High intermodulation gain in a micromechanical Duffing resonator

Abstract

In this work we use a micromechanical resonator to experimentally study small signal amplification near the onset of Duffing bistability. The device consists of a PdAu beam serving as a micromechanical resonator excited by an adjacent gate electrode. A large pump signal drives the resonator near the onset of bistability, enabling amplification of small signals in a narrow bandwidth. To first order, the amplification is inversely proportional to the frequency difference between the pump and signal. We estimate the gain to be about 15dB for our device.

References in corpus (5)

• Noise-enabled precision measurements of a Duffing nanomechanical resonator
• Metastability and the Casimir Effect in Micromechanical Systems
• Synchronization by Nonlinear Frequency Pulling
• Classical dynamics of a nano-mechanical resonator coupled to a single-electron transistor
• Mechanical Mixing in Nonlinear Nanomechanical Resonators

Cited by in corpus (19)

• Performance of cavity-parametric amplifiers, employing Kerr nonlinearites, in the presence of two-photon loss
• Mass Detection with Nonlinear Nanomechanical Resonator
• Response of the Strongly-Driven Jaynes-Cummings Oscillator
• Noise Squeezing in a Nanomechanical Duffing Resonator
• Signal amplification in a nanomechanical Duffing resonator via stochastic resonance
• Forced and self-excited oscillations of an optomechanical cavity
• Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator
• Radiative heat transfer in nonlinear Kerr media
• Nonlinear mechanics with photonic crystal nanomembranes
• Non-linear Frequency Transduction of Nano-mechanical Brownian Motion
• Thermal radiation from optically driven Kerr (${\chi }^{(3)}$) photonic cavities
• Addressing geometric non-linearities with cantilever MEMS: beyond the Duffing model
• Displacement Detection with a Vibrating RF SQUID: Beating the Standard Linear Limit
• Nonlinear motion and mechanical mixing in as-grown GaAs nanowires
• Amplification and spectral evidence of squeezing in the response of a strongly driven nanoresonator to a probe field
• Signal to noise ratio in parametrically-driven oscillators
• Frequency-comb response of a parametrically-driven Duffing oscillator to a small added ac excitation
• Modal "self-coupling" as a sensitive probe for nanomechanical detection
• Micromanipulation transfer of membrane resonators for circuit optomechanics