  The neutrinos emitted from the proto-neutron star created in a core-collapse
supernova must run through a significant amount of turbulence before exiting
the star. Turbulence can modify the flavor evolution of the neutrinos
imprinting itself upon the signal detected here at Earth. The turbulence effect
upon individual neutrinos, and the correlation between pairs of neutrinos,
might exhibit sensitivity to the power spectrum of the turbulence and recent
analysis of the turbulence in a two-dimensional hydrodynamical simulation of a
core-collapse supernova indicates the power spectrum may not be the Kolmogorov
5/3 inverse power law as has been previously assumed. In this paper we study
the effect of non-Kolmogorov turbulence power spectra upon neutrinos from a
point source as a function of neutrino energy and turbulence amplitude at a
fixed post-bounce epoch. We find the two effects of turbulence upon the
neutrinos - the distorted phase effect and the stimulated transitions - both
possess strong and weak limits in which dependence upon the power spectrum is
absent or evident respectively. Since neutrinos of a given energy will exhibit
these two effects at different epochs of the supernova each with evolving
strength, we find there is sensitivity to the power spectrum present in the
neutrino burst signal from a Galactic supernova.
