Present Doppler-spreading models for short internal waves in the atmos
phere and the ocean either neglect the time dependence of the backgrou
nd long-wave shear entirely, or ignore time-dependent effects in their
parameterization of dissipation. We use ray and numerical simulations
to examine the Doppler spreading of a short internal-wave packet by a
n inertia-wave packet. The results are enough to show that time depend
ence in the long-wave shear can make a significant difference to short
-wave behavior, and will need to be taken into account in future model
ling efforts.