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Suppose that a plane wave is incident onto an impenetrable grating profile ofDirichlet or Impedance type or a penetrable grating. The grating interface isassumed to be given by a Lipschitz function in two dimensions. We derivestability estimate of the grating diffraction problem via variational methodwith an explicit dependence of solutions on the incident wavenumber andincident angle.

Well-posedness of grating diffraction problems for plane wave incidence: explicit dependence on wavenumbers and incident angles