An analytical solution is given to predict the propagation of noise from a point source to a point receiver over an infinite plane consisting of two half‐planes, each covered by a different impedance. The solution is found by the use of function theoretic methods, and is evaluated asymptotically by the method of pole subtraction. It includes a reflected wave, three diffracted (ground) waves, and a surface wave due to each impedance in addition to a direct wave. The reflection coefficient form is different than the plane wave reflection developed for a point source over an infinite impedance covered plane given in the literature. However, it reduces to the plane wave reflection coefficient once the point source position approaches infinity representing an incoming plane wave. Out of the two reflecting waves only one contributes depending on the position of the receiver. The two surface waves correspond to the two impedance half‐planes, but only one contributes depending on the location of the receiver. If the receiver is close to an impedance plane it picks up the surface wave emitting from that part of the plane, but it disappears as the receiver moves away from that surface. The diffracted (ground) waves depend on the difference of the impedances of the half‐planes. [Work supported by NCHRP.]