New simplified method to treat the nonuniqueness problem in electromagnetic integral equation solutions

AEU-Archiv fur Elektronik und Ubertragungstechnik

Volumn 54, Issue 5, 2000, Pages 277-284

  Mohsen, Adel A K ^a   Abdelmageed, Alaa K ^a  

^a CAIRO UNIVERSITY   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; INTEGRAL EQUATIONS; LEAST SQUARES APPROXIMATIONS;

INTERIOR FIELD EQUATIONS; NONUNIQUENESS PROBLEMS;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 0034544137     PISSN: 14348411     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. Mohsen, A.: On the integral representation of electromagnetic field vectors. IEEE Trans. Antennas Propagat. 30 (1981), 148-153.
2. Poggio, A. J.; Miller, E. K.: Integral equation solutions of three-dimensional scattering problems. In: Computer Techniques for Electromagnetics (R. Mittra, Ed.), New York: Pergamon 1973, Chap. 4.
3. Hansen, R. C. (Ed.): Moment Methods in Antennas and Scattering. Norwood, MA: Artech House 1990.
4. Yaghjian, A. D.: Augmented electric-and magnetic-field integral equations. Radio Sci. 16 (1981), 987-1001.
5. Murphy, W. D.; Rokhlin, V.; Vassiliou, M. S.: Solving electromagnetic scattering problems at resonance frequencies. J. Appl. Phys. 67 (1990), 6061-6065.
6. Klein, C. A.; Mittra, R.: An application of the condition number concept to the solution of scattering problems in the presence of the interior resonant frequencies. IEEE Trans. Antennas Propagat. 23 (1975), 431-435.
7. Mittra, R.; Klein, C. A.: The use of pivot ratios as a guide to stability of matrix equations arising in the method of moments. IEEE Trans. Antennas Propagat. 23 (1975), 448-450.
8. Canning, F. X.: Singular value decomposition of integral equations of EM and applications to the cavity resonance problem. IEEE Trans. Antennas Propagat. 37 (1989), 1156-1163.
9. Seybert, A. F; Rengarajan, T. K.: The use of CHIEF to obtain unique solutions for acoustic radiation using boundary integral equations. J. Acoust. Soc. Am. 81 (1987), 1299-1306.
10. Canning, F. X.: Protecting EFIE-based scattering computations from effects of interior resonances. IEEE Trans. Antennas Propagat. 39 (1991), 1545-1552.
11. Bolomey, J. C.; Tabbara, W.: Numerical aspects on coupling between complementary boundary value problems. IEEE Trans. Antennas Propagat. 21 (1973), 356-363.
12. Colton, D.; Kress, R.: Integral Equation Methods in Scattering Theory, New York: Wiley 1983, Chaps. 1-3.
13. Peterson, A. F.: The interior resonance problem associated with surface integral equations of electromagnetics: numerical consequencies and a survey of remedies. Electromagn. 10 (1990), 293-312.
14. Mautz, J. R.; Harrington, R. F.: H-field, E-field and combined field solutions for conducting bodies of revolutions. Arch. Elek. Übertragung. 32 (1978), 157-164.
15. Mautz, J. R.; Harrington, R. F.: A combined-source solution for radiation and scattering from a perfectly conducting body. IEEE Trans. Antennas Propagat. 27 (1979), 445-454.
16. Jones, D. S.: Methods in Electromagnetic Wave Propagation. Oxford: Clarendon Press 1979.
17. Waterman, P. C.: Matrix formulation of electromagnetic scattering. Proc. IEEE 53 (1965), 805-812.
18. Iskander, M. F.; Lakhtakia, A.; Durney, C. H.: A new procedure for improving the solution stability and extending the frequency range of the EBCM. IEEE Trans. Antennas Propagat. 31 (1983), 317-324.
19. Schenck, H. A.: Improved integral formulation for acoustic radiation problems. J. Acoust. Soc. Am. 44 (1968), 41-58.
20. Mohsen, A.; Eldin, H. A. N.: A simplified treatment of the nonuniqueness problem in integral equation solutions in electromagnetics. In: Proceedings of the 15th IMACS World Congress (Berlin), 1997, 557-562.
21. Copley, L. G.: Integral equation method for radiation from vibrating surfaces. J. Acoust. Soc. Am. 41 (1967), 807-816.
22. Woodworth, M. B.; Yaghjian, A. D.: Derivation, application and conjugate gradient solution of dual-surface integral equations for three-dimensional perfect conductor. In: Application of Conjugate Gradient Method for Electromagnetic and Signal Analysis (T. K. Sarkar, Ed.), New York: Elsevier 1990, Chap. 4.
23. Morita, N.: Resonant solutions in integral equation approach to scattering from conducting and dielectric cylinders. IEEE Trans. Antennas Propagat. 27 (1979), 869-871.
24. Mohsen, A.; Helaly, A.; Fahmy, H. M.: The corrected induced surface current for arbitrary conducting objects at resonance frequencies. IEEE Trans. Antennas Propagat. 43 (1995), 448-452.
25. Canning, F. X.: Robust use of supplementary conditions for moment method solutions near internal resonances. IEEE Trans. Antennas Propagat. 43 (1995), 264-269.
26. Glisson, A. W.; Wilton, D. R.: Simple and efficient numerical methods for problems of electromagnetic radiation and scattering from surfaces. IEEE Trans. Antennas Propagat. 28 (1980), 593-603.