The fast-multipole method applied to open-PEC problems with triangular type wire-to-surface junctions

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

Volumn 27, Issue 3, 2008, Pages 682-702

  Yu, Yiqiang ^a   McCowen, Andy ^a  

^a SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

Electrical impedance; Electromagnetism; Numerical analysis

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ELECTRIC IMPEDANCE; ELECTROMAGNETISM; HETEROJUNCTIONS; ITERATIVE METHODS; LINEAR SYSTEMS;

FAST-MULTIPOLE METHOD (FMM); PERFECT ELECTRIC CONDUCTORS (PEC); WIRE-TO-SURFACE JUNCTION;

ELECTRIC CONDUCTORS;

EID: 43049130779     PISSN: 03321649     EISSN: None     Source Type: Journal    
DOI: 10.1108/03321640810861115     Document Type: Article

References (25)

1. Bhattacharya, S., Long, S.A. and Wilton, D.R. (1987), "The input impedance of a monopole antenna mounted on a cubical conducting box", IEEE Transaction on Antennas and Propagation, Vol. 35 No. 7, pp. 756-62.
2. Champagne, N.J., Johnson, W.A. and Wilton, D.R. (2002), "On attaching a wire to a triangulated surface", IEEE Antennas and Propagation Society International Symposium, Vol. 1, pp. 54-7.
3. Chow, E. and Saad, Y. (1997), "Experimental study of ILU preconditioners for indefinite matrices", J. Comput. Appl. Math., Vol. 86, pp. 387-414.
4. Coifman, R., Rokhlin, V. and Wandzura, S. (1993), "The fast multipole method for the wave equation: a Pedestrian prescription", IEEE Antennas Propagat. Mag., Vol. 35, pp. 7-12.
5. Dembart, B. and Yip, E. (1995), "A 3-D fast multipole method for electromagnetic with multiple levels", 11th Annual Review of Progress in Applied Comput. Electromagnetics, Monterey, CA, March, pp. 621-8.
6. Duffy, A.P., Benson, T.M. and Christopoulos, C. (1994), "Propagation along a wire placed inside a cavity with an aperture: a comparison of measurements and transmission-line modeling (TLM)", IEEE Trans. Electromagn. Compat., Vol. 36 No. 2, pp. 144-6.
7. Engheta, N., Murphy, W.D., Rokhlin, V. and Vassiliou, M.S. (1992), "The fast multipole method (FMM) for electromagnetic scattering problems", IEEE Transaction on Antennas and Propagation, Vol. 40, pp. 634-41.
8. Freund, R.W. and Nachtigal, N.M. (1991), "QMR: a quasi-minimal residual method for non-Hermitian linear systems", Numerische Math., Vol. 60, pp. 315-9.
9. Graglia, R.D. (1993), "On the numerical iteration of the linear shape functions times de 3-D Green's function or its gradient on a plane triangle", IEEE Transaction on Antennas and Propagation, Vol. 41, pp. 1448-55.
10. Lee, J., Zhang, J. and Lu, C.C. (2003), "Incomplete LU preconditioning for large scale dense complex linear systems from electromagnetic wave scattering problems", Journal of Computational Physics, Vol. 185 No. 1, pp. 158-75.
11. Li, N.A., Saad, Y. and Chow, E. (2003), "Crout versions of ILU for general sparse matrices", SIAM Journal on Scientific Computing, Vol. 25, pp. 716-28.
12. Lu, C.C. and Chew, W.C. (1994), "A multilevel algorithm for solving boundary integral equations of wave scattering", Microwave Opt. Technol. Lett., Vol. 7 No. 10, pp. 466-70.
13. Lu, C.C. and Chew, W.C. (1995), "Fast far-field approximation for calculating the RCS of large objects", 11th Annual Review of Progress in Applied Comput. Electromagnetics, Monterrey, CA, March, pp. 576-83.
14. McCowen, A. (1999), "Efficient 3-D moment-method analysis for reflector antennas using a far-field approximation technique", IEE Proceedings: Microwave, Antennas and Propagation, Vol. 146 No. 1, pp. 7-12.
15. Pozar, D.M. and Newman, E.H. (1982), "Analysis of a monopole mounted near an edge or a vertex", IEEE Transaction on Antennas and Propagation, Vol. 30 No. 3, pp. 401-8.
16. Rao, S.M. (1980), "Electromagnetic scattering and radiation of arbitrary shape surfaces by triangular patch modeling", PhD dissertation, University of Mississippi, Oxford, MS.
17. Rao, S.M., Wilton, D.R. and Glisson, A.W. (1982), "Electromagnetic scattering by surfaces of arbitrary shape", IEEE Transaction on Antennas and Propagation, Vol. 30 No. 3, pp. 409-18.
18. Rokhlin, V. (1985), "Rapid solution of integral equations of classical potential theory", J. Comp. Phys., Vol. 60.
19. Rokhlin, V. (1990), "Rapid solution of integral equations of scattering theory in two dimensions", J. Comput. Phys., Vol. 36 No. 2, pp. 414-39.
20. Rossi, L. and Cullen, P.J. (1999), "On the fully numerical evaluation of the linear-shape function times the 3-D Green's function on a plane triangle", IEEE Trans. Microwave Theory Techniques, Vol. 47, pp. 398-402.
21. Siah, E.S., Sertel, K., Volakis, J.L., Liepa, V.V. and Wiese, R. (2003), "Coupling studies and shielding techniques for electromagnetic penetration through apertures on complex cavities and vehicular platforms", IEEE Transaction on Electromagnetic Compatibility, Vol. 45 No. 2, pp. 245-56.
22. Song, J.M., Lu, C.C. and Chew, W.C. (1997), "Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects", IEEE Transaction on Antennas and Propagation, Vol. 45 No. 10, pp. 1488-93.
23. Taboada, J.M. (2004), "Evaluation of Galerkin integrals involving triangular-type wire-to-surface junctions in the method of moments", IEEE Transaction on Antennas and Propagation, Vol. 52 No. 10, pp. 2785-9.
24. Wilton, D.R., Rao, S.M., Glisson, A.W., Scahubert, D.H., Al-Bundak, O.M. and Butler, C.M. (1984), "Potentials integrals for uniform and linear source distributions on polygonal and polyhedral domains", IEEE Transaction on Antennas and Propagation, Vol. AP-32, pp. 276-81.
25. Hwu, S.U., Wilton, D.R. and Rao, S.M. (1988), "Electromagnetic scattering and radiation by arbitrary conducting wire/surface configurations", IEEE AP-S International Symposium Digest, pp. 890-3.