Diffraction of plane waves by an acoustically penetrable strip located between two soft/hard half-planes

Uniform asymptotic high-frequency solution is developed for the diffraction of plane waves by an acoustically transmissive strip located between two half-planes which are soft at the top and hard at the bottom. After simulating the partially transmissive strip by "resistive type" boundary conditions, the three-part boundary value problem is formulated as a "Modified Matrix Wiener-Hopf" equation. By performing the Wiener-Hopf factorization of the kernel matrix through the Daniele-Khrapkov method, the modified matrix Wiener-Hopf equation is first reduced to a pair of coupled Fredholm integral equations of the second kind and then solved by iterations. Diffracted field expressions are derived up to the third order terms which include the surface wave field effects in a uniform manner.