Abstract-We have shown that the stationary waveguiding properties of TE guided waves in a slab optical waveguide with a nonlinear Kerr-like bounding medium can be described in a compact way by means of the usual normalized effective modal index (h) and a set of only four independent normalized parameters: the well-known normalized thickness ( V ) and asymmetry measure (a) of the waveguide, the generalized aspect ratio between film, and substrate refractive indexes and a new guided power measure. From an analysis starting on Buckingham's n-theorem, we have investigated the similarity rules existing between the above waveguiding structures. Allowed and forbidden regions in the {b, V , a}-space in order that a stationary guided solution exists, have been recognized and classified, with the marginal loci separating different regions being a function of only V and a . As a further application of the normalized parameters, we focus on the cutoff properties of the TEO guided wave. Both self-focusing and self-defocusing bounding media have been considered.