• Title/Summary/Keyword: Method of Moments(MoM)

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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.

Prediction of Stand Volume and Carbon Stock for Quercus variabilis Using Weibull Distribution Model (Weibull 분포 모형을 이용한 굴참나무 임분 재적 및 탄소저장량 추정)

  • Son, Yeong Mo;Pyo, Jung Kee;Kim, So Won;Lee, Kyeong Hak
    • Journal of Korean Society of Forest Science
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    • v.101 no.4
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    • pp.599-605
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    • 2012
  • The purpose of this study is to estimate diameter distribution, volume per hectare, and carbon stock for Quercus variabilis stand. 354 Quercus variabilis stands were selected on the basis of age and structure, the data and samples for these stands are collected. For the prediction of diameter distribution, Weibull model was applied and for the estimation of the parameters, a simplified method-of-moments was applied. To verify the accuracy of estimates, models were developed using 80% of the total data and validation was done on the remaining 20%. For the verification of the model, the fitness index, the root mean square error, and Kolmogorov-Smirnov statistics were used. The fitness index of the site index, height, and volume equation estimated from verification procedure were 0.967, 0.727, and 0.988 respectively and the root mean square error were 2.763, 1.817, and 0.007 respectively. The Kolmogorov-Smirnov test applied to Weibull function resulted in 75%. From the models developed in this research, the estimated volume and above-ground carbon stock were derived as $188.69m^3/ha$, 90.30 tC/ha when site index and stem number of 50-years-old Quercus variabilis stand show 14 and 697 respectively. The results obtained from this study may provide useful information about the growth of broad-leaf species and prediction of carbon stock for Quercus variabilis stand.

Approximate Method of Transmission Lines Crossing a Rectangular Aperture in a Backplane (백 플레인의 사각형 개구를 관통하는 전송 선로의 근사 해석법)

  • Jung, Sung-Woo;Choi, Beom-Jin;Choi, Bong-Yeol;Kim, Ki-Chai
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.21 no.9
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    • pp.1056-1064
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    • 2010
  • This paper presents the approximate analysis method for the symmetric transmission line crossing the aperture in an backplane. The method of moments is used to determine the aperture impedance for the construction of the equivalent transmission line that the aperture impedance apply to the transmission line as the shunt impedance. As the results, the insertion loss increases at the specific frequency range for the impedance matching. In the case of the mismatching, we are confirmed to the insertion gain at the specific frequency. Also the horizontal length of the aperture affects to the transmission line better than vertical length. The measurement of the insertion loss is performed to verify the theoretical analysis.

Crystallographic and Magnetic Properties of Co, Zn, Ni-Zn Substituted Nano-size Manganese Ferrites Synthesized by Sol-gel Method

  • Noh, Kwang Mo;Lee, Young Bae;Kwon, Woo Hyun;Kang, Jeoung Yun;Choi, Won-Ok;Chae, Kwang Pyo
    • Journal of Magnetics
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    • v.21 no.3
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    • pp.308-314
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    • 2016
  • Cobalt-, zinc-, and nickel-zinc-substituted nano-size manganese ferrite powders, $MnFe_2O_4$, $Mn_{0.8}Co_{0.2}Fe_2O_4$, $Mn_{0.8}Zn_{0.2}Fe_2O_4$ and $Mn_{0.8}Ni_{0.1}Zn_{0.1}Fe_2O_4$, were fabricated using a sol-gel method, and their crystallographic and magnetic properties were subsequently studied. The $MnFe_2O_4$ ferrite powder annealed at temperatures above 523 K exhibited a spinel structure, and the particle size increased as the annealing temperature increased. All ferrites annealed at 773 K showed a single spinel structure, and the lattice constants and particle size decreased with the substitution of Co, Zn, and Ni-Zn. The $M{\ddot{o}}ssbauer$ spectrum of the $MnFe_2O_4$ ferrite powder annealed at 523 K only showed a doublet due to its superparamagnetic phase, and the $M{\ddot{o}}ssbauer$ spectra of the $MnFe_2O_4$, $Mn_{0.8}Co_{0.2}Fe_2O_4$, and $Mn_{0.8}Zn_{0.2}Fe_2O_4$ ferrite powders annealed at 773 K could be fitted as the superposition of two Zeeman sextets due to the tetrahedral and octahedral sites of the $Fe^{3+}$ ions. However, the $M{\ddot{o}}ssbauer$ spectrum of the $Mn_{0.8}Ni_{0.1}Zn_{0.1}Fe_2O_4$ ferrite powder annealed at 773 K consisted of two Zeeman sextets and one quadrupole doublet due to its ferrimagnetic and paramagnetic behavior. The area ratio of the $M{\ddot{o}}ssbauer$ spectra could be used to determine the cation distribution equation, and we also explained the variation in the $M{\ddot{o}}ssbauer$ parameters by using this cation distribution equation, the superexchange interaction and the particle size. Relative to pure $MnFe_2O_4$, the saturation magnetizations and coercivities were larger in $Mn_{0.8}Co_{0.2}Fe_2O_4$ and smaller in $Mn_{0.8}Zn_{0.2}Fe_2O_4$, and $Mn_{0.8}Ni_{0.1}Zn_{0.1}Fe_2O_4$. These variations could be explained using the site distribution equations, particle sizes and magnetic moments of the substituted ions.

