PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 20 > pp. 45-61

Stable Solution of the GMT-MOM Method by TIKHONOV Regularization

By L. Landesa, F. Obelleiro, J. L. Rodr'guez, and M. R. Pino

Full Article PDF (278 KB)

Citation: (See works that cites this article)
L. Landesa, F. Obelleiro, J. L. Rodr'guez, and M. R. Pino, "Stable Solution of the Gmt-MoM Method by Tikhonov Regularization," Progress In Electromagnetics Research, Vol. 20, 45-61, 1998.
doi:10.2528/PIER98022300
http://www.jpier.org/PIER/pier.php?paper=980223

References:
1. Harrington, R. F., Field Computation by Moment Method, IEEE Press, 1993.
doi:10.1109/9780470544631

2. Ludwig, A. C., "A Comparison of spherical wave boundary value matching versus integral equation scattering solutions for a perfectly conducting body," IEEE Trans. Ant. Prop., Vol. AP-34, No. 7, 857-865, July 1986.
doi:10.1109/TAP.1986.1143917

3. Ludwig, A., "A new technique for numerical electromagnetics," IEEE Antennas Propagat. Newsletter, Vol. 3, 40-41, Feb. 1889.

4. Hafner, C., The Generalized Multipole Technique for Computational Electromagnetics, Artech House, London, 1990.

5. Leviatan, Y. and A. Boag, "Analysis of electromagnetic scattering from dielectric cylinders using a multifilament current model," IEEE Trans. Ant. Prop., Vol. 35, No. 10, 1119-1126, Oct. 1987.
doi:10.1109/TAP.1987.1143994

6. Leviatan, Y., A. Boag, and A. Boag, "Analysis of TE scattering from dielectric cylinders using a multifilament magnetic current model," IEEE Trans. Ant. Prop., Vol. 36, No. 7, 1026-1031, Jul. 1988.
doi:10.1109/8.7209

7. Leviatan, Y., A. Boag, and A. Boag, "Generalized formulations for electromagnetic scattering from perfectly conducting and homogeneous material bodies --- theory and numerical solution," IEEE Trans. Ant. Prop., Vol. 36, No. 12, 1722-1734, Dec. 1988.
doi:10.1109/8.14394

8. Leviatan, Y., A. Boag, and A. Boag, "Analysis of electromagnetic scattering using a current model method," Computer Physics Communications, Vol. 68, 331-345, 1991.
doi:10.1016/0010-4655(91)90207-2

9. Boag, A. and R. Mittra, "Complex multipole beam approach to electromagnetic scattering problems," IEEE Trans. Ant. Prop., Vol. 42, No. 3, 366-372, Mar. 1994.
doi:10.1109/8.280723

10. Boag, A. and R. Mittra, "Complex multipole-beam approach to three-dimensional electromagnetic scattering problems," J. of the Opt. Soc. of Am., Vol. 11, No. 3, 1505-1512, Apr. 1994.
doi:10.1364/JOSAA.11.001505

11. Erez, E. and Y. Leviatan, "Electromagnetic scattering analysis using a model of dipoles located in complex space," IEEE Trans. Ant. Prop., Vol. 42, No. 12, 1620-1624, Dec. 1994.
doi:10.1109/8.362812

12. Leviatan, Y., Z. Baharav, and E. Heyman, "Analysis of electromagnetic scattering using arrays of fictitious sources," IEEE Trans. Ant. Prop., Vol. 43, No. 10, 1091-1098, Oct. 1995.
doi:10.1109/8.467645

13. Baharav, Z. and Y. Leviatan, "Scattering analysis using fititious wavelet array sources," Journal of Electromagnetic Waves and Applications, Vol. 10, 1683-1697, 1996.
doi:10.1163/156939396X00397

14. Eisler, S. and Y. Leviatan, "Analysis of electromagnetic scattering from metallic and penetrable cylinders with edges using a multifilament current model," IEE Proceedings, Pt. H, Vol. 136, No. 6, 431-438, Dec. 1989.

