It seems that you can understand what you plot in a start of this thread,
https://www.edaboard.com/showthread.php?384833#1
ADS simply plots minimum=0.1+j*0 and maximum=3.0+j*0.
It was very long road and very tired.
So now we can say that each point on the smith chart simultaneously represents both a value of z and the corresponding value of reflection coefficient !
It is well known as conformal mapping of bilinear transformation mathematically.
Relation between aho and boke is bilinear transformation.
aho=(boke-1)/(boke+1), boke=(1+aho)/(1-aho)
Main axis which ADS plots data is rectangular.
ADS plots any complex number aho simply not boke.
ADS don't care whatever aho is.
If you identify aho as reflection coefficient Γ, boke is normalized impedance z.
Horizontal axis corresponds to real(aho).
Vertical axis corresponds to imag(aho).
Full circles correspond to real(boke).
Partial circles correspond to imag(boke).
because if it was to just show the aho alone what was the purpose of Inventing such chart at all ?
Read text on Smith Chart Basics.
Assume to calculate boke=(1+aho)/(1-aho) by hand each time.
It will be very tired.
Long ago, there was no complex number calculator.
So calculation of bilinear transformation boke=(1+aho)/(1-aho) was difficult and tired task.
Full circles and partial circles eliminates needs of hand calculation of boke=(1+aho)/(1-aho).
This was a motivation of Smith Chart.
See the followings.
**broken link removed**
**broken link removed**
https://www.edaboard.com/showthread.php?369815