  We suggest a new family of unitary RSOS scattering models which is obtained
by placing the SO(N) critical models in "electric" or "magnetic" field. These
fields are associated with two operators from the space of the SO(N) RCFT
corresponding to the highest weight of the vector representation of SO(N). A
perturbation by the external fields destroys the Weyl group symmetry of an
original statistical model. We show that the resulting kinks scattering
theories can be viewed as affine imaginary Toda models for non-simply-laced and
twisted algebras taken at rational values (roots of unity) of $q$-parameter. We
construct the fundamental kink $S$-matrices for these models. At the levels
$k=1, 2, \infty$ our answers match the known results for the Sine-Gordon,
$Z_{2N}$ - parafermions and free fermions respectively. As a by-product in the
SO(4)-case we obtain an RSOS $S$-matrix describing an integrable coupling of
two minimal CFT.
