Spatial mapping of intrinsic and readout nonlinearities in a strongly-driven micromechanical membrane

Abstract

Recently, it was shown that strongly driven micromechanical resonators show mode shapes that strongly differ from the eigenmodes. This raises the question of the origin of this nonlinear behavior. We measure the spatial dependence of the nonlinearities of high-stress micromechanical membranes. The mechanical nonlinearity is determined from the frequency response and is found to be independent of the probing location. It is the phase of the response that is instrumental in extracting that intrinsic nonlinearity. Our interferometric readout results in high-harmonics generation. These harmonics have a clear spatial profile that shows ring-like patterns resembling previous reports. These patterns are reproduced by a model of the displacement-dependent reflection signal in combination with motion amplitudes of the same order as the probing wavelength.

References in corpus (8)

• Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
• Observation of Radiation Pressure Shot Noise on a Macroscopic Object
• High quality mechanical and optical properties of commercial silicon nitride membranes
• Nonlinear modal interactions in clamped-clamped mechanical resonators
• Intrinsic dissipation in nanomechanical resonators due to phonon tunneling
• High-Q Nanomechanics via Destructive Interference of Elastic Waves
• Spatial modulation of nonlinear flexural vibrations of membrane resonators
• Amplitude calibration of 2D mechanical resonators by nonlinear optical transduction