Acoustic diffraction by a fluid-loaded membrane corner

The complete solution is derived for an acoustic plane wave incident on a membrane which is stretched over a line constraint, forming a wedge shaped fluid region of interior angle 2$. The exact two-dimensional solution is developed using Malyuzhinets functions and integral transforms. Explicit formulae are presented for the acoustic and structural diffraction coefficients for $ > ?r/2 and numerical results are given for the frequency and angular dependence of the membrane wave excitation coefficients for identical membranes on either side of the vertex.