Applied Optics 23 (11) 1794-1801 Metallic multilayers for x rays using classical thin-film theory B. Vidal and P. Vincent Successive evaporation of two correctly chosen elements now make possible highly efficient X-UV mirrors.However good results depend on two points: First we must know the manufacturing tolerances; these depends strongly on the spectral range and the refractive index of materials used for coating. The other important parameter is the rougness of each interface, which can result in significant losses in the reflectivity of the mirrors. This paper examines both points. Specular reflectance measurements at 0.159 nm are very sensitive to the roughness of each layer. To demonstrate the sensitivity we develop a method calculation of this reflectance taking into account the roughness of each interface of the multilayer.