Te. Gureyev et Sw. Wilkins, REGIMES OF X-RAY PHASE-CONTRAST IMAGING WITH PERFECT CRYSTALS, Nuovo cimento della Societa italiana di fisica. D, Condensed matter,atomic, molecular and chemical physics, biophysics, 19(2-4), 1997, pp. 545-552
Perfect crystals have recently been used as X-ray wavefront analysers
to help produce phase-contrast images of non-periodic objects. Such im
ages are essentially the maps of the phase gradients introduced in a p
lane X-ray wave upon passage through a weakly absorbing object. We sho
w that the nature of the contrast in the images is determined by the P
atio between the local wavefront curvature and the width of the crysta
l rocking curve. Depending on this ratio being small or large, two qui
te distinct regimes for image formation can be identified, namely the
differential phase-contrast mode and the refractometric mode. We deriv
e simple analytical formulae which can be used for the analysis of X-r
ay images of phase objects obtained in these two regimes.