We consider the homogenization of the wave equation with high
frequency initial conditions propagating in a medium with highly
oscillatory random coefficients. By appropriate mixing assumptions
on the random medium, we obtain an error estimate between the exact
wave solution and the homogenized wave solution in the energy norm.
This allows us to consider the limiting behavior of the energy
density of high frequency waves propagating in highly heterogeneous
media when the wavelength is much larger than the correlation length
in the medium.