Implementation of an exact modal absorbing boundary termination condition for the application of the finite-element time-domain technique to discontinuity problems in closed homogeneous waveguides

IEEE Transactions on Microwave Theory and Techniques

Volumn 52, Issue 3, 2004, Pages 882-888

  Loh, Tian Hong ^a   Mias, Christos ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

Absorbing boundary condition (ABC); Finite element time domain (FETD) method; Modal wave absorption

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; LAPLACE TRANSFORMS; MAXWELL EQUATIONS; MICROWAVE CIRCUITS; THREE DIMENSIONAL; TIME DOMAIN ANALYSIS; TWO DIMENSIONAL; WAVEGUIDES;

ABSORBING BOUNDARY CONDITION; FINITE ELEMENT TIME-DOMAIN METHOD; PERFECTLY MATCHED LAYER; TRANSMISSION LINE MATRIX;

FINITE ELEMENT METHOD;

EID: 1842579957     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMTT.2004.823559     Document Type: Article

References (23)

1. D. C. Dibben and A. C. Metaxas, "Finite element time domain analysis of multimode applicators using edge elements," J. Microw. Power Electromagn. Energy, vol. 29, no. 4, pp. 242-251, 1994.
2. S. D. Gedney and U. Navsariwala, "An unconditionally stable finite element time-domain solution of the vector wave equation," IEEE Microwave Guided Wave Lett., vol. 5, pp. 332-334, Oct. 1995.
3. J. F. Lee, R. Lee, and A. Cangellaris, "Time-domain finite-element methods," IEEE Trans. Antennas Propagat., vol. 45, pp. 430-442, Mar. 1997.
4. S. M. Rao, Time Domain Electromagnetics. New York: Academic, 1999.
5. D. Jiao and J. M. Jin, "Time-domain finite-element modeling of dispersive media," IEEE Microwave Wireless Comp. Lett., vol. 11, pp. 220-222, May 2001.
6. T. H. Loh and C. Mias, "Time and frequency domain finite element modeling of periodic structures," in 12th Int. Antennas Propagation Conf., vol. 1, Apr. 2003, pp. 312-315.
7. K. S. Yee, "Numerical solutions of initial boundary value problems involving Maxwell's equation in isotropic media," IEEE Trans. Antennas Propagat., vol. AP-14, pp. 302-307, May 1966.
8. A. Taflove and M. E. Brodwin, "Numerical solution of steady-state electromagnetic scattering problems using the time-dependent Maxwell's equation," IEEE Trans. Microwave Theory Tech., vol. MTT-23, pp. 623-630, Aug. 1975.
9. G. Mur, "Absorbing boundary conditions for finite-difference approximation of the time-domain electromagnetic-field equations," IEEE Trans. Electromagn. Compat., vol. EMC-23, pp. 1073-1077, Nov. 1981.
10. S. D. Gedney, "An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices," IEEE Trans. Antennas Propagat., vol. 44, pp. 1630-1639, Dec. 1996.
11. A. Taflove and S. C. Hugness, Computational Electrodynamics: The Finite-Difference Time-Domain Method. Norwood, MA: Artech House, 2000.
12. J. M. Jin, The Finite Element Method in Electromagnetics. New York: Wiley, 1993.
13. J. P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys., vol. 114, pp. 185-200, Oct. 1994.
14. E. Bermani, S. Caorsi, and M. Raffetto, "Causal perfectly matched anisotropic absorbers for the numerical solution of unbounded problems in the time domain," Microwave Opt. Technol. Lett., vol. 21, no. 4, pp. 295-299, May 1999.
15. F. Moglie, T. Rozzi, P. Marcozzi, and A. Schiavoni, "A new termination condition for the application of FDTD techniques to discontinuity problems in close homogeneous waveguide," IEEE Microwave Guided Wave Lett., vol. 2, pp. 475-477, Dec. 1992.
16. L. Pierantoni, C. Tomassoni, and T. Rozzi, "A new termination condition for the application of the TLM method to discontinuity problems in closed homogeneous waveguide," IEEE Trans. Microwave Theory Tech., vol. 50, pp. 2513-2518, Nov. 2002.
17. Y. X. Wang and T. Itoh, "Envelope-finite-element (EVFE) technique - A more efficient time domain scheme," IEEE Trans. Microwave Theory Tech., vol. 49, pp. 2241-2247, Dec. 2001.
18. P. P. Silvester and R. L. Ferrari, Finite Elements for Electrical Engineers. Cambridge, MA: Cambridge Univ. Press, 1996.
19. N. M. Newmark, "A method of computation for structural dynamics," J. Eng. Mech. Div. ASCE, vol. 85, pp. 67-94, July 1959.
20. O. C. Zienkiewicz, "A new look at the Newmark, Houboult and other time stepping formulas: A weighted residual approach," Earthquake Eng. Structural Dynamics, vol. 5, pp. 413-418, 1977.
21. J. F. Lee, "Whitney elements time domain (WETD) method," IEEE Trans. Magn., vol. 31, pp. 1325-1329, May 1995.
22. F. Maradei, "A frequency-dependent WETD formulation for dispersive materials," IEEE Trans. Magn., vol. 37, pp. 3303-3306, Sept. 2001.
23. A. Jeffrey, Advanced Engineering Mathematics. New York: Harcount Academic, 2002.