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Phase-pulling effects in transient stimulated Raman scattering of forward-propagating plane-wave fields are examined both analytically and numerically. The Stokes temporal phase profile is found to lock very quickly to a final (output) temporal phase profile, once the Stokes-field intensity has grown to roughly 1 order of magnitude greater than the initial Stokes seed intensity. The final temporal phase profile of the output Stokes field is pulled to the phase of the input pump (Stokes) field when the medium relaxation time is large (small) relative to the time scale of the input phase variations. For intermediate relaxation times, the output Stokes temporal profile also locks quickly but to a profile that is that of neither the input pump nor the input Stokes. The output Stokes phase is found to be relatively insensitive to pump transverse intensity variations.
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Ackerhalt et al. (1986) studied this question.
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