A Field Theoretical Derivation of TLM

IEEE Transactions on Microwave Theory and Techniques

Volumn 42, Issue 9, 1994, Pages 1660-1668

  Krumpholz, Michael ^a   Russer, Peter ^a  

^a LEIBNIZ INSTITUT FÜR HÖCHSTFREQUENZTECHNIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; ELECTROMAGNETIC FIELDS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NUMERICAL METHODS;

FIELD THEORETICAL DERIVATION; MAXWELL'S EQUATIONS; METHOD OF MOMENTS; TRANSMISSION LINE MATRIX;

TRANSMISSION LINE THEORY;

EID: 0028497904     PISSN: 00189480     EISSN: 15579670     Source Type: Journal    
DOI: 10.1109/22.310559     Document Type: Article

References (12)

1. W. J. R. Hoefer, “The transmission line matrix (TLM) Method,” T. Itoh, Ed. Numerical Techniques for Microwave and Millimeter Wave Passive Structures. New York: Wiley 1989, pp. 496–591.
2. G. Kron, “Equivalent circuit of the field equations of Maxwell I,” Proc. IRE, vol. 32, pp. 289–299, May 1944.
3. P. B. Johns, “A symmetrical condensed node for the TLM-Method,” IEEE Trans. Microwave Theory Tech., vol. MTT-35, pp. 370–377, April 1987.
4. P. Russer and M. Krumpholz, “The Hilbert space formulation of the TLM Method,” Int. J. Numerical Modelling: Electronic Networks, Devices and Fields, vol. 6, no. 1, pp. 29–45, Feb. 1993.
5. P. A. M. Dirac, Quantum Mechanics, 4th ed., Oxford, UK: Oxford University Press.
6. P. Russer, “Overview over discrete time domain methods in electromagnetic field computation,” Int. Workshop Discrete Time Domain Modeling of Electromagnetic Fields and Networks, German IEEE MTT/AP joint chapter and CAS chapter, Munich, October 1991.
7. M. Krumpholz and P. Russer, “Discrete time-domain Green's functions for three-dimensional TLM modeling of the radiating boundary conditions,” ACES 1993, Monterey, CA, pp. 458–466, Mar. 1993.
8. P. P. M. So and W. J. R. Hoefer, “A new look at the 3D condensed node TLM scattering,” IEEE MTT Symp. Dig., vol. 3, pp. 1443–1446, June 1993.
9. R. E. Collin, Field Theory of Guided Waves, 2nd ed. New York: IEEE Press, 1991, pp. 184–192.
10. R. F. Harrington, Field Computation by Moment Methods. Malabar, FL: Krieger, 1982.
11. I. Stakgold, Green's Functions and Boandary Value Problems. New York: Wiley, 1979, pp. 86–184.
12. K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media,” IEEE Trans. Antennas Propagat., vol. AP-14, no. 3, pp. 302–307, May 1966.