Diffraction from the juncture of pressure release and locally reacting half?planes Academic Article uri icon


  • Solutions to two coupled half-plane problems are derived. In the first, an exact solution to the canonical problem of acoustic plane-wave diffraction from a pressure release (zero impedance) surface coupled to a perfectly rigid (infinite impedance) surface is given using the Wiener-Hopf method. The solution is expressed in terms of an angular spectrum of plane waves. In the second, the rigid surface is replaced by one characterized by a locally reacting finite impedance. Here, an approximate kernel to the Wiener-Hopf functional equation is used which leads to a complete and readily interpretable solution. This solution is expressed in terms of the canonical angular spectrum for the first problem multiplied by a function that depends on material parameters of the locally reacting surface. Polar plots of the far-field amplitude level for the diffracted field are presented.

publication date

  • August 1991