Half wave transformer. Quarter wave transformer

Half wave transformer. In the vicinity of the point The argument of trigonometric functions can be presented as follows:

( For simplicity, it is assumed that the phase velocity in the transmission line does not depend on frequency. )

Putting in (3.21) , and , i.e., keeping the values ​​of the first order of smallness by get

(3.22) where —The normalized impedance of the transformer.

Quarter wave transformer. Using frequency variable representation where and believing in (3.21) , and we get

, (3.23)

Where - surge wave resistance for transmission lines interconnected by means of a quarter-wave transformer.