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This article describes the generation of elastic shear waves in a soft medium using a laser beam. Experiments Our experiments  show two different regimes depending on laser energy. Physical modeling of the underlying phenomena reveals a thermoelastic regime due to caused by  a local dilatation resulting from temperature increase, and an ablative regime due to caused by  a partial vaporization of the medium by the laser. Computed theoretical displacements are close to experimental measurements. A numerical study based on the physical modeling givescomparable  propagation patterns as experimental ones. comparable to those generated experimentally.  These results provide a physical basis on for  the feasability feasibility  of a shear wave elastography technique using a laser beam.