Diffraction of a plane wave by a soft–hard strip

In this paper we have studied the problem of diffraction of a plane wave by a finite soft–hard strip. By using the Fourier transform the boundary value problem is reduced to a matrix Wiener–Hopf equation. Using the matrix factorization of the kernel matrix, the problem is solved for two coupled equations using the Wiener–Hopf technique and the method of steepest descent. It is observed that the diffracted field is the sum of the fields produced by the two edges of the strip and an interaction field. Some graphs showing the effects of various parameters on the field produced by two edges of the strip are also plotted.