Title :
Analytical expansion of the dispersion relation for TLM condensed nodes
Author :
Trenkic, Vladica ; Christopoulos, Christos ; Benson, Trevor M.
Author_Institution :
Dept. of Electr. & Electron. Eng., Nottingham Univ., UK
fDate :
12/1/1996 12:00:00 AM
Abstract :
A method for obtaining analytical solutions of the general transmission line modeling (TLM) dispersion relation for condensed node schemes is described. Exact analytical forms of the dispersion relation for currently available nodes are derived, enabling the efficient study of dispersion solutions without resorting to a numerical solver. Using these analytical relations, the range and behavior of propagation errors are fully explored and visualized, not only for propagation along the axes and diagonals or in a coordinate plane, but for arbitrary angles of propagation in three-dimensional space. Comparisons are presented of the numerical performance of different TLM condensed node schemes
Keywords :
dispersion relations; error analysis; linear algebra; transmission line matrix methods; TLM condensed nodes; analytical expansion; dispersion relation; numerical performance; propagation errors; transmission line modeling; Dispersion; Eigenvalues and eigenfunctions; Electromagnetic scattering; Equations; Permeability; Permittivity; Polynomials; Transmission line matrix methods; Transmission lines; Visualization;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
