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Abstract
An approximate theory of scattering by nearly two-dimensional (2D) objects (plane wings, leg bones,...) is presented and implemented numerically in the case of perfectly conducting diffraction gratings slightly modulated in the direction of the grooves. Derived from the Waterman formalism, this theory leads to the solution of several problems of scattering by 2D objects, illuminated by a sum of plane waves. It is shown from numerical results that this theory is able to deal with nearly two-dimensional objects in condition where, as far as we know, the only numerical tools are based on rigorous theories of three-dimensional scattering problems.