microwave software®
Utilities+® User Manual
RF/Microwave Design Utility Programs
TRL2 MATCH
It's a well known fact that a 45 degree (eighth-wave) length of transmission line will translate any real complex impedance to a pure real resistive value. It's also well known that a 90 degree (quarter-wave) transmission line will translate one real value into another real value. A really nice narrow band match scheme is to use a tandem connection of quarter-wave and eighth-wave lines to translate a complex impedance into a real one.
In the sketch below, section Z2 is the eighth-wave transmission line section. It translates ZL, which is complex, into R', the mid-point pure resistance. Line section Z1, a quarter-wave long transmission line, then translates R' to Rin.
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TRL2 Match Match a complex load ZL = RL + jXL to a real input, Rin, using eighth-wave and quarter-wave lines. Units: ohms,degrees Enter Rin,RL,XL [<Enter>=Quit] ? _ |
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As an example, consider a need to match
a 10+j15 ohm load to a 50 ohm source. At the prompt above, enter "50,10,15"
and then press <Enter>.
Here is the output calculation:
Z1 = 55.358 ohms
Z2 = 18.028 ohms
R' = 61.290 ohms
Here is the output calculation:
Z1 = 55.358 ohms
Z2 = 18.028 ohms
R' = 61.290 ohms
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