Methods for noise reduction and quality factor improvement in resonators

A low phase noise dual mode resonator and a method of making and using said resonator is disclosed. The dual mode resonator is capable of sustaining two frequency vibration modes simultaneously. The two frequency vibration modes are capable of exhibit non-linear coupling when one is driven at a higher voltage than the other. The dual mode resonator is configured such that the ratio of the two vibration frequency modes is a value that maximizes the non-linear coupling effect. As a result of the non-linear effect, the phase noise on the mode that is not overdriven is reduced.