Fundamental research on nonlinear coupling between nanomechanical resonators exploiting Fano resonance

Micromachanical cantilevers are widely used in frequency-shift-based sensor of mass, force, and manetic field. And these cantilevers are easily miniaturized and allow for integration with electronics. Un- fortunately, we don’t have a fully detailed understanding of their dynamics response at their micro and nano scale. There is a sur- pringly study grown rapidly into the dynamics response in micro and nano cnatilevers, to satisfy the demands of fundamental questions and practical needs. Recently, direct obervation of fano resonance from coupled cantilevers in arrays can greatly decrease the minimum detectable mass, thanks to an average ten-fold increase in Q factor of Fano peaks respect to Lorentzian ones. In this thesis, I demonstrate a method to study the shifts of Fano peaks. To implement this method, a signal generator is used to export a discrete exciting voltage up- rising slightly from a frequency below the resonace frequency to one up the resonance frequency. In the meanwhile, the Zurich Instrument is used to sweep and record a propriate gap of frequency in order to observe the shift of the Fano resonance. A program of Labview is performed, in which a structure controls the signal generator giving the discrete uprising voltage while the Zurich Instrument sweeps and records. After that, a new loop aumatically starts a new discrete volt- age following by a new sweep until reaching up the stop voltage which the program sets.