Launching of the fast wave in the lower hybrid frequency range is described. This wave is excited at the plasma edge by RF electric fields perpendicular to those required for the lower hybrid wave. In high-temperature plasmas, where the lower hybrid wave may not penetrate because of Landau damping or other effects near the edge, the fast wave might provide an alternative for heating and/or current generation in the central portion of the plasma. In addition, for high-density plasmas, this has the advantage that lower frequencies than those required for the lower hybrid excitation can be used. Thus waveguides of convenient dimensions for maximum power transmission and ease of fabrication can be employed. Coupling from a waveguide array into an inhomogeneous plasma is analysed. The model is infinite in y, the direction perpendicular to magnetic field and density gradient. Power reflection in the waveguides is found as a function of array design and density gradient at the edge. This reflection is fairly large (> 20%). Propagation into the plasma is then considered, and the field structure and dispersion of the fast waves are found as functions of the distance of penetration. Unlike the lower hybrid waves, fast waves do not form resonance cones and energy is dispersed over a large volume.