Stimulated Brillouin scattering is investigated here under conditions characterized by high optical pump intensity. Calculations are carried out at 1.3 and 3.8 μm with pump intensities equal to approximately three times the threshold. Such strong optical forcing leads to significant self-distortion of the density profile in the material wave serving as the optical grating. The method of multiple scales is used to find a uniform asymptotic expansion in the coupling. At the first perturbation level the resonant portion of the problem yields abridged equations for the incident and the scattered waves with frequencies ωL and ωS = ωL − Ω and for the grating and its harmonics with frequencies nΩ. The nonresonant portion of the first perturbation yields field components with the frequencies ωL + nΩ and ωS − nΩ for n = 1, 2, …. Numerical solutions of the truncated abridged system are found by a method of Chebychev collocation and indicate a reduction in the observed phonon lifetime and a broadening of the linewidth with increasing amplitude.
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