Transient Analysis of Electromagnetic Scattering From Dielectric Objects Using Time-Domain Magnetic Field Integral Equation

시간영역 자장 적분방정식을 이용한 유전체의 전자파 산란 과도해석

  • 서정훈 (호서대 정보통신공학과) ;
  • 정백호 (호서대 전기정보통신공학부) ;
  • 한상호 (호서대 정보통신응용기술학과) ;
  • 안현수 (호서대 정보통신응용기술학과)
  • Published : 2003.09.01

Abstract

In this Paper, we propose a time-domain magnetic field integral equation (TD-MFIE) formulation for analyzing the transient electromagnetic response from three-dimensional (3-D) dielectric bodies. The solution method in this paper is based on the Galerkin's method that involves separate spatial and temporal testing procedures. Triangular patch basis functions are used for spatial expansion and testing functions for arbitrarily shaped 3-D dielectric structures. The time-domain unknown coefficients of the equivalent electric and magnetic currents are approximated tv a set of orthonormal basis function that is derived from the Laguerre polynomials. These basis functions are also used for the temporal testing. Numerical results computed by the proposed method are presented and compared.

Keywords

References

  1. S. M. Rao, Time Domain Electromagnetics, Academic Press, 1999
  2. D. A. Vechinski, S. M. Rao, and T. K. Sarkar, 'Transient scattering from three-dimensional arbitrary shaped dielectric bodies,' J. Opt. Soc. Amer., vol. 11, no. 4, pp. 1458-1470, April 1994 https://doi.org/10.1364/JOSAA.11.001458
  3. S. M. Rao and T. K. Sarkar, 'Implicit solution of time-domain integral equations for arbitrarily shaped dielectric bodies,' Microwave Opt. Technol. Lett., vol. 21, No. 3, pp. 201-205, May 1999 https://doi.org/10.1002/(SICI)1098-2760(19990505)21:3<201::AID-MOP13>3.0.CO;2-1
  4. T. K. Sarkar, W. Lee, and S. M. Rao, 'Analysis of transient scattering from composite arbitrarily shaped complex structures,' IEEE Trans. Antennas Propagat., vol. 48, no. 10, pp. 1625-1634, Oct. 2000 https://doi.org/10.1109/8.899679
  5. B. H. Jung and T. K. Sarkar, 'Time-domain electric-field integral equation with central finite difference,' Microwave Opt. Technol. Lett., vol. 31, no. 6, pp. 429-435, Dec. 2001 https://doi.org/10.1002/mop.10055
  6. B. H. Jung and T. K. Sarkar, 'Transient scattering from three-dimensional conducting bodies by using magnetic field integral equation,' J. of Electromagn Waves and Applicat, vol. 16, no. 1, pp. 111-128, Jan. 2002 https://doi.org/10.1163/156939302X01371
  7. 정백호, 정용식, '가중 라게르 다항식과 전장적분식을 이용한 도체의 과도 산란 해석,' 한국전자파학회 논문지, 제 13권, 제 9호, pp. 937-946, 2002. 10
  8. Y. S. Chung, T. K. Sarkar, and B. H. Jung, 'Solution of a time-domain magnetic-field integral equation for arbitrarily closed conducting bodies using an unconditionally stable methodology,' Microwave Opt. Technol. Lett., vol. 35, no. 6, pp. 493-499, Dec. 20. 2002 https://doi.org/10.1002/mop.10647
  9. 정백호, 정용식, '라게르 함수를 시간영역 전개함수로 이용한 자장 적분방정식의 과도 응답,' 대한전기학회 논문지, 제 52C권, 제 4호, pp. 185-191, 2003. 4
  10. S. M. Rao, D. R. Wilton, and A. W. Glisson, 'Electromagnetic scattering by surfaces of arbitrary shape,' IEEE Trans. Antennas Propagat., vol. 30, no. 3 pp. 409-418, May 1982 https://doi.org/10.1109/TAP.1982.1142818
  11. T. K. Sarkar, S. M. Rao, and A. R. Djordjevic, 'Electromagnetic scattering and radiation from finite microstrip structures,' IEEE Trans. Microwave Theory Tech., vol. 38, no. 11, pp. 1568-1575, Nov. 1990 https://doi.org/10.1109/22.60001
  12. B. H. Jung, T. K. Sarkar, and Y. S. Chung, 'A survey of frequency domain integral equations for the analysis of scattering from three-dimensional delectric objects,' J. of Electromagn. Waves and Applicat., vol. 16, no. 10, pp. 1419-1421, Oct. 2002 https://doi.org/10.1163/156939302X00057
  13. A. D. Poularikas, The Transforms and Applications Handbook, IEEE Press, 1996