Total reflection of x rays is considered by expanding the Fresnel coefficient in the grazing angle of incidence, assumed to be much less than the critical angle. A study is made of resonatorlike mirror systems that are capable of changing the direction of the incoming wave by 2pgr; rad. The possibility of modulating the refractive indexn=1minus;dgr;minus;ibgr; and the influence of scattering losses are briefly discussed. A high number of successive reflections may lead to a nonzero limit exp(minus;pgr;sqrt;2thinsp;bgr;dgr;minus;3/2) for the relative intensity. It is usually more important to have a rsquo;rsquo;horizontalrsquo;rsquo; reflectivity curve than a high critical angle.
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