The Origin of Spurious Modes in Numerical Solutions of Electromagnetic Field Eigenvalue Problems

IEEE Transactions on Microwave Theory and Techniques

Volumn 42, Issue 4, 1994, Pages 644-653

  Schroeder, Werner ^a   Wolff, Ingo ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC NETWORK PARAMETERS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; RESONATORS; SPURIOUS SIGNAL NOISE; WAVEGUIDES;

ELECTROMAGNETIC FIELD EIGENVALUE PROBLEMS; METHOD OF LEAST SQUARES WITH INTERMEDIATE PROJECTION; METHOD OF MOMENTS; SPECTRAL DOMAIN APPROACH; SPURIOUS MODES;

ELECTROMAGNETIC FIELDS;

EID: 0028413342     PISSN: 00189480     EISSN: 15579670     Source Type: Journal    
DOI: 10.1109/22.285071     Document Type: Article

References (25)

1. B. M. A. Rahman and J. B. Davies, “Penalty function improvement of waveguide solution by finite elements,” IEEE Trans. Microwave Theory Tech., vol. MTT_32, pp. 922–927, Aug. 1984.
2. J. R. Winkler and J. B. Davies, “Elimination of spurious modes in finite element analysis,” J. Computat. Phys., vol. 56, pp. 1–14, 1984.
3. M. Hano, “Finite-element analysis of dielectric-loaded waveguides,” IEEE Trans. Microwave Theory Tech., vol. MTT-32, pp. 1275–1279, Oct. 1984.
4. J. P. Webb, “The finite-element method for finding modes of dielectricloded cavities,” IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 635–639, July 1985.
5. K. Hayata and M. Koshiba, “Vectorial finite-element method without any spurious solutions for dielectric waveguiding problems using transverse magnetic-field component,” IEEE Trans. Microwave Theory Tech, vol. MTT-34, pp. 1120–1124, Nov. 1986.
6. A. J. Kobelansky and J. P. Webb, “Eliminating spurious modes in finite-element element waveguide problems by using divergence-free fields,” Electron. Lett., vol. 22, pp. 569–570, May 1986.
7. K. Hayata, M. Koshiba, M. Eguchi, and M. Suzuki, “Elimination of spurious solutions in vectorial finite-element analysis of dielectric waveguides—a method using transverse magnetic-field component,” Electron. Commun. Jap., Part 2, vol. 70, no. 11, pp. 34–41, 1987.
8. S. H. Wong and Z. J. Cendes, “Combined finite element-model solution of three dimensional eddy current problems,” IEEE Trans. Magnetics, vol. 24, pp. 2685–2687, Nov. 1988.
9. K. Hayata and M. Eguchi, “Finite element formulation for guided-wave wave problems using transverse electric field components,” IEEE Trans. Microwave Theory Tech., vol. 37, pp. 256–258, Jan. 1989.
10. J. A. M. Svedin, “A numerically efficient finite-element formulation for the general waveguide problem without spurious modes,” IEEE Trans. Microwave Theory Tech., vol. 37, pp. 1708–1715, Nov. 1989.
11. M. Koshiba, K. Hayata, and M. Suzuki, “Finite-element method analysis of microwave and optical waveguides-trends in countermeasures to spurious solutions,” Electron. Commun. Jap., Part 2, vol. 70, no. 9, pp. 96–108, 1987.
12. W. Schroeder and I. Wolff, “A hybrid-mode boundary integral equation method for normal and superconducting transmission lines of arbitrary cross-section,” Int. J. Microwave and Millimeterwave Computer-Aided Eng., vol. 2, Oct. 1992.
13. A. K. Ganguly and B. E. Spielman, “Dispersion characteristics for arbitrarily configured transmission media,” IEEE Trans. Microwave Theory Tech., vol. MTT-25, pp. 1138–1141, Dec. 1977.
14. W. Schroeder and I. Wolff, “Full wave boundary integral analysis of integrated transmission lines: Origin and avoidance of spurious solutions,” in Proc. 20th European Microwave Conf, Budapest, Hungary, Sept. 1990.
15. M. Swaminatham, T. K. Sarkar, and A. T. Adams, “Computation of TM and TE modes in waveguides base on surface integral formulation,” IEEE Trans, Microwave Theory Tech., vol. 40, pp. 285–297, Feb. 1992.
16. D. G. Corr and J. B. Davies, “Computer analysis of fundamental and higher order modes in single and coupled microstrip,” IEEE Trans. Microwave Theory Tech., vol. MTT-20, pp. 669–678, Oct. 1972.
17. E. Schweig and W. B. Bridges, “Computer analysis of dielectric waveguides: A finite-difference method,” IEEE Trans. Microwave Theory Tech., vol. 32, pp. 531–541, May 1984.
18. A. Farrar and A. T. Adams, “Computation of propagation constants for the fundamental and higher order modes in microstrip,” IEEE Trans. Microwave Theory Tech., vol. MTT-24, pp. 456-460, July 1976.
19. W. Wertgen, “Elektrodynamische Analyse geometrisch komplexer (M) MIC-Strukturen mit effizienten numerischen strategien,” Ph.D. dissertation, Duisburg Univ., Duisburg, Germany, 1989.
20. D. R. Lynch and K. D. Paulsen, “Origin of vector parasites in numerical maxwell solutions,” IEEE Trans. Microwave Theory Tech., vol. 39, pp. 383–394, Mar. 1991.
21. A. Konrad, “On the reduction of the number of spurious modes in the vectorial finite-element solution of three-dimensional cavities and waveguides,” IEEE Trans. Microwave Theory Tech., vol. MTT-34, pp. 224–227, July 1986.
22. K. Bierwirth, N. Schulz, and F. Arndt, “Finite-difference analysis of rectangular dielectric waveguide structures,” IEEE Trans. Microwave Theory Tech., vol. MTT-34, pp. 1104–1114, Nov. 1986.
23. N. Schulz, K. Bierwirth, F. Arndt. and U. Koester, “Finite-difference method without spurious solutions for the hybrid mode analysis of diffused channel waveguides,” IEEE Trans. Microwave Theory Tech., vol. 38, pp. 722–729, June 1990.
24. A. Konard, “Vector variational formulation of electromagnetic fields in anisotorpic media,” IEEE Trans. Microwave Theory Tech., vol. MTT-24, pp. 553–559, Sept. 1976.
25. J. J. Dongarra, C. B. Moler, J. R. Bunch, and G. W. Stewart, LINPACK Users' Guide. SIAM, Philadelphia, 1979.