Multiple diffraction of a line source field by a three-part resistive plane

The investigation of multiple diffraction between the interacting edges of planar structures is an important phenomenon in diffraction theory and relevant for many engineering applications. In this paper, a uniform asymptotic high-frequency solution is developed for the diffraction of a line source field by a three-part resistive plane. The related boundary-value problem is formulated into a modified scalar Wiener-Hopf equation (MSWHE). By performing the factorization of the kernel functions through the Maliuzhinets function, MSWHE is reduced to a pair of coupled Fredholm integral equations of the second kind and then solved approximately by iterations.