Plane wave diffraction by two oppositely placed, parallel two-part planes

Abstract

The problem of plane wave diffraction by two oppositely placed, parallel two-part planes, consisting of the junction of perfectly conducing and resistive half-planes, is solved with the Fourier transform technique. The problem is formulated as two simultaneous Wiener–Hopf equations that are uncoupled by the analytical properties of the functions that occur. The solution involves an infinite number of expansion coefficients satisfying an infinite system of linear algebraic equations. The expansion coefficients are determined numerically, and some graphical results showing the influence of the surface resistivity and the distances between the two-part planes on the diffracted and transmitted waves are presented.