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We present an asymptotic approach for the systematic investigation of theeffect of gravity waves (GW) on ice clouds formed through homogeneousnucleation. In particular, we consider high- and mid-frequency GW in thetropopause region driving the formation of ice clouds, modeled with adouble-moment bulk ice microphysics scheme. The asymptotic approach allows foridentifying reduced equations for self-consistent description of the icedynamics forced by GW including the effects of diffusional growth andnucleation of ice crystals. Further, corresponding analytical solutions for amonochromatic GW are derived under a single-parcel approximation. It isdemonstrated that the asymptotic solutions capture the dynamics of the full icemodel and provide a simple expression for the nucleated number of ice crystals.The present approach is extended to allow for superposition of GW, as well as,for variable mean mass in the ice crystal distribution. Implications of theresults for an improved representation of GW variability in cirrusparameterizations are discussed.

Interactions between gravity waves and cirrus clouds: asymptotic modeling of wave induced ice nucleation