommerfeld radiation condition, the damping technique, and the point shift technique were used for the comparative study. Radiated wave patterns and hydrodynamic coefficients of the heave motion of floating structure with the forward speed were compared and analyzed. The characteristics and limitations of each radiation technique were analyzed through the calculation results. To overcome the limitations of conventional radiation techniques, the hybrid radiation technique combining the Sommerfeld radiation condition with the damping technique was proposed. It is confirmed that the proposed method, the Hybrid radiation technique, improves the limitation of the speed range and the dissipation of the wave of the conventional radiation technique. The motion analysis code of the three dimensional floating structure with the forward speed based on the Rankine source method with hybrid radiation technique was developed. In order to validate the developed code, hydrodynamic analyses were carried and compared with published experiments.

Scattering of arbitrarily large targets above a ground using steepest descent path integration (최대경사 적분법을 이용한 지면위 큰 대형 표적의 산란 특성)

  • Lee, Seung-Hak;Kim, Che-Young;Lee, Chang-Won
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.39 no.7
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    • pp.38-45
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    • 2002
  • This paper derives the electric field integral equation to calculate scattering from arbitrary large target above and radiating of an electric line source within a lossy ground. Sommerfeld’s type integral requires a lot of time to calculate and has some difficulties and limitations for an analysis region. But SDP (steepest descent path) integration gives fast calculation of the integral, and the result shows that SDP integration has the validity for all over the analysis region with fast evaluation. Moment method with SDP integration is used to calculate the scattering of an arbitrary large conducting target and the results are compared with that of the numerical integration with Gaussian quadrature rule and GPOF (generalized pencil of function) method.

A Study on Complex Image Method and hybrid CIM for Spatial Domain Green Function (공간영역 Green 함수의 복소영상법과 혼합 복소영상법에 관한 연구)

  • Kim, Sang-Jin;Kim, Young-Sik;Cheon, Chang-Yul
    • Proceedings of the KIEE Conference
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    • 1998.07e
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    • pp.1831-1833
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    • 1998
  • In this paper, A complex-image method(CIM) and efficient numerical integration algorithm is implemented to evaluate the spatial-domain Green's function through the Sommerfeld-type integral with a thick substrate. CIM is compared to numerical integration technique.

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The Analysis of Arbitrarily Shaped Microstrip Patch Antennas using the MPIE (MPIE를 이용한 임의의 형상을 갖는 마이크로스트립 패치 안테나의 해석)

  • 정대호;김태원;김정기
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.8
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    • pp.1059-1068
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    • 1993
  • We will put the emphasis on the analysis of arbitrarily shaped microstrip antennas. The most general and rigorous treatment of microstrip antennas is given by the electric field integral equation(EFIE), usally formulated in the spectral domain. In this paper, we use a modification of EFIE, called the mixed potential integral equation(MPIE) , and we solve it in the space domain. This technique uses Green's functions associated with the scalar and vector potential which are calculated by using stratified media theory and are expressed as Sommerfeld integrals. The integral equation is solved by a moment's method using rooftop subsectional basis function. Thus, microstrip patches of any shape can be analysed at any frequency and for any substrate. Numerical results for a rectangular patch and for a L-shaped patch are given and compared with measured values.

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The Construction of Ultrasonic Hologram and the Image Reconstruction Using Computer (초음파 홀로그램의 구성과 컴퓨터 영상재현)

  • Jang, Seong-Hwan;Go, Dae-Sik;Jeon, Gye-Seok
    • The Journal of the Acoustical Society of Korea
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    • v.8 no.4
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    • pp.23-28
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    • 1989
  • In this paper, the construction of ultrasonic hologram and the image reconstruction using computer have been studied, and it has been compared with optical reconstruction. The ultrasonic hologram has been constructed using c-scanning method$(128\times128 step)$and the image of the object has been reconstructed by computer using Rayleigh -Sommerfeld formula and DFT algorithm. In this experiment, the holography system has been builted with the transducer of 5MHz center frequency and 5cm focal length, and the mechanical c-scanning system. It has been shown that the reconstructed image using computer for aluminum plane with the 'S' shaped defect has been displayed image of high quality.

