Two-dimensional parallel transmission line matrix solver for waveguide analysis

2007 ◽  
Vol 50 (1) ◽  
pp. 95-98 ◽  
Author(s):  
Caner Altinbasak ◽  
Lale T. Ergene
Keyword(s):  
Transmission Line ◽  
Two Dimensional ◽  
Transmission Line Matrix ◽  
Parallel Transmission

New transmission-line matrix node for two-dimensional electromagnetic field problems

1991 ◽  
Vol 69 (11) ◽  
pp. 1388-1398 ◽  
Author(s):  
N. R. S. Simons ◽  
A. A. Sebak
Keyword(s):  
Electromagnetic Field ◽  
Dispersion Relation ◽  
Transmission Line ◽  
Rectangular Lattice ◽  
Two Dimensional ◽  
Propagation Characteristics ◽  
Transmission Line Matrix ◽  
Central Difference ◽  
Simple Method ◽  
Velocity Error

In this paper a new transmission-line matrix (TLM) node for solving two-dimensional electromagnetic field problems is presented. The node is based on a hexagonal rather than rectangular lattice. The scattering matrix and dispersion relation of the new node are provided. The hexagonal TLM method is equivalent to an explicitly time-stepped finite difference algorithm that uses second-order accurate central difference approximations to spatial and temporal derivatives. Comparisons of the propagation characteristics are made with the original rectangular two-dimensional node. The propagation characteristics of the new node are a weak function of the direction of propagation. Therefore in general problems, the amount of velocity error at a given frequency can be obtained from the dispersion relation. A simple method for correcting the velocity error can be utilized to achieve accurate frequency-domain results for coarse discretizations.

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