Convergence study of phased geometrical acoustics using a low frequency reflection coefficient

This work investigates phased geometrical acoustics using a low frequency reflection coefficient. This reflection coefficient, which is derived from an exact solution to a half-space problem, consists of an integral of image sources located at complex coordinates and is valid for any position of the source and receiver above the reflecting plane and for an arbitrary surface impedance. The method is demonstrated by calculating the sound pressure level in a rectangular room using the image source and beam tracing methods. The improvement over using the plane wave reflection coefficient is highlighted, using the finite element method as a reference.status: publishe