On the principle of X-ray interferometry

Abstract

The scattering amplitude of an X-ray interferometer is calculated using a general theory of X-ray diffraction. Analytic expressions are given for the intensities of diffracted beams in interferometry; these expressions include the effect of the positions of each crystal lattice in addition to ordinary dynamical effects. It is concluded that the fringes observed in X-ray interferometry of a lattice spacing are accounted for by an optical (Moir6) effect rather than by dynamical effects of X-ray diffraction.

The dynamical scattering amplitude of an imperfect crystal. II. A relation between Takagi's dynamical equation and a more exact dynamical equation

“…Unfortunately this approximation is not of much help in simplifying equation (3-7). As demonstrated in a problem of X-ray interferometry (Kuriyama, 1971), the matrix S contains the exact phase relations between component waves. These exact relations are still retained in the approximate scattering amplitude (4-5) in spite of the gross approximation for momentum resolution.…”