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In the effort to optimize brightness in synchrotron radiation sources, questions arise as to the most desirable electron beam parameters given a particular insertion device. With a detailed understanding of the distribution of emitted photons, the electron beam profile can be effectively matched. We have developed tools which, by way of the Wigner distribution, compute the phase space of photons radiated by an electron bunch. An explanation is provided of the workings of the code itself with mention of important algorithms that have been implemented. We demonstrate via numerical examples the Wigner distributions of the undulator radiation. In particular, it is shown that the phase space of light differs appreciably from the Gaussian distribution assumed in many analytical expressions and, therefore, the more thorough approaches should be used for computation of related quantities.
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