  Molecular optomechanics stems from the description of Raman scattering in the
presence of an optical resonator using a cavity optomechanics formalism. We
extend the molecular optomechanics formalism to the case of hybrid
dielectric-plasmonic resonators, with multiple optical resonances and with both
free-space and waveguide addressing. We demonstrate how the Raman enhancement
is the product of a pump enhancement and a modified LDOS, that simply depend on
the complex response functions of the hybrid system. The Fano lineshapes that
result from hybridization of a broadband and narrowband modes allows reaching
strong Raman enhancement with high-Q resonances, paving the way towards
sideband resolved molecular optomechanics. The model allows prediction of the
Raman emission ratio into different output ports and enables demonstrating a
fully integrated high-Q Raman resonator exploiting multiple cavity modes
coupled to the same waveguide.
