• Title/Summary/Keyword: Generalized scattering method

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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.

Design of Waveguide Bandpass Filters Using H-plane Step Discontinuities (도파관 H 면 계단형 불연속 구조를 이용한 대이동과 여파기의 설계)

  • Nam, S.H.;Kim, K.Y.;Yun, S.W.;Ann, C.
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.31A no.1
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    • pp.33-38
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    • 1994
  • In this paper, waveguide banpass filters using H-plane step discontinuities are designed based on the field theory analysis and optimization of the resonator lengths as well as dimensions of discontinuities, instead of the conventional synthesis method based on the equivalent circuit. The waveguide inductive obstacles introduced by H-plane step discontinuities analyzed using mode-matching method and the generalized scattering parameters are derived. Using the derived scattering parameters of the discontinuities as well as those of resonators, waveguide bandpass filters are designed through optimization method, modified Razor search method proposed by J.H.Bandler. Using this design procedures, waveguide bandpass filters are designed and tested at X-band(center frequency 10GHz) as well as Ka-band(center frequency 35GHz).

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Multilevel acceleration of scattering-source iterations with application to electron transport

  • Drumm, Clif;Fan, Wesley
    • Nuclear Engineering and Technology
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    • v.49 no.6
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    • pp.1114-1124
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    • 2017
  • Acceleration/preconditioning strategies available in the SCEPTRE radiation transport code are described. A flexible transport synthetic acceleration (TSA) algorithm that uses a low-order discrete-ordinates ($S_N$) or spherical-harmonics ($P_N$) solve to accelerate convergence of a high-order $S_N$ source-iteration (SI) solve is described. Convergence of the low-order solves can be further accelerated by applying off-the-shelf incomplete-factorization or algebraic-multigrid methods. Also available is an algorithm that uses a generalized minimum residual (GMRES) iterative method rather than SI for convergence, using a parallel sweep-based solver to build up a Krylov subspace. TSA has been applied as a preconditioner to accelerate the convergence of the GMRES iterations. The methods are applied to several problems involving electron transport and problems with artificial cross sections with large scattering ratios. These methods were compared and evaluated by considering material discontinuities and scattering anisotropy. Observed accelerations obtained are highly problem dependent, but speedup factors around 10 have been observed in typical applications.

3D Generalized Langevin Equation (GLE) Approach to Gas-Surface Energy Transfer : Model H + H → $H_2/Si(100)-(2*1)$

  • Youxiang Zhang;Park, Seung Cheol
    • Bulletin of the Korean Chemical Society
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    • v.21 no.11
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    • pp.1095-1100
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    • 2000
  • we have proposed a three-dimensional GLE approach to gas-surface reactive scattering, model H + H $${\rightarrow}$H_2/Si(100)-(2$ ${\times}$1) system, and the implementation of 3D GLE method on the hydrogen on silicon surface has been presented. The formalism and algori thm of the 3D GLE are worked properly in the reactive scattering system. The calculated normal mode frequencies of surface vibrations were almost identical to previous harmonic slab calculations. The reaction probabilities were calculated for two energies. The calculations show that a very large amount of energy is transferred in surface in low energy scattering. Three different types of reaction mechanisms has been observed, which can not be shown in flat and rigid surface models. Further work on the reaction mechanisms and calculations of the vibrational and rotation distributions of products is in progress. The results will be reported elsewhere soon.

The Effect of Second Order Refraction on Optical Bubble Sizing in Multiphase Flows

  • Qiu, Huihe;Hsu, Chin-Tsau;Liu, Wei
    • Journal of Mechanical Science and Technology
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    • v.15 no.12
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    • pp.1801-1807
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    • 2001
  • In multiphase flne the bubble size and velocity. To achieve this, one of approaches is to utilize laser phase-Doppler anemometry. However, it was found that the second order refraction has great impact on PDA sizing method when the relative refractive index of media is less than one. In this paper, the problem of second order refraction is investigated and a model of phase-size correlation to eliminate the measurement errors is introduced for bubble sizing. As a result, the model relates the assumption of single scattering mechanism in conventional phase-Doppler anemometry. The results of simulations based on this new model by using Generalized Lorenz Mie Theory (GLMT) are compared with those based on the conventional method. An optimization method for accurately sizing air-bubble in water has been suggested.

