The diffraction of plane waves by a pair of parallel, overlapped half-
planes characterized by Dirichlet and Neumann boundary conditions, res
pectively, is investigated. The corresponding boundary value problem i
s formulated as a matrix Wiener-Hopf equation whose solution is obtain
ed through the ''weak factorization'' method. This method reduces the
problem to an infinite system of linear algebraic equations which are
solved numerically. An analysis of the scattered field, which depends
on the solution obtained numerically, is also performed in some detail
.