• Title/Summary/Keyword: RWG Basis

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Plane Wave Scattering Induced Resonant Modes of Spherical Resonator (구형태 공진기에서의 평면파 산란 공진모드)

  • Yoo, Hyoungsuk
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.62 no.9
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    • pp.1260-1263
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    • 2013
  • Plane wave scattering from a spherical resonator is calculated by solving the combined field integral equation (CFIE) with Rao-Wilton-Glisson (RWG) basis functions and the moment method. The calculations show that magnetic and electric dipoles are found at resonant modes. These characteristics are confirmed by radiation patterns in the far field region. In addition, an analysis of a magnetodielectric sphere is discussed.

A Study for Improving Computational Efficiency in Method of Moments with Loop-Star Basis Functions and Preconditioner (루프-스타(Loop-Star) 기저 함수와 전제 조건(Preconditioner)을 이용한 모멘트법의 계산 효율 향상에 대한 연구)

  • Yeom, Jae-Hyun;Park, Hyeon-Gyu;Lee, Hyun-Suck;Chin, Hui-Cheol;Kim, Hyo-Tae;Kim, Kyung-Tae
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.23 no.2
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    • pp.169-176
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    • 2012
  • This paper uses loop-star basis functions to overcome the low frequency breakdown problem in method of moments (MoM) based on electric field integral equation(EFIE). In addition, p-Type Multiplicative Schwarz preconditioner (p-MUS) technique is employed to reduce the number of iterations required for the conjugate gradient method(CGM). Low frequency instability with Rao Wilton Glisson(RWG) basis functions in EFIE can be resolved using loop-start basis functions and frequency normalized techniques. However, loop-star basis functions, consisting of irrotational and solenoidal components of RWG basis functions, require a large number of iterations to calculate a solution through iterative methods, such as conjugate gradient method(CGM), due to high condition number. To circumvent this problem, in this paper, the pMUS preconditioner technique is proposed to reduce the number of iterations in CGM. Simulation results show that pMUS preconditioner is much faster than block diagonal preconditioner(BDP) when the sparsity of pMUS is the same as that of BDP.

Improved Method of Moments Using Hybrid Technique of Galerkin's and Interpolation Methods for Numerical Analysis of Electromagnetic Waves (전자파 수치 해석을 위해 갤러킨 기법과 보간법을 혼용하여 개선시킨 모멘트법)

  • Hwang, Ji-Hwan;Kwon, Soon-Gu;Oh, Yi-Sok
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.23 no.4
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    • pp.541-550
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    • 2012
  • An improved method of moments using a hybrid Galerkin-interpolation technique for numerical analysis of electromagnetic wave scattering in the 3-dimensional space is presented in this paper. Basically, the EFIE(electric field integral equation) and RWG(Rao-Wilton-Glisson) basis function are used to compute a property of electromagnetic wave scattering. We propose a hybrid technique combining the existing Galerkin's method with the interpolation method to improve the efficiency of the numerical computation. Then, an index of relative distance of each cells was defined to distinguish the relatively far elements, which interpolation method can be applied. To verify the performance of the proposed technique, the analytical Mie-series solution was used to compute the theoretical RCS of a conducting sphere for the purpose of comparison. We also applied this hybrid technique to various scatterers such as trihedral/omni-directional corner-reflectors to analyze the radar backscattering properties.

TD-CFIE Formulation for Transient Electromagnetic Scattering from 3-D Dielectric Objects

  • Lee, Young-Hwan;Jung, Baek-Ho;Sarkar, Tapan K.;Yuan, Mengtao;Ji, Zhong;Park, Seong-Ook
    • ETRI Journal
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    • v.29 no.1
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    • pp.8-17
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    • 2007
  • In this paper, we present a time domain combined field integral equation formulation (TD-CFIE) to analyze the transient electromagnetic response from dielectric objects. The solution method is based on the method of moments which involves separate spatial and temporal testing procedures. A set of the RWG functions is used for spatial expansion of the equivalent electric and magnetic current densities, and a combination of RWG and its orthogonal component is used for spatial testing. The time domain unknowns are approximated by a set of orthonormal basis functions derived from the Laguerre polynomials. These basis functions are also used for temporal testing. Use of this temporal expansion function characterizing the time variable makes it possible to handle the time derivative terms in the integral equation and decouples the space-time continuum in an analytic fashion. Numerical results computed by the proposed formulation are compared with the solutions of the frequency domain combined field integral equation.

