What is a transmission line resonator ?

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SUMMARY

The discussion focuses on the function and characteristics of a transmission line resonator (TLR) within the context of circuit quantum electrodynamics (QED). A TLR acts as a cavity, utilizing a 10-nanosecond long section of 50-ohm RG-8 cable, which is shorted at one end. The impedance and phase measurements taken across frequencies from 0 to 200 MHz illustrate the operational principles of the TLR, highlighting its behavior at various frequency points, such as being shorted at 50, 100, 150, and 200 MHz, and functioning as a quarter-wave transformer at 25, 75, 125, and 175 MHz.

PREREQUISITES
  • Understanding of circuit quantum electrodynamics (QED)
  • Knowledge of transmission line theory
  • Familiarity with impedance and phase measurement techniques
  • Experience with 50-ohm transmission lines, specifically RG-8
NEXT STEPS
  • Research the principles of circuit QED and its applications
  • Study transmission line theory in-depth, focusing on resonant behavior
  • Explore impedance matching techniques in RF circuits
  • Learn about quarter-wave transformers and their role in RF applications
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Electrical engineers, physicists, and researchers interested in circuit quantum electrodynamics and the design of resonant circuits using transmission lines.

hiyok
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Hi,
I'm learning something on circuit QED, which has a part called transmission line resonator (TLR). It plays the role of a cavity. However, I don't get how it works that way.
Can anyone give some help ?
Thanks in advance !
 
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Here in thumbnail is a swept-frequency ( 0 to 200 MHz) impedance and phase measurement of a 10-nanosecond long section of 50-ohm RG-8, shorted at the far end. The solid line is the impedance (volts, left scale), and the dotted line is the phase (right scale). The near end of the transmission line is shorted at 50, 100, 150, and 200 MHz. It is open (quarter-wave transformer) at 25, 75, 125, and 175 MHz. This is the basis for a transmission line resonator.

Bob S
 

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Bob, thanks for your help !
 

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