Frequency stabilization of self-sustained oscillations in a sideband-driven electromechanical resonator
arXiv:2405.10977 · doi:10.1103/PhysRevApplied.22.034072
Abstract
We present a method to stabilize the frequency of self-sustained vibrations in micro- and nanomechanical resonators. The method refers to a two-mode system with the vibrations at significantly different frequencies. The signal from one mode is used to control the other mode. In the experiment, self-sustained oscillations of micromechanical modes are excited by pumping at the blue-detuned sideband of the higher-frequency mode. Phase fluctuations of the two modes show near perfect anti-correlation. They can be compensated in either one of the modes by a stepwise change of the pump phase. The phase change of the controlled mode is proportional to the pump phase change, with the proportionality constant independent of the pump amplitude and frequency. This finding allows us to stabilize the phase of one mode against phase diffusion using the measured phase of the other mode. We demonstrate that phase fluctuations of either the high or low frequency mode can be significantly reduced. The results open new opportunities in generating stable vibrations in a broad frequency range via parametric downconversion in nonlinear resonators.
References in corpus (23)
- Cavity Optomechanics
- Analysis of radiation-pressure induced mechanical oscillation of an optical microcavity
- Dynamical multistability in high-finesse micromechanical optical cavities
- Self-oscillation
- Dynamic manipulation of mechanical resonators in the high amplitude regime through optical backaction
- Self-induced oscillations in an optomechanical system
- Surpassing fundamental limits of oscillators using nonlinear resonators
- A Nanoscale Parametric Feedback Oscillator
- Mesoscopic physics of nanomechanical systems
- Microwave cavity-enhanced transduction for plug and play nanomechanics at room temperature
- Optimal operating points of oscillators using nonlinear resonators
- Symmetry breaking in a mechanical resonator made from a carbon nanotube
- Self-sustained micromechanical oscillator with linear feedback
- Phase-Locked Loop based Resonant Sensors: A Rigorous Theory and General Analysis Framework for Deciphering Fundamental Sensitivity Limitations due to Noise
- A Passive Phase Noise Cancellation Element
- Frequency stabilization and noise-induced spectral narrowing in resonators with zero dispersion
- Correlated anomalous phase diffusion of coupled phononic modes in a side-band driven resonator
- Injection-locked phonon lasing driven by an individual plasmonic metamolecule
- Experimental exploration of the optomechanical attractor diagram and its dynamics
- Amplitude stabilization in a synchronized nonlinear nanomechanical oscillator
- Low-power photothermal self-oscillation of bimetallic nanowires
- Suppressing Frequency Fluctuations of Self-Sustained Vibrations in Underdamped Nonlinear Resonators
- Phase noise of oscillators with unsaturated amplifiers