  High frequency limit for most of wave phenomena is known as quasiclassical
limit or ray optics limit. Propagation of waves in this limit is described in
terms of wave fronts and rays. Wave front is a surface of constant phase whose
points are moving along rays. As it appears, their motion can be described by
Hamilton equations being special case for Newton's equations. In simplest cases
(e. g. light propagation in isotropic non-homogeneous refracting media) the
dynamics of points preserves orthogonality of wave front and rays. This
property was generalized in the theory of dynamical systems admitting normal
shift of hypersurfaces. In present paper inverse problem is studied, i. e. the
problem of reconstructing wave equation corresponding wave front dynamics for
which is described by Newtonian dynamical system admitting normal shift of
hypersurfaces in Riemannian manifold.
