Abstract
The precise measurement of resonance frequency is very important to tune the cavity and stabilize the RF field. The minimal-reflection method is usually used to measure the cavity resonance frequency, but the accuracy may not meet the stability requirement for the superconducting cavity with narrow bandwidth. The falling-edge method with high precision has been used for the resonance frequency measurement of the normal conducting cavity, but it cannot be used directly for the superconducting cavity due to the effect of Lorentz Force Detuning (LFD). This paper presents the solution for applying the falling-edge method to measure the resonance frequency of superconducting cavity with LFD. The periodic iteration algorithm is developed to calculate the frequency detuning and phase shift caused by the dynamic Lorentz Force within RF falling-edge. The phase shift due to the deviation of initial resonance frequency is derived by subtracting the LFD item from the phase measurement, and the initial resonance frequency can be determined finally. The method has been tested on the superconducting cavity at CAFE facility, and the effectiveness has been demonstrated.
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