Transmission-line matrix method: Difference between revisions

Revision as of 16:11, 8 October 2017

Revision as of 03:39, 26 November 2018

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In order to describe the connection between adjacent nodes by a mesh of series nodes, look at the figure on the right. As the incident pulse in timestep ''k+1'' on a node is the scattered pulse from an adjacent node in timestep ''k'', the following connection equations are derived:

: <math>_{k+1}V^i_1(x,y)=_kV_{k+1}V^r_3(x,y-1)</math>

: <math>_{k+1}V^i_2(x,y)=_kV_{k+1}V^r_4(x-1,y)</math>

: <math>_{k+1}V^i_3(x,y)=_kV_{k+1}V^r_1(x,y+1)</math>

: <math>_{k+1}V^i_4(x,y)=_kV_{k+1}V^r_2(x+1,y)</math>

By modifying the scattering matrix <math>\textbf{S}</math> inhomogeneous and lossy materials can be modelled. By adjusting the connection equations it is possible to simulate different boundaries.