  In this paper, we give an exact analytical solution to the case of neutrinos
propagating through multiple non-adiabatic density profiles. The resulting
oscillation probability needs to be modelled in 4-dimensional parameter space
$\{n,L_0,d,\Delta L\}$, where $n$ is the number of iterations, $L_0$ is the
distance from source to first density shift, $d$ is the length of the material
slabs, while $\Delta L$ is the space between them. We show that a set of
resonance parameters can be found to obtain a complete flavor conversion of any
neutrino species. This can be done for both neutrinos and antineutrinos.