Analysis of E-polarized Plane Wave Scattering by a Tapered Resistive Strip Grating in a Grounded Double Dielectric Layer (접지된 2중 유전체 사이의 저항 띠 격자 구조에 의한 E-분극 전자파 산란 해석)

  • Tchoi, Young-Sun;Yang, Seung-In
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.18 no.6 s.121
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    • pp.656-663
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    • 2007
  • In this paper, when a E-polarized plane wave is incident on the grating consisting of tapered resistive strips, electromagnetic scattering is analyzed using the method of moments(MoM). The induced current density of each resistive strip in a grounded double dielectric layer is expected to blow up at both edges. To satisfy this, the induced surface current density is expanded in a series of Chebyshev polynomials of the second kind. The scattered electromagnetic fields are expanded in a series of Floquet mode functions. The boundary conditions are applied to obtain the unknown current coefficients. According to the variation of the involving parameters such as strip width and spacing and angle of the incident field, numerical simulations are performed by applying the Fourier-Galerkin moment method. The numerical results of the normalized reflected power for resistive strips case for several resistivities are obtained.

2D Microwave Image Reconstruction of Breast Cancer Detection for Breast Types (유방 조직형태에 따른 유방암 진단 2차원 마이크로파 영상복원)

  • Kim, Ki-Chai;Kim, Tae-Hong;Lee, Jong-Moon;Jeon, Soon-Ik;Pack, Jeong-Ki
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.27 no.7
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    • pp.646-652
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    • 2016
  • This paper presents a tumor detection for breast cancer that utilizes two-dimensional(2D) image reconstruction with microwave tomographic imaging. The breast cancer detection system under development consists of 16 transmit/receive antennas, and the microwave tomography system operates at 1,700 MHz. The four types of breast(ED-, HD-, SC-, and FT-type) are used for image reconstruction. To solve a 2D inverse scattering problem, the method of moments(MoM) is employed for forward problem solving, and the simplex method employed as an optimization algorithm. The results of the reconstructed image show that the ED- and HD-types of breasts are well reconstructed, but SC- and FT-type breasts are not well because of the error including.

Development of a V-band Rotman Lens Using Thin-Film Dielectric (Thin-Film Dielectric을 이용한 V-band Rotman Lens의 개발)

  • Lee, Jang-Soo;Park, Sang-Bok;Lee, Dong-Kyu;Song, Saeng-Seob;Lee, Sang-Hyo;So, Joon-Ho;Kwon, Young-Woo;Seo, Kwang-Seok;Cheon, Chang-Yul
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.17 no.11 s.114
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    • pp.1073-1081
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    • 2006
  • In this paper, a phased array antenna based on thin-film dielectric technology at 60 GHz is designed. In order to reduce dividing/combining loss and avoid high loss of phase shifters, Rotman Lens has been employed as a feeder of antenna. The lens has 3 beam ports and 5 array ports with 2 dummy ports. The simulation for the design was performed by simulator using MoM(method of moments). The measured results of fabricated lens show magnitude deviation less than ${\pm}2dB$ and phase aberration less than ${\pm}5^{\circ}$ over $58{\sim}62GHz$. The antenna shows ${\pm}7^{\circ}$ of scan angles.

A Study on the Resonant Transmission through a Ridge-Loaded Small Circular Aperture (리지가 장하된 소형 원형 개구의 공진 투과에 관한 연구)

  • Ko, Ji-Hwan;Cho, Young-Ki;Yeo, Jun-Ho;Lee, Jong-Ig
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.22 no.6
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    • pp.654-660
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    • 2011
  • In this paper, the electromagnetic wave transmission through a ridge-loaded small circular aperture is considered. The transmission problem when a plane wave is normally incident on the aperture in an infinite conducting plane is solved by a method of moments(MoM). From the results for the transmitted power and the patterns of radiation from the aperture, the transmission characteristics of a small sub-wavelength circular aperture, a ridge-loaded circular aperture, and a half wavelength slot are compared. In addition, the theoretical study is verified through the experiments for the apertures fabricated on an Flexible Printed Circuit Board(FPCB), which shows fairly good agreements with the simulated results.