  The propagation of hard X ray beam from partially coherent synchrotron source
is simulated by using the novel method based on the coherent mode decomposition
of Gaussian Schell model and wave front propagation. We investigate how the
coherency properties and intensity distributions of the beam are changed by
propagation through optical elements. Here, we simulate and analyze the
propagation of the partially coherent radiation transmitted through an ideal
slit. We present the first simulations for focusing partially coherent
synchrotron hard X ray beams using this novel method. And when compared with
the traditional method which assumes the source is a totally coherent point
source or completely incoherent, this method is proved to be more reasonable
and can also demonstrate the coherence properties of the focusing beam. We also
simulate the double slit experiment and the simulated results validate the
academic analysis.
