1 Chapter 6 Microwave resonators EMLAB Resonators 3

1 Chapter 6. Microwave resonators EMLAB

Resonators-반사, 투과 3 EMLAB

6. 1 Series & parallel resonant circuits 4 S-parameter of series resonator Characteristic impedance EMLAB

Bandwidth of series resonator 5 Standard form of 2 nd order eq. EMLAB

8 Qloaded, Qunloaded of a series resonator Unloaded Q는 resonator만의 손실에 의한 Q, loaded Q는 source 및 부하의 손실에 의한 Q. 부하에 의한 Q Resonator에 의한 Q External Q는 소스 및 부하에 의한 Q EMLAB

S-parameter of parallel resonators 9 EMLAB

Bandwidth of parallel resonator 10 EMLAB

Qloaded, Qunloaded of a parallel resonator 11 External Q는 소스 및 부하에 의한 Q EMLAB

Series resonator 에서 저항의 효과 (Qunloaded) Losses in resonator 13 Insertion loss가 커짐. R = 30 [Ohm] R = 1 [Ohm] Series resonator의 직 렬 저항이 크면 S 21 의 값이 작아진다. (loss때문에) EMLAB

Parallel resonator 회로에서 저항의 효과 14 Insertion loss 가 커짐. R = 100 [Ohm] R = 1 k [Ohm] Parallel resonator의 병렬 저 항이 작으면 S 21의 값이 작 아진다. (loss때문에) EMLAB

Energy 관점에서 본 resonance 15 • Resonance : • Unloaded Q-factor : resonator 자체의 손실 Average magnetic energy stored Average electric energy stored EMLAB

Transmission line resonator : λ/2 + short 16 EMLAB

Transmission line resonator : λ/2 + short 17 : for lossy transmission line EMLAB

Impedance of series resonator 18 EMLAB

19 Figure 6. 4 (p. 273) A short-circuited length of lossy transmission line, and the voltage distributions for n = 1 resonators. EMLAB

Transmission line resonator : λ/4 + short 20 EMLAB

Impedance of parallel resonator 21 EMLAB

Open-circuited λ/2 line 22 Figure 6. 5 (p. 276) An open-circuited length of lossy transmission line, and the voltage distributions for n = 1 resonators. EMLAB