On the theory of stimulated Brillouin scattering with Stokes feedback

The interaction of hypersound and light inside a laser cavity with Stokes feedback is studied. Quantum equations of motion for the creation operators of the laser and Stokes modes, and the acoustic mode coupled to them, are derived. Using the quasi-classical approximation, these equations are transformed into a system of nonlinear differential equations for the classical field amplitudes. Stationary solutions of the system are obtained and the conditions under which such solutions exist are determined. Instability criteria are also established.