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IEEE Transactions on Antennas and Propagation
Volume 47 Number 10, October 1999

Table of Contents for this issue

Complete paper in PDF format

An Investigation of New FETD/ABC Methods of Computation of Scattering from Three-Dimensional Material Objects

Kenneth S. Komisarek, Nan N. Wang, Allen K. Dominek, and Raiford Hann

Page 1579.

Abstract:

Finite-element time-domain (FETD) and absorbing boundary condition (ABC) methods for computation of scattering from three-dimensional (3-D) material objects are developed and investigated. The methods involve discrete-time FETD solution of the time-domain Helmholtz equation in a region that comprises the 3-D scatterer and its immediate vicinity. Coupling of the solution to the surrounding infinite space is achieved through the ABC. This FETD/ABC formulation is examined for a number of various geometries: sphere, plate, and ogive.

References

  1. A. Taflove and E. Brodwin, "Numerical solution of steady-state electromagnetic scattering problems using the time-dependent Maxwell's equations," IEEE Trans. Microwave Theory Tech., vol. 23, pp. 623-630, Aug. 1975.
  2. O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method, 4th ed.New York: McGraw-Hill, 1988.
  3. J. D'Angelo and I. Mayergoyz, "Finite element methods for the solution of RF radiation and scattering problems," Electromagn., vol. 10, pp. 177-199, 1990.
  4. J. Lee, R. Lee, and A. Cangellaris, "Time-domain finite element methods," IEEE Trans. Antennas Propagat., vol. 45, pp. 430-442, Mar. 1997.
  5. P. Silvester and R. Ferrari, Finite Elements for Electrical Engineers, 2nd ed.Cambridge, U.K.: Cambridge Univ. Press, 1990.
  6. J. Lee, "WETD--A finite element time-domain approach for solving Maxwell's equations," IEEE Microwave Guided Wave Lett., vol. 4, pp. 11-13, Jan. 1994.
  7. D. Dibben and R. Metaxas, "Time domain finite element analysis of multimode microwave applicators," IEEE Trans. Magn., vol. 32, pp. 942-945, May 1996.
  8. J. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Computat. Phys., vol. 114, no. 2, pp. 185-200, Oct. 1994.
  9. W. Chew and W. Weedon, "A 3D perfectly matched medium from modified Maxwell's equations with stretched coordinates," Microwave Opt. Technol. Lett., vol. 7, no. 13, pp. 599-604, Sept. 1994.
  10. J. Wang, "On `edge'-based finite elements and method of moments solutions of electromagnetic scattering and coupling," Ph.D. dissertation, Univ. Akron, OH, May 1992.
  11. N. Wang and A. Dominek, "FEM/ABC and FEM/BEM techniques for electromagnetic scattering from three-dimensional termination structures," Rep. 723224-8, Grant NAG3-1000, NASA Lewis Res. Ctr., ElectroSci. Lab., Ohio State Univ., Columbus, May 1994.
  12. B. Engquist and A. Majda, "Absorbing boundary conditions for the numerical simulation of waves," Math. Computat., vol. 31, no. 139, pp. 629-651, July 1977.
  13. J. Webb and V. Kanellopoulos, "Absorbing boundary conditions for the finite element solution of the vector wave equation," Microwave Opt. Technol. Lett., vol. 2, no. 10, pp. 370-372, Oct. 1989.
  14. G. Mur, "Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic field equations," IEEE Trans. Electromagn. Compat., vol. 23, pp. 377-382, Nov. 1981.
  15. H. Ali and G. Costache, "Finite-element time-domain analysis of axisymmetrical radiators," IEEE Trans. Antennas Propagat., vol. 42, pp. 272-275, Feb. 1994.
  16. K. Mahadevan and R. Mittra, "Radar cross section computation of inhomogeneous scatterers using edge-based finite element methods in frequency and time domains," Radio Sci., vol. 28, no. 6, pp. 1181-1193, Nov./Dec. 1996.
  17. K. Komisarek, "An investigation of FETD/ABC methods for computation of scattering from three dimensional material objects," Ph.D. dissertation, Ohio State Univ., Columbus, 1997.
  18. R. Luebbers, D. Steich, and K. Kunz, "FDTD calculation of scattering from frequency-dependent materials," IEEE Trans. Antennas Propagat., vol. 41, pp. 1249-1257, Sept. 1993.
  19. M. Barton and Z. Cendes, "New vector finite elements for three-dimensional magnetic field computation," J. Appl. Phys., vol. 61, no. 8, pp. 3919-3921, Apr. 1987.
  20. A. Bossavit and I. Mayergoyz, "Edge-elements for scattering problems," IEEE Trans. Magn., vol. 25, pp. 2816-2821, July 1989.
  21. S. S. Kuo, Computer Applications of Numerical Methods.Reading, MA: Addison-Wesley, 1972.
  22. W. L. Wood, Practical Time-Stepping Schemes.Oxford, U.K.: Clarendon, 1990.
  23. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in FORTRAN, 2nd ed.Cambridge, U.K.: Cambridge Univ. Press, 1994.