Parametric interaction of microwave guide with nanomechanical resonator

The paper is devoted to the calculation of dynamic and fluctuation characteristics of nanoelec-tromechanical system which represents microwave strip resonator interacting by means of parametric capacitance with the low frequency nanomechanical oscillator. In the linear approximation to the displacement of the capacitance plate of the mechanical resonator we obtain the analytical expressions for the oscillation amplitude of nanomechanical resonator, its effective damping and frequency detuning, spectral density of its displacement fluctuations as the functions of the driving microwave frequency and the input microwave power. In addition, we calculate the voltage-frequency characteristics and fluctuation spectrum for the output low frequency modulation signal which is caused by the influence of mechanical oscillator. The results obtained in the paper can be useful for the development of supersensitive devices based on nanomechanical resonators.