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Transmission Line Resonators

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Transmission Line ResonatorsChapter 6 Transmission Line Resonators

Outline


Prototype series and parallel resonant circuits
- Near resonance, a microwave resonator can be modeled by


A series RLC lumped-element equivalent circuit, or, A parallel RLC lumped-element equivalent circuit.



Transmission line resonators
- Resonators composed of


half- or quarter-wavelength transmission line.

Series and parallel resonant circuits
Series Resonant Circuit (resonance) The input impedance of a series resonant circuit is



The complex power delivered to the resonator is

Series and parallel resonant circuits


The power dissipated by the resistor is



The average magnetic energy stored in the inductor is



The average electric energy stored in the capacitor is

where Vc is the voltage across the capacitor.


The in……
Transmission Line Resonators
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