The problem of scattering of a plane wave by two ideal strips lying in one plane is studied. The Wiener-Hopf functional equation is formulated and studied. The following results are obtained. 1) The embedding formula is derived. This formula enables to express the far-field diagram, depending on two variables (the angle of incidence and the angle of scattering) as the combination of 4 functions depending on one variable. 2) The ordinary differential equation with respect to the spectral

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... is derived for the components of the far-field diagram. 3) The evolution equation describing the dependence of the far-field diagram on the parameters of the problem (such as the coordinates of the edges of the scatterer) are derived. * y , where k * = k 0 cos ψ; ψ is the angle of incidence.