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……
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