Mutual 3:1 subharmonic synchronization in a micromachined silicon disk resonator

We demonstrate synchronization between two intrinsically coupled oscillators that are created from two distinct vibration modes of a single micromachined disk resonator. The modes have a 3:1 subharmonic frequency relationship and cubic, non-dissipative electromechanical coupling between the modes en...

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Bibliographic Details
Published in:Applied physics letters 2017-10, Vol.111 (18)
Main Authors: Taheri-Tehrani, Parsa, Guerrieri, Andrea, Defoort, Martial, Frangi, Attilio, Horsley, David A.
Format: Article
Language:English
Subjects:
Applied physics
Micromachining
Oscillators
Resonators
Signal processing
Synchronism
Vibration mode
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Summary:We demonstrate synchronization between two intrinsically coupled oscillators that are created from two distinct vibration modes of a single micromachined disk resonator. The modes have a 3:1 subharmonic frequency relationship and cubic, non-dissipative electromechanical coupling between the modes enables their two frequencies to synchronize. Our experimental implementation allows the frequency of the lower frequency oscillator to be independently controlled from that of the higher frequency oscillator, enabling study of the synchronization dynamics. We find close quantitative agreement between the experimental behavior and an analytical coupled-oscillator model as a function of the energy in the two oscillators. We demonstrate that the synchronization range increases when the lower frequency oscillator is strongly driven and when the higher frequency oscillator is weakly driven. This result suggests that synchronization can be applied to the frequency-selective detection of weak signals and other mechanical signal processing functions.
ISSN:0003-6951
1077-3118
DOI:10.1063/1.4997195