A regularized combined field integral equation for scattering from 2-D perfect electrically conducting objects

IEEE Transactions on Antennas and Propagation

Volumn 55, Issue 9, 2007, Pages 2522-2529

  Andriulli, Francesco P ^a   Michielssen, Eric ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Combined field integral equation (CFIE); Electric field integral equation (EFIE); Electromagnetic scattering

Indexed keywords

COMPUTATIONAL COMPLEXITY; ELECTRIC FIELD MEASUREMENT; ELECTRIC FIELDS; INTEGRAL EQUATIONS; TWO DIMENSIONAL;

COMBINED FIELD INTEGRAL EQUATION (CFIE); ELECTRIC FIELD INTEGRAL EQUATION (EFIE); ELECTRICALLY CONDUCTING OBJECTS;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 34548645971     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2007.904083     Document Type: Article

References (26)

1. R. F. Harrington, Field Computation by Moment Methods, ser. IEEE Press Series on Electromagnetic Wave Theory. New York: Wiley-IEEE Press, 1993.
2. V. Rokhlin, "Rapid solution of integral equations of scattering theory in two dimensions," J. Comp. Phys., vol. 86, pp. 414-439, 1990.
3. C. C. Lu and W. C. Chew, "A multilevel algorithm for solving boundary-value scattering," Microw. Opt. Tech. Lett., vol. 7, pp. 446-470, 1994.
4. E. Michielssen and A. Boag, "A multilevel matrix decomposition algorithm for analyzing scattering from large structures," IEEE Trans. Antennas Propag., vol. 44, pp. 1086-1093, 1996.
5. F. X. Canning, "Improved impedance matrix localization method," IEEE Trans. Antennas Propag., vol. 41, pp. 659-667, 1993.
6. A. F. Peterson, S. L. Ray, and R. Mittra, Conputational Methods for Electromagnetics. Piscataway, NJ: IEEE Press, 1997.
7. D. Colton and R. Kress, Integral Equation Methods in Scattering Theory. New York: Wiley, 1993.
8. E. K. Miller, "A computational study of the effect of matrix size and type, condition number, coefficient accuracy and computation precision on matrix-solution accuracy," in Proc. IEEE APS Int. Symp., 1995, vol. 2, pp. 1020-1023.
9. J. R. Mautz and R. F. Harrington, "H-field, E-field, and combined field solution for cinducting bodies of revolution," Archiv. f. Elektronik u. Ubertragungstechnik, vol. 32, pp. 159-164, 1978.
10. G. Vecchi, L. Matekovits, P. Pirinoli, and M. Orefice, "A numerical regularization of the EFIE for three-dimensional planar structures in layered media," Int. J. Microwave Millimeter Wave Computer-Aided Eng. Frequency-Domain Modeling Planar Circuits Antennas, vol. 7, pp. 410-431, 1996.
11. J. S. Zhao and W. C. Chew, "Integral equation solution of Maxwell's equations from zero frequency to microwave frequencies," IEEE Trans. Antennas Propag., vol. 48, pp. 1635-1645, 2000.
12. F. Vipiana, P. Pirinoli, and G. Vecchi, "A multiresolution method of moments for triangular meshes," IEEE Trans. Antennas Propag., vol. 53, pp. 2247-2258, 2005.
13. F. P. Andriulli, G. Vecchi and A. Tabacco, "Multiresolution formulation of the integral equation analysis of antenna problems," SIAM J. Sci. Comp., to be published.
14. G. C. Hsiao and R. E. Kleinman, "Mathematical foundations for error estimation in numerical solutions of integral equations in electromagnetics," IEEE Trans. Antennas Propag., vol. 45, pp. 316-328, 1997.
15. R. J. Adams and N. J. Champagne, "A numerical implementation of a modified form of the electric field integral equation," IEEE Trans. Antennas Propag., vol. 52, pp. 2262-2266, 2004.
16. R. J. Adams and G. S. Brown, "Stabilization procedure for electric field integral equation," Electron. Lett., vol. 35, pp. 2015-2016, 1999.
17. Z. Liu, R. J. Adams, and L. Carin, "Well-conditioned MLFMA formulation for closed PEC targets in the vicinity of a half space," IEEE Trans. Antennas Propag., vol. 51, pp. 2822-2829, 2003.
18. H. Contapaganos, B. Dembart, M. Epton, J. Ottush, V. Rokhlin, J. L. Visher, and S. M. Wandzura, "Well-conditioned boundary integral equations for three dimensional electromagnetic scattering," IEEE Trans. Antennas Propag., vol. 50, pp. 1824-1830, 2002.
19. S. H. Christiansen and J. C. Nedelec, "A preconditioner for the electric field integral equation based on Calderon formulas," SIAM J. Numer. Anal., vol. 40, pp. 1100-1135, 2002.
20. R. J. Adams, "Combined field integral equation formulations for electromagnetic scattering from convex geometries," IEEE Trans. Antennas Propag., vol. 52, pp. 1294-1303, 2004.
21. S. Borel, D. P. Levadoux, and F. Alouges, "A new well-conditioned integral formulation for maxwell equations in three dimensions," IEEE Trans. Antennas Propag., vol. 53, pp. 2995-3004, 2005.
22. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions. Mineola, NY: Dover, 1965.
23. A. Buffa and R. Hiptmair, "Galerkin boundary element methods for electromagnetic scattering," in Topics in Computational Wave Propagation. Direct and Inverse Problems. New York: Springer, 2003, vol. 31, pp. 83-124.
24. X. Q. Sheng, J. M. Jin, J. 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 Propag., vol. 46, pp. 1718-1726, 1998.
25. J.-C. Nédélec, Acoustic and Electromagnetic Equations: Integral Representations for Harmonic Problems. New York: Springer, 2001.
26. G. H. Golub and C. F. V. Loan, Matrix Computation. Baltimore,MD: The Johns Hopkins Univ. Press, 1996.