Generalized Dispersion Analysis and Spurious Modes of 2-D and 3-D TLM Formulations

IEEE Transactions on Microwave Theory and Techniques

Volumn 41, Issue 8, 1993, Pages 1375-1384

  Nielsen, John S ^a   Hoefer, Wolfgang J R ^b  

^a Lockheed Canada Inc ^*  (Canada)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELECTRIC LINES; ELECTROMAGNETIC DISPERSION; ELECTROMAGNETIC FIELDS; EQUIVALENT CIRCUITS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MATRIX ALGEBRA; RECURSIVE FUNCTIONS; THREE DIMENSIONAL; TIME DOMAIN ANALYSIS;

NODE MESHES; SERIES MESHES; SHUNT MESHES; TRANSMISSION LINE MATRIX; TWO DIMENSIONAL;

TRANSMISSION LINE THEORY;

EID: 0027646937     PISSN: 00189480     EISSN: 15579670     Source Type: Journal    
DOI: 10.1109/22.241679     Document Type: Article

References (16)

1. 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.
2. L. N. Trefethen, “Group velocity in finite difference schemes,” SIAM Rev., vol. 24, no. 2, pp. 113–135, Apr. 1982.
3. W. E. Boyse, D. Lynch, K. Paulsen, and G. Minerbo, “Nodal based finite element modeling of Maxwell's equations,” IEEE Trans. Antennas Propagat., vol. 40 pp. 642–651, June 1992.
4. P. B. Johns and R. L. Beule, “Numerical solution of 2-dimensional scattering problems using a transmission line matrix,” Proc. IEE, vol. 118, no. 9, pp. 1203–1208, Sept. 1971.
5. I P. B. Johns, “On the relationship between TLM and finite difference methods for Maxwell's equations,” IEEE Trans. Microwave Theory Tech., vol. MTT-35, pp. 60–61, Jan. 1987.
6. R. Voelker and R. Lomax, “A finite-difference transmission line matrix method incorporating a nonlinear device model,” IEEE Trans. Microwave Theory Tech., vol. MTT-38, pp. 302–312, Mar. 1990.
7. Z. Chen, W.J.R. Hoefer, and M.M. Ney, “A new finite difference time domain formulation equivalent to the TLM symmetrical condensed node,” in MTT-S Dig., 1991.
8. C. R. Brewitt-Taylor and P. B. Johns, “On the construction and numerical solution of transmission-line and lumped network models of Maxwell's equations,” Int. J. Numer. Meth. Eng., vol. 19, pp. 13–30, 1980.
9. W. J. R. Hoefer, “The Transmission Line Matrix (TLM) method,” in Numerical Techniques for Microwave and Millimeter-Wave Passive Structures, T. Itoh, Ed. New York: Wiley 1989, ch. 8.
10. J. Nielsen and W.J.R. Hoefer, “A complete dispersion analysis of the condensed node TLM mesh,” IEEE Trans. Magn., vol. 27, pp. 3982–3985, Sept. 1991.
11. J. S. Nielsen, “Spurious modes of the TLM-condensed node formulation,” IEEE Microwave Guided Lett., vol. 1, pp. 201–203, Aug. 1991.
12. J. S. Nielsen “TLM analysis of microwave and millimeter wave structures with embedded nonlinear devices,” Ph.D. dissertation, Univ. Ottawa, 1992.
13. N. R. Simons and E. Bridges, “Equivalence of propagating characteristics for the transmission-line matrix and finite-difference time domain methods in two dimensions,” IEEE Trans. Microwave Theory Tech., vol. 39, pp. 354–357, Feb. 1991.
14. S. Akhtarzad and P. B. Johns, “Solution of 6-component electromagnetic fields in three space dimensions and time by the T.L.M. method,” Electron. Lett., vol. 10, pp. 535–537, Dec. 12, 1974.
15. K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media,” IEEE Trans. Antennas Propagat., vol. AP-14, pp. 302–307, May 1966.
16. P. B. Johns, “A symmetrical condensed node for the TLM method,” IEEE Trans. Microwave Theory Tech., vol. MTT-35, pp. 370–377, Apr. 1987.