An analytic theory of X-ray (E∼0.04-4 keV) diffraction from wideband multilayer coated gratings is developed. It is found that the wideband blazed gratings can operate in the single-order regime when only one diffraction wave is effectively excited. The diffraction efficiency achieves the reflectivity of conventional depth-graded multilayer mirrors in a wide spectral range. The physical reasons and the conditions of the single-order regime of wideband multilayer grating operation are discussed. A simple and clear design procedure is developed to suppress undesirable diffraction orders. The way to achieve a high diffraction efficiency plateau of 25% throughout the E = 2-3 keV interval is demonstrated.
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