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The problem of diffraction of a waveguide mode by a thin Neumann screen is considered. The incident mode is assumed to have frequency close to the cut-off. The problem is reduced to a propagation problem on a branched surface and then is considered in the parabolic approximation. Using the embedding formula approach, the reflection and transmission coefficients are expressed through the directivities...
A 2D problem of diffraction by a periodic diffraction grating composed of absorptive screens is studied. A period of the grating comprises two screens having different heights. The incident wave is assumed to have wavelength short comparatively to the period of the grating, and the incidence angle is assumed to be small. High diffraction orders are neglected, and the parabolic approximation is used...
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