Abstract :
A method of formulating the scattered acoustical field for certain types of hard bodies through the use of well-known exact solutions for the simple semi-infinite wedge and/or corner is presented. The method yields a representation of the total sound field for all frequencies and satisfying all boundary conditions. Relevant hard-wedge solutions for harmonic line sources and for plane waves are reviewed. Such solutions, which are rigorous, represent the total sound field as a superposition of directional line sources and sinks at the wedge vertex. A method of representing multiple scatter from combinations of wedges, allowing the explicit solution of the case of a truncated wedge, is introduced. This method uses the classic self-consistent algorithm for multiple scatter, together with a rigorous representation of vertex-diffracted fields
Keywords :
acoustic wave diffraction; acoustic wave scattering; boundary conditions; corner; directional line sources; exact solutions; hard truncated wedge; harmonic line sources; multiple scatter; plane waves; scattered acoustical field; self-consistent algorithm; semi-infinite wedge; sinks; strip; total sound field; vertex-diffracted fields; Acoustic diffraction; Acoustic scattering; Acoustic waves; Convolution; Frequency; History; Laplace equations; Shape; Strips;
