Matching Networks and Stub Tuning
You can find the required transmission line length and stub length by only inputing load impedance and charecteristic impedance of the transmission line.
Stubs are realized both open circuit and short circuit.
Note : All numerical values is presented in terms of lamda of the transmission line
Example :
What is Z0 : 50
What is stub charecteristic impeadance? : 75
What is ZL : 100+80j
d1 = %first solution or second solution it is arbitrary
0.2134 %length from load to stub
lo1 = %length from open circuit towards generator for 1 solution
0.3238
ls1 = %length from short circuit towards generator for 1 solution
0.0738
d2 = %first solution or second solution it is arbitrary
0.3697
lo2 = %length from open circuit towards generator for 2 solution
0.1762
ls2 = %length from short circuit towards generator for 2 solution
0.4262
NOTE : This is only to ease the calculations. Not practical use can be found.(For example : single frequency)