This example shows the results of using a quarter wave transformer.

The quarter wave transformer transforms the 50 W into a real impedance (less than or greater than 50 W) which is followed by a short length of a transmission line which brings the impedance to the required impedance level (or admittance or reflection coefficent value).

• Draw a circle with the radius equal to the required reflection coefficient magnitude (green arc).
• Transform 50 W to a higher (or lower) impedance. This impedance is obtained from the intersection of the refkction coefficent circle and the real axis (red line)
• Read the impedance from the Smith Chart
• Find the necessary charateristic impedance of the quarter wave transformer
• Read the lenght of the 50 W transmission line which will transform this impedance into the required input impedance.
• You can then find the necessary physical lengths of the matching networks.

Note: There are two solutions to this matching network.