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Closed-Form Green's Function for the Analysis of Microstrip Structure (마이크로스트립 구조 해석을 위한 Closed-Form 그린 함수)

  • Yang, Seung-Woo;Kim, Sung-Jin;Kim, Gun-Woo;Lee, Taek-Kyung
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.19 no.3
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    • pp.281-293
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    • 2008
  • In the layered medium, the Sommerfeld integral must be evaluated to calculate a space domain Green's function. The real axis integration method provides stable and accurate results over wide ranges of the observation distance and the singnal frequency. But this method has the in efficiency of approximation when the field point z is changed. Also, as the amplitude of z increases, the change of the spectral domain function is more rapidly. Therefore, the approximation is difficult when z becomes larger. In this paper, we propose a method to calculate an accurate closed-form Green's function for microstrip structure by using the closed-loop integration path.

Analysis of Cylindrical Hydrostatic Bearing (진원형 정수압 베어링의 해석)

  • 문호지;한동철
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 1989.11a
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    • pp.94-99
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    • 1989
  • This paper analyzes file stiffness, damping coefficient, friction force and flow coefficient of externally pressurized oil journal beating, including the effect of journal rotation according to the Sommerfeld number. This paper assumed that the oil in the whole pocket has constant pressure, and that the oil in the whole bearing region has constant viscosity, temperature and density. Reynolds equation is derived from Nuvier - Stokes equation and continuity equation. And solved bearing pressure by ADI method for whole bearing region and fitted with out flow rate of pocket region. The model for numerical simulation is hydro - static oil journal bearing for high-speed, high-accuracy lathe spindle.

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A Study on Contamination Sensitivity and Condition Monitoring for a Pump (펌프의 오염 민감도와 성능 감시에 대한 연구)

  • 이재천
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 1998.04a
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    • pp.124-130
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    • 1998
  • A mathematical model describing gear pump flow degradation in the presense of abrasive particles is presented. The model considers the operating parameters as Sommerfeld number, so that contamination sensitivity test results could be conversed to field application to predict contamination service life. A method to estimate the volumetric efficiency and the contamination level of a pump is proposed by measuring the temperature differences in the fluid. Test results show the validity of the theoretical establishments.

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Formulation of the Green's Functions for Coplanar Waveguide Microwave Devices as Genetic Algorithm-Based Complex Images

  • Han, DaJung;Lee, ChangHyeong;Kahng, Sungtek
    • Journal of Electrical Engineering and Technology
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    • v.12 no.4
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    • pp.1600-1604
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    • 2017
  • A new Complex Image Method based on Genetic Algorithm (GA) is proposed to calculate the Green's functions of CPW (coplanar waveguide)-type microwave components and antennas. The closed-forms of the spectral-domain integrals are obtained by the GA, avoiding the conventional procedures of the tedious linear algebra and the sampling conditions sensitive to the complex-variable sampling paths adopted in the Prony's and GPOF methods. The proposed method is compared with the numerical Sommerfeld Integral, which results in good agreement.

Multidimetional Uniform Semiclassical (WKB) Solutions for Nonseparable Problems (다차원 비분리계의 균일준고전적 해법)

  • Byung C. Eu
    • Journal of the Korean Chemical Society
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    • v.22 no.4
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    • pp.202-220
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    • 1978
  • Uniform semiclassical (WKB) solutions are obtained for nonseparable systems without using a close coupling formalism and are given explicitly in terms of well known analytic functions for various physically interesting and realistic cases. They do not become singular at turning points or surfaces and when taken in their asymptotic forms, they reduce to the usual WKB solutions that could be obtained if the Stokes phenomenon was properly taken care of for solutions. In obtaining such uniform solutions, the Schroedinger equations for nonseparable systems are suitably "renormalized" to solvable "normal" forms through certain transformations. Ehrenfest's adiabatic principle plays an important guiding role for obtaining such "renormalized" uniform solutions for nonseparable systems. The eigenvalues of the Hamiltonian can be calculated from the extended Bohr-Sommerfeld quantization rules when appropriate classical trajectories are obtained. An application is made to many-electron systems and for one of the simplest examples to show the utility of the method the approximate wavefunction is calculated of the ground state helium atom.

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