Two-membrane cavity optomechanics: non-linear dynamics

Abstract We study the non-linear dynamics of a multimode optomechanical system constituted driven high-finesse Fabry–Pérot cavity containing two vibrating dielectric membranes. The analytical allows to derive full and consistent description displacement detection by probe beam in regime, enabling faithful membrane displacements well above usual sensing limit corresponding linewidth. In weak driving regime where is pre-synchronized situation, unexcited oscillator has small, synchronized component at frequency excited one; both large small amplitude resonator motions are transduced nontrivial way response optical beam. find perfect agreement between experimental results, numerical simulations, an approach based on slowly-varying equations.