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Recently [A. Xuereb, et al., Phys. Rev. Lett. 105, 013602 (2010)], wecalculated the radiation field and the optical forces acting on a moving objectinside a general one-dimensional configuration of immobile optical elements. Inthis article we analyse the forces acting on a semi-transparent mirror in the'membrane-in-the-middle' configuration and compare the results obtained fromsolving scattering model to those from the coupled cavities model that is oftenused in cavity optomechanical system. We highlight the departure of this modelfrom the more exact scattering theory when the reflectivity of the movingelement drops below about 50%.

Dynamical scattering models in optomechanics: Going beyond the 'coupled cavities' model