Abstract
We theoretically demonstrate the characteristics of an output probe field by considering a set of four mirrors that form a cavity system. In a set of four mirrors, two are fixed while two are moveable and each is driven by an external pump field. Each oscillatory mirror has an external plate (mirror) which can generate a Casimir force (CF). The two CFs affect the radiation pressure inside the cavity, influencing the output probe field profile. The double Fano profile is obtained in the presence of CF for different mechanical frequencies as well as for the same mechanical frequencies. Interestingly, we predicted that double Fano resonances occur in the presence of CF, while double optomechanically induced transparency (OMIT) occurs in the absence of CF. The switching between double Fano resonances and double OMIT is also investigated via CF.