Application of Gaussian Schell-Model and Its Coherent Mode Decomposition on Hard X-Ray Synchrotron Radiation

We present two theoretical approaches to describe the propagation of the partially coherent hard x-ray beams. The radiation field is substituted for an equivalent Gaussian Schell-model (GSM) and its coherent mode decomposition (CMD). Both the two methods can effectively described the beam properties at any position in free space. But they all have merits and limitations. The simulation of GSM exactly describes the beam for all modes are included, but the amount of calculation of GSM is very great. While CMD is an easy to comprehend and more convenient approach but the simulated beam should be highly coherent for modes number can not be large. In previous simulation, modes with a contribution of less than 0.01 were neglected, but our simulation results demonstrate that the ratio 0.01 should goes down to 0.001, then CMD can exactly simulates the beam properties.