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Abstract

For an infinite plane grating formed by strips and gaps of equal width, a Dirichlet boundary value problem for the Helmholtz equation is solved rigorously by function-theoretic techniques. Plane wave excitation with an arbitrary angle of incidence is considered. The high frequency asymptotics of the solution is completely evaluated and compared with Kirchhoff's diffraction theory as well as with the asymptotics for a single strip. Extensive numerical data are laid down graphically.