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Recent developments in the GENESIS code based on the Legendre polynomial expansion of angular flux method

  • Yamamoto, Akio;Giho, Akinori;Endo, Tomohiro
    • Nuclear Engineering and Technology
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    • v.49 no.6
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    • pp.1143-1156
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    • 2017
  • This paper describes recent development activities of the GENESIS code, which is a transport code for heterogeneous three-dimensional geometry, focusing on applications to reactor core analysis. For the treatment of anisotropic scattering, the concept of the simplified Pn method is introduced in order to reduce storage of flux moments. The accuracy of the present method is verified through a benchmark problem. Next, the iteration stability of the GENESIS code for the highly voided condition, which would appear in a severe accident (e.g., design extension) conditions, is discussed. The efficiencies of the coarse mesh finite difference and generalized coarse mesh rebalance acceleration methods are verified with various stabilization techniques. Use of the effective diffusion coefficient and the artificial grid diffusion coefficients are found to be effective to stabilize the acceleration calculation in highly voided conditions.

NUMERICAL METHDS USING TRUST-REGION APPROACH FOR SOLVING NONLINEAR ILL-POSED PROBLEMS

  • Kim, Sun-Young
    • Communications of the Korean Mathematical Society
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    • v.11 no.4
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    • pp.1147-1157
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    • 1996
  • Nonlinear ill-posed problems arise in many application including parameter estimation and inverse scattering. We introduce a least squares regularization method to solve nonlinear ill-posed problems with constraints robustly and efficiently. The regularization method uses Trust-Region approach to handle the constraints on variables. The Generalized Cross Validation is used to choose the regularization parameter in computational tests. Numerical results are given to exhibit faster convergence of the method over other methods.

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Propagation Characteristics of Rectangular Waveguide with Elliptical Conducting Post (타원형 금속봉이 있는 구형 도파관의 전파특성)

  • Kim, Won-Ki;Lee, Chang-On;Kim, Sang-Tae;Sul, Yong-Tae
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.4A
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    • pp.256-266
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    • 2003
  • In this paper, scattering characteristics of the rectangular waveguide with elliptical conducting post and equivalent impedance of post are analyzed by mode matching method and generalized scattering method. The scattcring characteristics of rectangular waveguide are varied by the height and eccentricity of elliptical conducting post. When the height of post(2.54mm, 4mm) is small, variation in scattering characteristics appears in total simulated frequency. But as the height of post(7.62mm, 9mm) is increased, it is dominant in higher frequency. The simulated result shows good agreement with the HFSS's result. Proposed structure and analysis method are easily applied to the design and manufacture of waveguide component with elliptical conducting post.

An Analytic Solution of a Circular Aperture Antenna with a Feed Transition (급전부에 전이 구조가 있는 원형 개구면 안테나의 엄밀한 해석 방법)

  • Lee Haeng-Seon
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.16 no.10 s.101
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    • pp.982-988
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    • 2005
  • An analytic solution of circular aperture antenna with a feed transition is presented using a hybrid method of generalized scattering matrices and integral transform. The method can give an analytic solution to antennas with integrated filters or mode converters, etc. Scattering matrices and integral transform techniques are combined to accommodate discontinuities connected between an aperture and a feed waveguide, and radiated field from the aperture. The method gives radiation fields as well as return losses of the antenna.

Numerical Investigation of Multi-body Wave Energy Converters' Configuration

  • Heo, Kyeonguk;Choi, Yoon-Rak
    • Journal of Ocean Engineering and Technology
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    • v.36 no.2
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    • pp.132-142
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    • 2022
  • We investigate the performance of multi-body wave energy converters (WECs). This investigation considers multiple scattering of water waves by the buoys of a WEC under the generalized mode approach. Predominantly, the effect of a WEC's configuration on its energy extraction is studied in this research. First, single-row terminator and single-column attenuator arrays of vertical cylinders have been studied. The performance of these attenuator arrays shows that the wall effect induced by the periodic buoys influences the wave propagation and energy extraction in these WECs. Further studies show that a single-row terminator array of vertical cylinders performs better than the corresponding single-column attenuator array. Subsequently, multi-row terminator arrays of vertical cylinders are investigated by conducting a parametric study. This parametric study shows that the hydrodynamic property of three resonance phenomena makes energy extraction efficiency drop down, and the magnitude of energy extracted oscillates between the resonance points in these WECs. Finally, a 4×8 terminator array of vertical cylinders is studied to determine the effect of various dx (x-directional distance between adjacent rows) within this WEC on its performance. In particular, this study enforces at least two equal dx values within the 4×8 terminator array of vertical cylinders. It shows that a small value of this dx leads to better energy extraction efficiency in some of these various dx arrays than that of a corresponding regular array with the same dx.