Theory of transducer radiation in traversely isotropic media introducing the generalized Rayleigh function

In this study, the fundamental mathematical formulation of Huygens'principle is employed to derive an integral representation for transducer-generated wavefields. Use is made of the dyadic and triadic Green's functions, which have been derived recently in form of their 2d-space-time spectral representations for the case of transversely isotropic symmetry, which is characteristic for unidirectional fiber composites and extruded MMCs, but also for ideally fiber-textrued columnar-grained steels. A particularly interesting outcome of this analysis is the generalized formulation of the transversely isotropic Rayleigh-function describing the Rayleigh-wavefronts propagating at the free surface. Since the material's spatial orientation is included as an additional parameter, a coordinate-free approach is used to reduce the inherent complexity of this analysis as far as possible