Linear-linear basis functions for MLFMA solutions of magnetic-field and combined-field integral equations

IEEE Transactions on Antennas and Propagation

Volumn 55, Issue 4, 2007, Pages 1103-1110

  Ergül, Özgür ^a   Gurel, Levent ^a  

^a BILKENT UNIVERSITY   (Turkey)

Author keywords

Basis functions; Combined field integral equation; Magnetic field integral equation; Multilevel fast multipole algorithm

Indexed keywords

ALGORITHMS; ELECTRIC CONDUCTORS; ELECTROMAGNETIC WAVE SCATTERING; INTEGRAL EQUATIONS; LINEAR EQUATIONS; MAGNETIC FIELDS;

BASIS FUNCTIONS; COMBINED-FIELD INTEGRAL EQUATION; MAGNETIC-FIELD INTEGRAL EQUATION; MULTILEVEL FAST MULTIPOLE ALGORITHM;

DIPOLE ANTENNAS;

EID: 34247151257     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2007.893393     Document Type: Article

References (30)

1. R. F. Harrington, Field Computation by Moment Methods. New York: Macmillan, 1968.
2. S. M. Rao, D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propag., vol. AP-30, pp. 409-418, May 1982.
3. A. J. Poggio and E. K. Miller, "Integral equation solutions of three-dimensional scattering problems," in Comput. Techniques for Electromagnetics, R. Mittra, Ed. Oxford: Permagon Press, 1973, ch. 4.
4. Ö Ergül and L. Gürel, "Investigation of the inaccuracy of the MFIE discretized with the RWG basis functions," in Proc. IEEE Antennas and Propagation Soc. Int. Symp., 2004, vol. 3, pp. 3393-3396.
5. L. Gürel and Ö. Ergül, "Singularity of the magnetic-field integral equation and its extraction," IEEE Antennas Wireless Propag. Lett., vol. 4, pp. 229-232, 2005.
6. Ö. Ergül and L. Gürel, "Improved testing of the magnetic-field integral equation," IEEE Microw. Wireless Comp. Lett., vol. 15, no. 10, pp. 615-617, Oct. 2005.
7. Ö. Ergül and L. Gürel, "Solid-angle factor in the magnetic-field integral equation," Microw. Opt. Technol. Lett., vol. 45, no. 5, pp. 452-456, Jun. 2005.
8. Ö. Ergül and L. Gürel, "Improving the accuracy of the MFIE with the choice of basis functions," in Proc. IEEE Antennas and Propagation Soc. Int. Symp., 2004, vol. 3, pp. 3389-3392.
9. Ö. Ergül and L. Gürel, "The use of curl-conforming basis functions for the magnetic-field integral equation," IEEE Trans. Antennas Propag., vol 54, pp. 1917-1926, Jul. 2006.
10. E. Úbeda and J. M. Rius, "Curl-conforming MFIE in the analysis of perfectly conducting sharply-edged objects," in Proc. IEEE Antennas and Propagation Soc. Int. Symp., 2004, vol. 4, pp. 4052-4055.
11. E. Úbeda and J. M. Rius, "MFIE MoM-formulation with curl-conforming basis functions and accurate kernel integration in the analysis of perfectly conducting sharp-edged objects," Microw. Opt. Technol. Lett., vol. 44, no. 4, pp. 354-358, Feb. 2005.
12. E. Úbeda and J. M. Rius, "Monopolar divergence-conforming and curl-conforming low-order basis functions for the electromagnetic scattering analysis," Microw. Opt. Technol. Lett., vol. 46, no. 3, pp. 237-241, Aug. 2005.
13. E. Úbeda and J. M. Rius, "Novel monopolar MFIE MoM-discretization for the scattering analysis of small objects," IEEE Trans. Antennas Propag., vol. 54, pp. 50-57, Jan. 2006.
14. L. C. Trintinalia and H. Ling, "First order triangular patch basis functions for electromagnetic scattering analysis," J. Electromagn. Waves Applicat., vol. 15, no. 11, pp. 1521-1537, 2001.
15. Ö. Ergül and L. Gürel, "Improving the accuracy of the magnetic field integral equation with the linear-linear basis functions," Radio Sci., vol. 41, 2006.
16. J. Song, C.-C. Lu, and W. C. Chew, "Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects," IEEE Trans. Antennas Propag., Vol. 45, pp. 1488-1493, Oct. 1997.
17. A. F. Peterson, S. L. Ray, and R. Mittra, Computational Methods for Electromagnetics. New York: IEEE Press, 1998.
18. R. D. Graglia, D. R. Wilton, and A. F. Peterson, "Higher order interpolatory vector bases for computational electromagnetics," IEEE Trans. Antennas Propag., vol. 45, pp. 329-342, Mar. 1997.
19. J. Wang and J. P. Webb, "Hierarchal vector boundary elements and p-adaptation for 3-D electromagnetic scattering," IEEE Trans. Antennas Propag., vol. 45, pp. 1869-1879, Dec. 1997.
20. W. Cai, T. Yu, H. Wang, and Y. Yu, "High-order mixed RWG basis functions for electromagnetic applications," IEEE Trans. Microw. Theory Tech., vol. 49, pp. 1295-1303, Jul. 2001.
21. L. Gürel and Ö. Ergül, "Comparisons of FMM implementations employing different formulations and iterative solvers," in Proc. IEEE Antennas and Propagation Soc. Int. Symp., 2003, vol. 1, pp. 19-22.
22. J. R. Mautz and R. F. Harrington, "H-field, E-field, and combined field solutions for conducting bodies of revolution," AEÜ, vol. 32, no. 4, pp. 157-164, Apr. 1978.
23. C. P. Davis and K. F. Warnick, "High-order convergence with a low-order discretization of the 2-D MFIE," IEEE Antennas Wireless Propag. Lett., vol. 3, pp. 355-358, 2004.
24. C. P. Davis and K. F. Warnick, "2D MFIE solution improvement by regularization," in Proc. IEEE/ACES Int. Conf., 2005, pp. 321-324.
25. W. C. Chew, J.-M. Jin, E. Michielssen, and J. Song, Fast and Efficient Algorithms in Computational Electromagnetics. Boston, MA: Artech House, 2001.
26. 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 Propag., vol. 41, pp. 1448-1455, Oct. 1993.
27. R. E. Hodges and Y. Rahmat-Samii, "The evaluation of MFIE integrals with the use of vector triangle basis functions," Microw. Opt. Technol. Lett., vol. 14, no. 1, pp. 9-14, Jan. 1997.
28. P. Y.-Oijala and M. Taskinen, "Calculation of CFIE impedance matrix elements with RWG and n̂ X RWG functions," IEEE Trans. Antennas Propag., vol. 51, pp. 1837-1846, Aug. 2003.
29. D. A. Dunavant, "High degree efficient symmetrical Gaussian quadrature rules for the triangle," Int. J. Numer. Meth. Eng., vol. 21, pp. 1129-1148, 1985.
30. Ö Ergül, "Fast multipole method for the solution of electromagnetic scattering problems," M.S., Bilkent Univ., Ankara, Turkey, 2003.