Coherence filtering of x-ray waveguides: analytical and numerical approach

We model and describe the spatial coherence and mutual intensity of focused synchrotron radiation x-ray beams, based on ensemble averages of stochastic superpositions. Within this framework, we present numerical calculations for typical synchrotron sources with focusing mirrors, and simulate the evolution of coherence inside x-ray waveguides used for filtering by analytical and numerical methods. Simulated focus fields are compared with an experimental setup, including figure errors and vibrations.