“…In this paper, we present a rigorous analysis of nonlinear TE waves guided by a linear planar waveguide that has a buried secant hyperbolic profile in the film with Kerr-like nonlinearity in the cover medium. We chose the buried secant hyperbolic profile in the film because the wave equation for TE modes can be solved rigorously and the propagation characteristics of such profiles are very close to those of a buried Gaussian profile [7]. Moreover, as a special case, the buried secant hyperbolic profile can be reduced to the secant hyperbolic profile, of which the propagation characteristics are very close to that of Gaussian profile.…”