The two-dimensional problem of the plane wave scattering by a periodic grating, an echelette with a right angle, is considered in the case of high-frequency approximation (the wavelength is assumed to be small compared with the period of grating) and where only one face of a wedge is illuminated. The ray optical solution to the problem (short-wave asymptotic result) derived on the basis of the method of summation of multiple diffracted fields, which is well-known in the geometric theory of diffraction, is described. Numerical results are presented and compared with calculations based on an integral equation approach.
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