15. Hafner, C., J. Waldvogel, J. Mosig, J. Zheng, and Y. Brand, "On the Combination of MMP with MoM," Appl. Comp. Elec. Soc. J., Vol. 9, No. 3, 18-27, 1994.

16. Boag, A., E. Michelssen, and R. Mittra, "Hybrid multipole-Beam approach to electromagnetic scattering problems," Appl. Comp. Elec. Soc. J., Vol. 9, No. 3, 7-17, 1994.

17. Rodriguez, J. L., F. Obelleiro, and A. G. Pino, "A hybrid multipolar-expansion-moment-method approach for electromagnetic scattering problems," Micr. Opt. Tech. Lett., Vol. 11, No. 6, 304-308, Apr. 1996.
doi:10.1002/(SICI)1098-2760(19960420)11:6<304::AID-MOP5>3.0.CO;2-N

18. Leuchtmann, P., "MMP modeling technique with curved line multipoles," Appl. Comp. Elec. Soc. J., Vol. 9, No. 3, 69-78, 1994.

19. Leutchmann, P., "The construction of practically useful fast converging expansions for the GMT," 1989 IEEE AP-S Intl. Symp., 176-179, 1989.

20. Shifman, Y., M. Friedmann, and Y. Leviatan, "Analysis of electromagnetic scattering by cylinders with edges using a hybrid moment method," IEE Proceedings Microwave, Antennas and Propagation, Vol. 144, No. 4, 235-240, Aug. 1997.
doi:10.1049/ip-map:19971186

21. Beshir, K. L. and J. E. Richie, "On the location and number of expansion centers for the generalized multipole technique," IEEE Trans. on Elec. Compat., Vol. 38, No. 2, 177-180, May 1996.
doi:10.1109/15.494621

22. Rodriguez, J. L. and A. G. Pino, "An automatic location algorithm of MoM basis in the hybrid GMT-MoM method," Micr. Opt. Tech. Lett., Vol. 13, No. 6, 327-329, Dec. 1996.

23. Rodriguez, J. L., "Desarrollo de m´etodos eficientes para el estudio de problemas de dispersion electromagnetica,", Ph. D. Thesis, E. T. S. I. Telecomunicaci´on. Universidad de Vigo, 1997.

24. Boag, A., Y. Leviatan, and A. Boag, "On the use of SVD-improved point matching in the current-model method," IEEE Trans. Ant. Prop., Vol. 41, No. 7, 926-933, Jul. 1993.
doi:10.1109/8.237624

25. Golub, G. H. and C. F. Van Loan, Matrix Computations, The Johns Hopkins University Press, 1989.

26. Canning, F. X., "Singular value decomposition of integral equations of EM and applications to the cavity resonance problem," IEEE Trans. Ant. Prop., Vol. 37, No. 9, 1156-1163, Sep. 1989.
doi:10.1109/8.35796

27. Canning, F. X., "Protecting EFIE-based scattering computations from effects of interior resonances," IEEE Trans. Ant. Prop., Vol. 39, No. 11, 1545-1552, Nov. 1991.
doi:10.1109/8.102767

28. Sarkar, T. K. and S. M. Rao, "A simple technique for solving E-field integral equation for conducting bodies at internal resonances," IEEE Trans. Ant. Prop., Vol. 30, No. 6, 1250-1254, Nov. 1982.
doi:10.1109/TAP.1982.1142968

29. Hansen, P. C., Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion, SIAM, Philadelphia, 1998.
doi:10.1137/1.9780898719697

30. Tikhonov, A. N. and V. Y. Arsenin, Solutions of Ill-posed Problems, Winston, Washington, D.C., 1997.

31. Hansen, P. C. and D. P. O’Leary, "The use of the L-curve in the regularization of discrete ill-posed problems," SIAM Journal of Scientific Computing, Vol. 14, 1487-1503, 1993.
doi:10.1137/0914086

32. Hanke, M., "Limitations of the L-curve method in ill-posed problems," BIT, Vol. 36, 287-301, 1996.
doi:10.1007/BF01731984


© Copyright 2014 EMW Publishing. All Rights Reserved