Origin of Vector Parasites in Numerical Maxwell Solutions

IEEE Transactions on Microwave Theory and Techniques

Volumn 39, Issue 3, 1991, Pages 383-394

  Lynch, Daniel R ^a   Paulsen, Keith D ^a  

^a DARTMOUTH COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC FIELD THEORY; MATHEMATICAL TECHNIQUES - BOUNDARY VALUE PROBLEMS;

EM DISPERSION; FINITE DIFFERENCE GRID; MAXWELL CURL EQUATIONS; PENALTY EQUATION; VECTOR PARASITES; VETTOR HELMHOLTZ EQUATION;

ELECTROMAGNETIC WAVES;

EID: 0026117419     PISSN: 00189480     EISSN: 15579670     Source Type: Journal    
DOI: 10.1109/22.75279     Document Type: Article

References (19)

1. Z. J. Cendes and P. P. Silvester, “Numerical solution of dielectric loaded waveguides: I—Finite element analysis,” IEEE Trans. Microwave Theory Tech., vol. MTT-18, pp. 1124–1131, 1970.
2. D. G. Corr and J. B. Davies, “Computer analysis of the fundamental and higher order modes in single and coupled microstrip,” IEEE Trans. Microwave Theory Tech., vol. MTT-20, 669–678, 1972.
3. J. B. Davies, F. A. Fernandez, and G. Y. Philippou, “Finite element analysis of all modes in cavities with circular symmetry,” IEEE Trans. Microwave Theory Tech., vol. MTT-30, pp. 1975–1980, 1982.
4. M. Koshiba, K. Hayata, and M. Suzuki, “Finite element formulation in terms of the electric field vector for electromagnetic waveguide problems,” IEEE Trans. Microwave Theory Tech., vol. MTT-30, pp. 900–905, 1985.
5. 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, 1986.
6. A. R. Pinchuk, C. W. Crowley, and P. P. Silvester, “Spurious solutions to vector diffusion and wave field problems,” IEEE Trans. Magn., vol. 24, 158–161, 1988.
7. K. D. Paulsen and D. R. Lynch, “Elimination of vector parasites in finite element Maxwell solutions,” pp. 395–404, this issue.
8. K. S. Yee, “Numerical solution of initial boundary value problems in isotropic media,” IEEE Trans. Antennas Propagat., vol. AP-14, pp. 302–307, 1966.
9. A. Taflove and M. E. Brodwin, “Numerical solution of steady-state electromagnetic scattering problems using the time-dependent Maxwell’s equations,” IEEE Trans. Microwave Theory Tech., vol. MTT-23, 623–630, 1975.
10. A. C. Cangellaris, C. C. Lin, and K. K. Mei, “Point-matched time-domain finite element methods for electromagnetic radiation and scattering,” IEEE Trans Antennas Propagat., 1160–1173, 1987.
11. N. K. Madsen and R. W. Ziolkowski, “Numerical solution of Maxwell’s equations • in the time-domain using irregular nonorthogonal grids,” Wave Motion, vol. 10, pp. 583–596, 1988.
12. M. L. Barton and Z. J. Cendes, “New vector finite elements for three-dimensional magnetic field computation,” J. Appl. Phys., vol. 61, pp. 3919–3921, 1987.
13. C. W. Crowley, P. P. Silvester, and H. Hurwitz, “Covariant projection elements for 3D vector field problems,” IEEE Trans. Magn., vol. 24, pp. 397–400, 1988.
14. A. F. Peterson, “Finite element solution of the vector wave equation using divergenceless basis functions,” in Proc. 1989 IEEE AP-S Int. Symp., vol. III, pp. 1624–1627.
15. A. Konrad, “A method for rendering 3D finite element vector field solutions non-divergent,” IEEE Trans. Magn., vol. 25, pp. 2822–2824, 1989.
16. 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. 922–928, 1984.
17. M. A. Morgan, “Coupled potentials for electromagnetic fields in homogeneous media,” in Finite Element and Finite Difference Methods in Electromagnetic Scattering, M. A. Morgan, Ed. New York: Elsevier, 1990, pp. 211–247.
18. D.R. Lynch and K. D. Paulsen, “Time-domain integration of the Maxwell equations on finite elements,” IEEE Trans. Antennas Propagat., vol. 38, pp. 1933–1942, Dec. 1990.
19. X. Yuan, D.R. Lynch, and K. D. Paulsen, “Importance of normal field continuity in inhomogeneous scattering calculations,” IEEE Trans. Microwave Theory Tech., to be published.