One other constraint is that with a transmission line the locus (as the line length increases) of the input reflection coefficient of the line must rotate in the clockwise direction. 2.13 A TL with characteristic impedance 50 and length 0.25 has a forward propagating wave v (z, t) 2 cos(t z) and a reflected backward. Smith chart is really just a plot of complex reflection coefficient overlaid with a normalized characteristic impedance (1 ohm) and/or admittance (1 mho or siemen) grid. \) to 1 needs to lie on these circles and the intermediate point will be where these circles intersect.
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