The current work addresses ultrasonic wave interaction within an orthotropic layer with two disk transducers in an acousto-ultrasonic mode. Earlier works have focused on studies of the influence of a rectangular transducer [1,2]. Acousto-ultrasonic techniques are useful in many cases where there is access to one side only. The different wave modes set-up in the layer are sensitive to many parameters such as source size, frequency, direction, etc. Computation of the wave structure within this layer of finite thickness is necessary to acquire quantitative information about material characterization and discontinuities. An attempt is made here to characterize the number and velocity of propagation modes with respect to direction and frequency. A special case of a composite is considered with particular values for azimuthal angle and frequency. Amplitude and velocity values for piston and parabolic source distributions have been calculated.