Frequency tuning and stabilization of oscillator in diamagnetic levitation system

Frequency has always been one of the most significant parameters of mechanical oscillators in the field of weak signal sensing. Frequency tuning and stabilization are essential for enhancing precision and reliability during precision measurements. We propose and experimentally demonstrate a method to tune and stabilize the oscillator’s frequency in the diamagnetic levitation system. In our method, a charged gold-foiled glass plate is positioned between the oscillator and the magnets, allowing for the modification of the electrical force between the oscillator and the gold foil. This adjustment enables fine-tuning of the frequency within a 10 mHz range and achieves a standard deviation of frequency of 60 μHz and a fractional frequency fluctuation of 2.7 ppm over a 16-h period. The compact design and rapid response of our device make it highly adaptable for a variety of applications. Our method paves the way for future ultra-precision measurements in diamagnetic levitation systems.