Rev. Sci. Instrum. 85, 104706 (2014); doi: 10.1063/1.4897478

A modified model of helical resonator with predictable loaded resonant frequency and Q-factor

K. Deng, Y. L. Sun, W. H. Yuan, Z. T. Xu, J. Zhang, Z. H. Lu, and J. Luo

MOE Key Laboratory of Fundamental Quantities Measurement, School of Physics,

Huazhong University of Science and Technology, Wuhan 430074, China

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High voltage radio frequency (RF) supply is a critical part in an ion trapping system. The RF supply should have high Q-factor and relatively high driving frequency. A frequently used RF supply for an ion trap system is a helical resonator. In certain applications, it is advantageous to have a predictable resonant frequency and Q-factor when the helical resonator is connected to a capacitive load. We develop a model to describe the behavior of a helical resonator with capacitive load.With this model, we can correctly predict the loaded resonant frequency and the loaded Q-factor. To test our prediction, we construct a helical resonator, and measure its resonant frequencies and Q-factors under different capacitive loads. The experimental results agree with our prediction.