In this paper the H‐integral equation is investigated for the problem of plane‐wave diffraction by a thin plate. It is found that the limiting form of the H‐equation by itself is not complete unless the condition
is simultaneously enforced. By suitably combining the above‐mentioned equations, a new set of equations is derived for the two components of the surface current distribution on the plate. Several advantageous features of the new equations are pointed out, and numerical results based upon the use of these equations are presented for the thin‐strip and the square‐plate problems.
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