Sound due to an impulsive line source

This paper deals with the problem of diffraction due to an impulse line source by an absorbing half plane, satisfying Myers’ impedance condition (Myers, 1980 [13]) in the presence of a subsonic flow. The time dependence of the field requires a temporal Fourier transform in addition to the spatial Fourier transform. The spatial integral appearing in the solution for the diffracted field is solved asymptotically (Copson, 1967 [15]) in the far field approximation. Finally, a simple procedure is devised to calculate the inverse temporal Fourier transform.