Analysis and modification of x-ray mutual coherence with perfect-crystal diffraction

摘要

X-ray diffraction by perfect crystal is discussed from the viewpoint of mutual coherence of an x-ray beam. From the time-dependent Takagi-Taupin equations that x-ray wavefields obey in crystal, the reflected wavefield is formulated as an integral transform of a general incident wavefield with temporal and spatial inhomogeneity, A reformulation of rocking-curve profile from the field solution of the time-dependent Takagi-Taupin equations allows experimental evaluation of the mutual coherence function of an x-ray beam. The rigorous relationship of the coherence functions before and after reflection clarifies how the coherence is transferred by a crystal.