The “interior resonance” problem associated with surface integral equations of electromagnetics: Numerical consequences and a survey of remedies

Electromagnetics

Volumn 10, Issue 3, 1990, Pages 293-312

  Peterson, Andrew F ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000921003     PISSN: 02726343     EISSN: 1532527X     Source Type: Journal    
DOI: 10.1080/02726349008908245     Document Type: Article

References (25)

1. A. W. Maue, “On the formulation of a general scattering problem by means of an integral equation,” Z. Phys., vol. 126, pp. 601-618, 1949
2. K. K. Mei and J. G. Van Bladel, “Scattering by perfectly-conducting rectangular cylinders,” IEEE Trans. Antennas Propagai., vol. AP-11, pp. 185-192, March 1963
3. M. G. Andreasen, “Comments on 'Scattering by conducting rectangular cylinders,'“IEEE Trans. Antennas Propagai., vol. AP-12, pp. 235-236, March 1964
4. K. M. Mitzner, “Numerical solution of the exterior scattering problem at eigenffequencies of the interior problem,” Digest of the 1968 URSI Radio Science Meeting, Boston, MA, p. 75, Sept. 1968
5. J. R. Mautz and R. F. Harrington, “H-field, E-field, and combined-field solutions for conducting bodies of revolution,” A. E. U., vol. 32, pp. 157-163, 1978
6. J. C. Bolomey and W. Tabbara, “Numerical aspects on coupling between complementary boundary value problems,” IEEE Trans. Antennas Propagai., vol. AP-21, pp. 356-363, May 1973
7. J. R. Mautz and R. F. Harrington, “A combined-source formulation for radiation and scattering from a perfectly conducting body,” IEEE Trans. Antennas Propagai., vol. AP-27, pp. 445-454, July 1979
8. R. Mittra and C. A. Klein, “Stability and convergence of moment method solutions,” in Numerical and Asymptotic Techniques in Electromagnetics, ed. R. Mittra. New York: Springer-Verlag, 1975
9. P. C. Waterman, “Numerical solution of electromagnetic scattering problems,” in Computer Techniques for Electromagnetics, ed. R. Mittra. New York: Hemisphere, 1987 Reprint
10. A. R. Tobin, A. D. Yaghjian and M. M. Bell, “Surface integral equations for multiwavelength, arbitrarily shaped, perfectly conducting bodies,” Digest of the 1987 URSI Radio Science Meeting, Boulder, CO, p. 7, Jan. 1987
11. A. D. Yaghjian, “Augmented electric- and magnetic-field equations,” Radio Science, voi. 16, pp. 987-1001, Nov. 1981
12. T. K. Sarkar and S. M Rao, “A simple technique for solving E-field integral equations for conducting bodies at internal resonances,” IEEE Trans. Antennas Propagai., voi. AP-30, pp. 1250-1254, Nov, 1982
13. F. X. Canning, “Singular value decomposition of integral equations of EM and applications to the cavity resonance problem,” IEEE Trans. Antennas Propagai., voi, AP-37, Sep. 1989 (in press)
14. D. Colton and R. Kress, Integral Equation Methods in Scattering Theory. New York: Wiley, 1983
15. H. A. Shenk, “Improved integral equation formulation for acoustic radiation problems,” J. Acoust. Soc. Am., vol. 44, pp. 41-58, 1968
16. F. H. Fenlon, “Calculation of the acoustic radiation Field at the surface of a finite cylinder by the method of weighted residuals,” Proc. IEEE, vol. 57, pp. 291-306, March 1969
17. A. F. Peterson and R. Mittra, “Mutual admittance between slots in cylinders of arbitrary shape,” IEEE Trans. Antennas Propagat., vol. AP-37, pp. 858 864, July 1989
18. A. F. Peterson and R. Mittra, “Mutual admittance between slots in cylinders of arbitrary shape,” Coordinated Science Lab. Tech. Rep., U1LU-ENG-87-2247, University of Illinois, Urbana, IL, Aug. 1987
19. J. Dongarra, J. R. Bunch, C. B. Moler, and G. W. Stewart, Unpack User's Guide. Philadelphia: SIAM Publications, 1978
20. R. F. Harrington, Time-Harmonic Electromagnetic Fields. New York: McGrawHill, 1961
21. R. F. Harrington, Field Computation by Moment Methods. Malabar, FL: Krieger, 1982 Reprint
22. A. F. Peterson, “Eigenvalue projection theory for linear operator equations of electromagnetics,” Coordinated Science Lab. Tech. Rep., U1LU-ENG-87-2252, University of Illinois, Urbana, IL, Sept. 1987
23. F.X. Canning, “Protecting EF1E based scattering computations from effects of interior resonances,” IEEE Trans. Antennas Propagat., (to appear)
24. A. F. Peterson and R. Mittra, “On the method of conjugate gradients for scattering by PEC cylinders,” Electromagnetics Lab. Tech. Rep. 84-3, UILU-ENG-84-2540, University of Illinois, Urbana, IL, Jan. 1984
25. R. Mittra, “Inverse scattering and remote probing,” in Computer Techniques for Electromagnetics, ed. R. Mittra. New York: Hemisphere, 1987 Reprint