Question) A microwave resonator is connected as a one-port circuit, and its return loss is measured versus frequency. At resonance the return loss is 14 dB, while at 2.9985 GHz and at 3.0015 GHz the return loss is 11 dB (the half-power points). Determine the unloaded Q of the resonator. Do this for both series and parallel resonators. This question from Microwave system course. from pictuer below is the answer,now I need the solving.
Question) A microwave resonator is connected as a one-port circuit, and its return loss is measured versus frequency. At resonance the return loss is 14 dB, while at 2.9985 GHz and at 3.0015 GHz the return loss is 11 dB (the half-power points). Determine the unloaded Q of the resonator. Do this for both series and parallel resonators. This question from Microwave system course. from pictuer below is the answer,now I need the solving.
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Question) A microwave resonator is connected as a one-port circuit, and its return loss is measured versus frequency. At resonance the return loss is 14 dB, while at 2.9985 GHz and at 3.0015 GHz the return loss is 11 dB (the half-power points). Determine the unloaded Q of the resonator. Do this for both series and parallel resonators.
This question from Microwave system course.
from pictuer below is the answer,now I need the solving.
Transcribed Image Text:soL%
fe= 2.99 85 GHZ
f2 a 3, 00 15 GHz
so fo = 3,0000 GH z, BW>0.1%, QL= BW
= 1000.
at retonance,
RL=14 dB = r- 0.200 → r= # - 15
at fi or fz,
RL= IldB > -0,282
irl
suuming.
from l6.91), 3- --0. 67
28
a seruis retenande,
Z0 =+ =
•20
fi fo
Qo= CHg)QL = !667
assumuig
parallel rerenota :
K =r = 1.5
Qo = (1+g) QL= 2500
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