The use of air-coupled or submerged transducers for the ultrasonic inspection of composite plates involves the development of adequate mathematical and computer models for simulating the occurring wave processes. In achieving this goal, an analytically based computer model has been developed. On this base, the directivity of the source-generated wave fields caused by the anisotropy of an immersed composite plate as well as the influence of fluid loading is investigated. A series of numerical examples illustrating angular dependence and independence of the wavenumbers, attenuations and amplitude factors of the waves of different kinds excited in the coupled source-fluid-plate structures are presented and discussed. Keywords: