Propagation of partially coherent radiation using Wigner functions

Undulator radiation from synchrotron light sources must be transported down a beam line the source to sample. A partially coherent photon may represented in phase space using Wigner function, and its transport use some similar techniques that are familiar particle transport. We describe this process case is composed of linear focusing defocusing sections as well apertures. present compact representation map involving transformations convolutions. create $1\ensuremath{\mathbin:}1$ imaging system with single slit on image plane observe downstream it. propagate Gaussian undulator sample line, drawing parameters current future ultra low emittance sources. derive an analytic expression for including passage through aperture. benchmark function calculation against analytical workshop (SRW) code.