DOI QR코드

DOI QR Code

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 (Department of Electronic Information and Communication Engineering, Hongik University) ;
  • Kwon, Soon-Gu (Department of Electronic Information and Communication Engineering, Hongik University) ;
  • Oh, Yi-Sok (Department of Electronic Information and Communication Engineering, Hongik University)
  • 황지환 (홍익대학교 전자정보통신공학과) ;
  • 권순구 (홍익대학교 전자정보통신공학과) ;
  • 오이석 (홍익대학교 전자정보통신공학과)
  • Received : 2011.11.22
  • Accepted : 2012.01.11
  • Published : 2012.04.30

Abstract

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.

본 논문에서는 3차원 공간의 전자파 수치 해석을 위한 모멘트법(method of moments)의 개선된 해석 기법을 선보인다. 전자파 산란 특성을 해석하기 위해 기본적으로 EFIE(Electric Field Integral Equation)와 RWG(Rao-Wilton-Glisson) 기저 함수를 이용하였으며, 계산 효율을 높이기 위해 기존의 갤러킨(Galerkin) 기법과 중심점 보간(interpolation)법을 혼용하여 해석 시간을 단축시켰다. 이때, 계산 정확도 유지를 위해 임피던스 행렬의 각 원소간 거리를 상대 거리 지수로 정의하여 보간법 적용이 가능한 먼 거리 원소를 구분하였다. 제안된 해석 기법의 성능 검증은 금속구의 Mie-series 해법을 이용한 이론적 RCS(Radar Cross Section)를 비교/분석하였다. 또한, 본 연구 결과를 삼면-/전방향- 전파반사기와 같은 산란체에 적용하여 레이더 후방 산란 특성을 분석하였다.

Keywords

References

  1. S. Rao, D. Wilton, and A. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape", IEEE Trans. Antennas Propagat., vol. 30, pp. 409-418, May 1982. https://doi.org/10.1109/TAP.1982.1142818
  2. Yisok Oh, Young-Mi Jang, and K. Sarabandi, "Fullwave analysis of microwave scattering from short vegetation: an investigation on the effect of multiple scattering", IEEE Trans. Geosci. Remote Sensing, vol. 40, no. 11, pp. 2522-2526, Nov. 2002. https://doi.org/10.1109/TGRS.2002.805085
  3. K. Umashankar, A. Taflove, and S. Rao, "Electromagnetic scattering by arbitrary shaped three-dimensional homogeneous lossy dielectric objects", IEEE Trans. Antennas Propagat., vol. AP-34, no. 6, pp. 758-766, Jun. 1986.
  4. Walton C. Gibson, The Method of Moments in Electromagnetics, Chapman & Hall/CRC, pp. 161-207, 2008.
  5. C. A. Balanis, Advanced Engineering Electromagnetics, Wiley, pp. 670-732, 1989.
  6. Sergey N. Makarov, Antenna and EM Modeling with MATLAB, Wiley, pp. 11-37, 2002.
  7. G. T. Ruck, D. E. Barrick, W. D. Stuart, and C. K. Krichbaum, Radar Cross Section Handbook, Plenum press, pp. 141-159, 1970.
  8. P. C. Hammer, O. J. Marlowe, and A. H. Stroud, "Numerical integration over simplexes and cones", Math. Tabl. Natn. Res. Coun. Wash., pp. 130-137, 1956.
  9. John L. Volakis, "Quadrature rules for numerical integration over triangles and tetrahedra", IEEE Antennas Propagat. Magazine, vol. 38, pp. 100-102, Jun 1996. https://doi.org/10.1109/74.511963
  10. D. Wilton, S. Rao, A. Glisson, D. H. Schaubert, O. M. Al-Bundak, and C. M. Butler, "Potential integrals for uniform and linear source distributions on polygonal and polyhedral domain", IEEE Trans. Antennas Propagat., vol. AP-32, no. 3, pp. 276-281, Mar. 1984.
  11. T. F. Eibert, V. Hansen, "On the calculation of potential integrals for linear source distributions on triangular domains", IEEE Trans. Antennas Propagat., vol. 43, no. 12, pp. 1499-1502, Dec. 1995. https://doi.org/10.1109/8.475946
  12. Yakov Kamen, Leon Shirman, "Triangle rendering using adaptive subdivision", IEEE Computer Graphics and Applications, pp. 95-103, Mar./ Apr. 1998.
  13. Pascal Jean Frey, Paul-Louis George, Mesh Generation, Wiley, pp. 45-94, 2008.

Cited by

  1. Edge-Effect Reduction Technique to Compute the Backscattering from Randomly Rough Conducting Surfaces vol.25, pp.5, 2014, https://doi.org/10.5515/KJKIEES.2014.25.5.585