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Time Domain Combined Field Integral Equation for Transient Electromagnetic Scattering from Dielectric Body (유전체의 전자기 과도산란 해석을 위한 시간영역 결합 적분방정식)

  • Kim Chung-Soo;An Hyun-Su;Park Jae-Kwon;Jung Baek-Ho
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.53 no.12
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    • pp.626-633
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    • 2004
  • In this paper, we present a time domain combined field integral equation (TD-CFIE) formulation to analyze the transient electromagnetic response from three-dimensional dielectric objects. The solution method in this paper is based on the method of moments (MoM) that involves separate spatial and temporal testing procedures. A set of the RWG (Rao, Wilton, Glisson) functions Is used for spatial expansion of the equivalent electric and magnetic current densities and a combination of RWG and its orthogonal component is used as spatial testing. We also investigate spatial testing procedures for the TD-CFIE to select the proper testing functions that are derived from the Laguerre polynomials. These basis functions are also used for temporal testing. Use of this temporal expansion function characterizing the time variable enables one to handle the time derivative terms in the integral equation and decouples the space-time continuum in an analytic fashion. Numerical results computed by the proposed formulation are presented and compared with the solutions of the frequency domain combined field integral equation (FD-CFIE).

Analysis of the current distributions on the planar objects (평판형 산란체에 대한 전류분포해석)

  • Oh, Jae-Hyun;Oh, Se-Jun;Ahn, Chang-Hoi
    • Proceedings of the KIEE Conference
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    • 2007.11a
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    • pp.136-137
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    • 2007
  • The emission of external incident field or near device field is important factor of EMI and EMC. In this paper, we apply MOM, using the RWG basis function, to analysis the induced current distribution on the PEC and dielectric plates. The volume and surface integral equations are presented for the electromagnetic wave scattering from plate structures composed of dielectric and conducting objects.

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Numerical Analysis of a Microstrip Antenna by 3-dimensional FMM (3차원 FMM을 이용한 마이크로스트립 안테나의 특성 해석)

  • Oh, Jae-Hyun;Jeon, Sang-Bong;Ahn, Chang-Hoi
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.268-269
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    • 2007
  • In this paper, we develop 3-dimensional FMM using the RWG basis function to simulate the plat-type antenna and reduce the computing time. To examine the efficiency of FMM algorithm, a scattering by a simple PEC plane is analysed and the correct current distribution is obtained. This 3-dimensional FMM is applied to analysis a microstrip antenna and shows good performance.

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Comparisons of RCS Characteristic of Spherical Frequency Selective Surfaces with FSS Element Arrangement (FSS 단위셀 배열구조에 따른 구형 주파수 선택 구조의 RCS 특성비교)

  • Hong, Ic-Pyo;Lee, In-Gon
    • Journal of IKEEE
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    • v.16 no.4
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    • pp.328-334
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    • 2012
  • In this paper, we analyzed the electromagnetic characteristics of the spherical frequency selective surface with different arrangement of crossed dipole slot elements for reducing the RCS(radar cross section). The three dimensional MOM(method of moment) with RWG basis is used to analyze the proposed structure. To reduce the simulation time, we applied the BiCGSTab(Biconjugate Gradient Stabilized) algorithm as an iterative method and presented the comparison results with Mie's theoretical results for PEC sphere to show the validity of this paper. From the simulation results, the different arrangement of elements array showed the difference RCS that cannot be negligible. The arrangement method of element in frequency selective surface will be one of variables for the design of curved frequency selective structures.

Angular Effect of Virtual Vertices Inserted to Treat The Boundary Edges on an Infinite Conducting Surface

  • Hwang, Ji-Hwan;Kweon, Soon-Koo;Oh, Yisok
    • Journal of electromagnetic engineering and science
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    • v.13 no.1
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    • pp.16-21
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    • 2013
  • This study presents the angular effects of virtual vertices inserted for effective treatment of the boundary edge laid on an infinite conducting surface in a half-space scattering problem. We investigated the angular effects of virtual vertices by first computing the radar cross section (RCS) of a specific scatterer; i.e., a tilted conducting plate in contact with the ground surface, by inserting the virtual vertex in half-space. Here, the electric field integral equation is used to solve this problem with various virtual vertex angles (${\theta}_{\nu}$) and conducting plate inclination angles (${\theta}_r$) ranging from $0^{\circ}$ to $180^{\circ}$. The effects of the angles ${\theta}_{\nu}$ and ${\theta}_r$ on the RCS computation are clearly shown with numerical results with and without the virtual vertices in free- and half-spaces.

Investigation of the Finite Planar Frequency Selective Surface with Defect Patterns

  • Hong, Ic-Pyo
    • Journal of Electrical Engineering and Technology
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    • v.9 no.4
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    • pp.1360-1364
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    • 2014
  • In this paper, RCS characteristics on defect pattern of crossed dipole slot FSS having a finite size have been analyzed. To analyze RCS, we applied the electric field integral equation analysis which applies BiCGSTab algorithm with iterative method and uses RWG basis function. To verify the validity of this paper, RCS of PEC sphere has been compared to the theoretical results and FSSs with defect patterns are fabricated and measured. As defect patterns in FSS, missing one column, missing some elements, and discontinuity in surfaces are simulated and compared with the measurement results. Resonant frequency shifts in pass band and changes in bandwidth are observed. From the results, precisely predicting and designing frequency characteristics over defect patterns are essential when applying FSS structures such as FSS radomes.