The exact solution of Takagi's equations for the dynamical X-ray diffraction in an elastically bent crystal

Abstract

Takagi's equations of the dynamical theory of X-ray diffraction in a crystal deformed in a special way are studied. It is shown that the Riemann function can be found in this special case analytically and may be expressed by the confluent hypergeometric function. From this solution the part corresponding to the undeformed crystal is separated. [Russian Text Ignored].