期刊论文详细信息
ETRI Journal
TD-CFIE Formulation for Transient Electromagnetic Scattering from 3-D Dielectric Objects
关键词: Laguerre polynomial;    CFIE;    dielectric;    electromagnetic scattering;    Transient;   
Others  :  1185593
DOI  :  10.4218/etrij.07.0106.0231
PDF
【 摘 要 】

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.

【 授权许可】

   

【 预 览 】
附件列表
Files Size Format View
20150520112659730.pdf 760KB PDF download
【 参考文献 】
  • [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, Apr. 1994, pp. 1458-1470.
  • [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, May 1999, pp. 201-205.
  • [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, Oct. 2000, pp. 1625-1634.
  • [5]B.H. Jung, T.K. Sarkar, Y.S. Chung, Z. Ji, and M. Salazar-Palma, "Analysis of Transient Electromagnetic Scattering from Dielectric Objects Using a Combined-Field Integral Equation," Microwave Opt. Technol. Lett., vol. 40, no. 6, Mar. 2004, pp. 476-481.
  • [6]X.Q. Sheng, J.M. Jin, J.M. Song, W.C. Chew, and C.C. Lu, "Solution of Combined-Field Integral Equation Using Multilevel Fast Multipole Algorithm for Scattering by Homogeneous Bodies," IEEE Trans. Antennas Propagat., vol. 46, no. 11, Nov. 1998, pp. 1718-1
  • [7]B.H. Jung, T.K. Sarkar, and Y.S. Chung, "A Survey of Various Frequency Domain Integral Equations for the Analysis of Scattering from Three-Dimensional Dielectric Objects," J. of Electromagn. Waves and Applicat., vol. 16. no. 10, 2002, pp. 1419-1421.
  • [8]B.H. Jung, Y.S. Chung, and T.K. Sarkar, "Time-Domain EFIE, MFIE, and CFIE Formulations Using Laguerre Polynomials as Temporal Basis Functions for the Analysis of Transient Scattering from Arbitrary Shaped Conducting Structures," J. of Electromagn. Waves
  • [9]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, May 1982, pp. 409-418.
  • [10]A.D. Poularikas, The Transforms and Applications Handbook, IEEE Press, 1996.
  • [11]S.M. Rao, Electromagnetic Scattering and Radiation of Arbitrarily Shaped Surfaces by Triangular Patch Modeling, PhD Dissertation, Univ. Mississippi, Aug. 1980.
  • [12]D.R. Wilton, S.M. Rao, A.W. Glisson, D.H. Schaubert, O.M. Al-Bundak, and C.M. Butler, "Potential Integrals for Uniform and Linear Source Distributions on Polygonal and Polyhedral Domains," IEEE Trans. Antennas Propagat., vol. 32, no. 3, Mar. 1984, pp. 27
  • [13]R.D. Graglia, "Static and Dynamic Potential Integrals for Linearly Varying Source Distributions in Two- and Three-Dimensional Problems," IEEE Trans. Antennas Propagat., vol. 35, no. 6, June 1987, pp. 662-669.
  • [14]S. Caorsi, D. Moreno, and F. Sidoti, "Theoretical and Numerical Treatment of Surface Integrals Involving the Free-Space Green’s Function," IEEE Trans. Antennas Propagat., vol. 41, no. 9, Sep. 1993, pp. 1296-1301.
  • [15]R.D. Graglia, "On the Numerical Integration of the Linear Shape Functions Times the 3-D Green’s Function or its Gradient on a Plane Triangle," IEEE Trans. Antennas Propagat., vol. 41, no. 10, Oct. 1993, pp. 1448-1455.
  • [16]T.F. Eibert and V. Hansen, "On the Calculation of Potential Integrals for Linear Source Distributions on Triangular Domains," IEEE Trans. Antennas Propagat., vol. 43, no. 12, Dec. 1995, pp. 1499-1502.
  • [17]R.E. Hodges and Y. Rahmat-Samii, "The Evaluation of MFIE Integrals with the Use of Vector Triangle Basis Functions," Microwave Opt. Technol. Lett., vol. 14, no. 1, Jan. 1997, pp. 9-14.
  • [18]P. Yla-Oijala and M. Taskinen, "Calculation of CFIE Impedance Matrix Elements with RWG and n RWG Functions," IEEE Trans. Antennas Propagat., vol. 51, no. 8, Aug. 2003, pp. 1837-1846.
  文献评价指标  
  下载次数:3次 浏览次数:4次