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Summary form only given. Recently we have shown using solid hydrogen that stimulated Raman scattering (SRS) can evolve spontaneously from the weak-coupling regime to the strong-coupling regime in which parametric anti-Stokes generation occurs without the restriction of phase-matching. In the present work, we extend this strong-coupling SRS to a more general parametric Raman sideband generation. We show using solid hydrogen as a nonlinear medium that the adiabatically-prepared Raman-coherence can beat with broadband incoherent fluorescence light and efficiently replicate the incoherence nature to the Raman sideband.