Andy adds:

I have often used a modified Smith Chart , called an
Impedance/Admittance
chart , to do matching..... If the impedances are not greatly
mismatched,
it is very easy and accurate.... and very very intuitive...

The ones I used have the impedance cordinates in black and the
admittance coordinates in red.....

I found them extremly useful in the design of an automated antenna
tuner
which I designed for a Texas Instruments Marine SSB unit, back in the
late 70s..... You could literally track the impedance transormation
mentally
with series and shunt elements.....


Andy W4OAH