A combination of ray and Fourier methods is used to describe the linear internal wavefield generated by a horizontally moving, vertically oscillating, source in a stratified fluid. Ray theory is used to approximate the wavefield in a Fourier transform domain. The ray solutions are then superimposed by inverse Fourier transform to produce the spatial solution. This is a more practical approach than calculating the ray solution directly in the spatial domain, and it is general enough to treat background flows with depth dependent shear and stratification. The theory is compared with measurements of the internal wavefield generated in tank experiments by a towed sphere in a uniformly stratified background.
