Control of the threshold of the hard excitation mode of an optomechanical system by a low-intensity seed wave

An optomechanical system based on two optical modes, one of which is pumped by a coherent wave, interacting with each other via a phonon mode is considered. In such a system, a hard excitation mode can be realized in the region of bistability. It is demonstrated that excitation of an optical mode with a lower frequency by a low-intensity seed wave can lead to a significant reduction of the threshold of the hard excitation mode. This decrease is due to the fact that the seed wave changes the stability of solutions in the bistability region. This leads to the fact that switching from a non-generating state to a generating one occurs at lower values of the intensity of the pump wave. The obtained result paves the way for the creation of all-optical transistors and logical elements.