by admin » 23 Jan 2007, 13:03
There is a very simple solution to that problem. Any value of load impedance can be transformed into any desired feed impedance by means of a quarter-wave section of transmission line that has a characteristic-impedance equal to the square root of the product of the other two impedances.
If you make a 37.5-ohm quarter-wave section of transmission line composed of two 75-ohm quarter-wave lengths of transmission line connected in parallel, and if you then insert that quarter-wave section of 37.5-ohm line between the Yagi antenna feed terminals and the 50-ohm transmission line going to the radio, it will transform 28.125 ohms to 50 ohms, because (37.5 * 37.5) / 50 = 28.125 ohms.
Note that the quarter-wave matching section must be quarter-wave-resonant to perform as described, so its length must be equal to the velocity-constant of the transmission line used in matching section times the free-space quarter-wavelength.
-Bob