The radiation of an arbitrary source in a stratified system including anisotropic slabs is considered. Starting from an abstract-operator formulation given by Bresler and Marcuvitz [1956, 1957], the transverse field is evaluated by using a Fourier-integral representation. The Green's function is expressed through the evaluation of the source-free solutions. The scattered field and the plane-wave response are examined. An example is given concerning the field radiated in the presence of an anisotropic ferrite slab. The far field is evaluated through a saddle-point integration.