Analytical and semi-analytical formalism for the voltage and the current sources of a superconducting cavity under dynamic detuning

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Abstract

Elliptical superconducting radio frequency (SRF) cavities are sensitive to frequency detuning because they have a high Q value in comparison with normal conducting cavities and weak mechanical properties. Radiation pressure on the cavity walls, microphonics, and tuning system are possible sources of dynamic detuning during SRF cavity-pulsed operation. A general analytic relation between the cavity voltage, the dynamic detuning function, and the RF control function is developed. This expression for the voltage envelope in a cavity under dynamic detuning and dynamic RF controls is analytically expressed through an integral formulation. A semi-analytical scheme is derived to calculate the voltage behavior in any practical case. Examples of voltage envelope behavior for different cases of dynamic detuning and RF control functions are shown. The RF control function for a cavity under dynamic detuning is also investigated and as an application various filling schemes are presented.

Original languageEnglish
Pages (from-to)51-63
Number of pages13
JournalNuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
Volume496
Issue number1
DOIs
StatePublished - Jan 1 2003
Externally publishedYes

Funding

We are very thankful to all our colleagues at SNS/ORNL and especially to Dr. John Galambos for helping the editing. This work is sponsored by the Division of Materials Science, US Department of Energy, under contraction number DE-AC05-96OR22464 with UT-Bettelle Corporation for Oak Ridge National Laboratory.

FundersFunder number
Division of Materials Science
US Department of EnergyDE-AC05-96OR22464

    Keywords

    • Dynamic detuning
    • Lorentz detuning
    • RF control
    • Superconducting cavity

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