Matched load line

For matching it is necessary to have the shortest length for the line, i.e. instead of capacitance, choose an open line with a length of λ / 4, instead of inductive resistance, choose a short-circuited line with a length of λ / 4.



With a purely reactive load, there will also be standing waves in the line. Capacitive and inductive resistances can be replaced by open and short-circuited line segments. Only at the end of the line loaded on the reactance, there will be no antinodes or current and voltage nodes.

Lossless line loaded on resistive load




The equations for current and voltage at the end of the line contain two components


The first term traveling wave
Second term standing wave
If the line is not consistent with the load, i.e.K 1
in the line will be, and running, and standing waves.
If K = 0 or K = ∞, only standing waves will be in the line.
If K → 1, the traveling waves. When K = 1, there are no standing waves