• Title/Summary/Keyword: MLFMM

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Computational Complexity of BiCGstab(l) in Multi-Level Fast Multipole Method(MLFMM) and Efficient Choice of l (MLFMM(Multi-Level Fast Multipole Method) 방법에 적용된 BiCGstab(l)반복법의 l값에 따른 연산량 분석 및 효율적인 l값)

  • Lee, Hyunsoo;Rim, Jae-Won;Koh, Il-Suek;Seo, Seung-Mo
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.29 no.3
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    • pp.167-170
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    • 2018
  • The method of moments(MoM) is one of the most popular integral-equation-based full-wave simulation methods, and the multi-level fast multipole method(MLFMM) algorithm can be used for its efficient calculation. When calculating the surface current on the large scatterer in the MoM or MLFMM, iterative methods for the final matrix inversion are used. Among them, BiCGstab(l) has been widely adopted due to its good convergence rate. The number of iterations can be reduced when l becomes larger, but the number of operations per iteration is increased. Herein, we analyze the computational complexity of BiCGstab(l) in the MLFMM method and propose an optimum choice of l.

Modified SDIE MLFMM Method for Inhomogeneous Impedance Material Containing PEC or PMC Region (PEC 또는 PMC 영역을 포함하는 불균일 임피던스 매질의 산란 해석을 위한 수정된 SDIE MLFMM 방법)

  • Lee, Hyunsoo;Koh, Il-Suek;Yoo, Ji Hee
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.29 no.10
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    • pp.805-810
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    • 2018
  • A coated perfect electric conductor(PEC) interface to reduce scattered fields can be efficiently modeled by using the impedance boundary condition. The self-dual integral equation(SDIE) proposed by Yan et al. may be an efficient multi-level fast multipole method (MLFMM) formulation for the impedance object. This equation can be applied to an inhomogeneous impedance material, but its accuracy can be degenerated when the material contains a PEC or perfect magnetic conductor(PMC) region. In this paper, we modify the original SDIE formulation for an inhomogeneous object containing a PEC or PMC region and numerically verify its accuracy.

Over-Sampling Rate for Accurate Evaluation of MLFMM Transfer Function (MLFMM의 Transfer 함수의 정확한 계산을 위한 오버샘플링 비율)

  • Lee, Hyunsoo;Rim, Jae-Won;Koh, Il-Suek
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.29 no.10
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    • pp.811-816
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    • 2018
  • When applying the MLFMM algorithm to a large scattering problem, the accuracy of the calculation of the transfer function has a crucial effect on the final simulation results. The numerical accuracy for the double integral on the unit sphere is strongly dependent on the sampling number. With an increasing the sampling points, the overall required memory and running time of the MLFMM simulation also increases. Hence, an optimal over-sampling rate for the number of the sampling points is numerically obtained, which is verified for a real large scattering problem.

An Analysis of Instrumentation Radar's Beacon Tracking Performance Considering a Target Attitude (표적의 자세 변화를 고려한 계측 레이더의 비콘 추적 성능 분석)

  • Ryu, Chung-Ho;Ye, Sung-Hyuck;Hwang, Gyu-Hwan;Seo, Il-Hwan
    • Journal of the Korea Institute of Military Science and Technology
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    • v.13 no.4
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    • pp.561-568
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    • 2010
  • Instrumentation radar in a test range has an important role to measure target's TSPI(time, space, position, information). It is well known that it tracks a target stably using a beacon mode. But it may fail to track a target in a certain region using a beacon mode. In this paper, we modeled a simple missile shape similar to ATCMS with two beacon antenna and analyzed an antenna radiation pattern using MLFMM(Multi Level Fast Multipole Method) method. Using the analyzed result of the radiation pattern of the antenna and the attitude data of target, we simulated beacon tracking performance of an instrumentation radar. As a result of simulation, we showed that an instrumentation radar may lose the target because it tracks a area of the beacon antenna pattern.

Design of Ka-band Feed Horn and Cassegrain Antenna (Ka-band 대역의 급전 혼과 카셋그레인 안테나 개발)

  • Ahn, Seung-Beom;Choo, Ho-Sung;Kang, Jin-Seob
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.18 no.8
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    • pp.943-953
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    • 2007
  • In this paper, we propose a Cassegrain antenna with a scalar feed horn opt rating in Ka-band. For an effective EM simulation of the Cassegrain antenna, the near-field of the feed hone is used ai the equivalent source of the Cassegrain antenna using the surface equivalent theorem. A corrugated circular horn operating with $HE_{11}$ mode is used as the feed horn. The angle and feed center of the main and sub reflectors are optimized to achieve maximum antenna efficiency. The designed feed horn shows the gain of 19dBi, the side-lobe level of less than -25dB and the half power beam width of $20^{\circ}$ at 33 GHz. The Cassegrain antenna shows the gain of 41dBi, the efficiency of 60%, the side-lobe level of less than -20dB and the half power beam width of $1.2^{\circ}$.