The aim of this work is to study the coupling between the propagation of an optical wave and the hydrodynamics of a liquid-liquid interface, giving birth to a new discipline : the optohydrodynamics. Applications in this field are numerous including for instance the optical measurement of liquid physical properties or contactless manipulation of objects at micrometric scale. Our objective is to understand surface and volume effects of an intense optical wave on a system composed of two immiscible liquids. Momentum and mass conservation equations along with a stress jump condition at the interface representing the equilibrium between viscous, capillary, gravitational forces and optical radiation pressure are solved numerically. this is performed in axisymmetric coordinates using a Boundary Integral Element Method (BIEM). The resolution is validated for both equilibrium and dynamics of the interface by comparing numerical results to experimental data and analytical predictions obtained from theoretical models in the case of small deformation amplitude when interface extension is very large compared to the beam waist. The influence of the direction of propagation of the laser on the interface deformation is analyzed and a comparison is performed with experimental results. Volume effects of the optical wave are studied showing permanent flows within the two phases interplaying with the shape of the interface. Finite size and finite volume effects are finally studied. In particular, effects of the optical radiation pressure on the deformation of a liquid drop are studied in both cases of a stretched or compressed sessile drop.
