Engineering Optical and Mirror Bi-stability Mechanically

We explain optical and mirrors displacement bistability in a hybrid optomechanical system in the presence of a strong laser driving field and a weak probe field. External modulating fields are applied selectively on movable mirrors. We show that the optomechanical coupling, electromechanical Coulomb coupling and, amplitude & phase of external modulating fields are important parameters to control the optical and mirror displacement bistable behaviour. The parameters values are taken according to presently available experiments. The study may be applied to the realization of a tunable electro opto mechanical switch depending on the optomechanical and Coulomb coupling, frequencies, threshold power, and the amplitude and phase of external mechanical pumps.