An approximate solution of Green's tensor to homogeneous and transversely isotropic media

Fourier transform method is used to obtain an approximate solution of Green's tensor to ho-mogeneous and transversely isotropic media like unidirectional fiber re-inforced composites and austenitic stainless steel materials in order to provide the theoretical basis for the scattering problems.A comparison to homogeneously isotropic media is presented and a brief discussion of the main features of the solution is given.