Analysis of the mutual coherence function of X-rays using dynamical diffraction

X-ray rocking-curve profiles for a perfect crystal are calculated using the mutual coherence function of the incident wave. The derived result is that the rocking curve to be measured should be a convolution of the intrinsic profile of the crystal reflection with the Fourier transform of the complex degree of coherence of the incident wave. This allows experimental evaluation of the complex degree of coherence from measured rocking-curve profiles with the help of the calculated intrinsic profile. The mutual coherence function of synchrotron X-rays prepared with a conventional Si double-crystal monochromator was mapped as a function of both spatial separation and time delay.