Field and Wave Electromagnetics 2nd Edition by David Cheng

Exercise 81

If the load impedance in Problem is changed to 100 +j50 ( ), one discovers that a perfect match using the double-stub method with d 0 = 3. /8 and one stub connected d.irectly across the load is not possible. However, the modified arrangement shown in Fig. 9-43 can be used to match this load with the line.
a) Find the minimum required additional line length d L.
b) Find the required lengths of the short-circuited stub tuners, using the minimum d L found in part (a).
Problem:
The double-stub method is used to match a load impedance 100 + jl 00 ( ) to a lossless transmission line of characteristic impedance 300 ( ). The spacing between the stubs is 3 /8, with one stub connected directly in parallel with the load. Determine the lengths of the stub tuners
(a) if they are both short-circuited, and
(b) if they are both open-circuited.