Modal "self-coupling" as a sensitive probe for nanomechanical detection

Abstract : We present a high-sensitivity measurement technique for mechanical nanoresonators. Due to intrinsic nonlinear effects, different flexural modes of a nanobeam can be coupled while driving each of them on resonance. This mode-coupling scheme is dispersive and one mode resonance shifts with respect to the motional amplitude of the other. The same idea can be implemented on a single mode, exciting it with two slightly detuned signals. This two-tone scheme is used here to measure the resonance lineshape of one mode through a frequency shift in the response of the device. The method acts as an amplitude-to-frequency transduction which ultimately suffers only from phase noise of the local oscillator used and of the nanomechanical device itself. We also present a theory which reproduces the data without free parameters
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Applied Physics Letters, American Institute of Physics, 2013, 103 (1), pp.013104. 〈10.1063/1.4812718〉
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Martial Defoort, Kunal Lulla, Christophe Blanc, Olivier Bourgeois, Eddy Collin, et al.. Modal "self-coupling" as a sensitive probe for nanomechanical detection. Applied Physics Letters, American Institute of Physics, 2013, 103 (1), pp.013104. 〈10.1063/1.4812718〉. 〈hal-00861803〉

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