Start to end simulations of transverse to longitudinal emittance exchange at the A0 photoinjector

Various schemes to exchange the transverse and longitudinal emittance have been proposed. [1][2] One scheme involves a deflecting mode RF cavity between two doglegs to exchange the horizontal and longitudinal emittances. This will produce a complete and uncoupled emittance exchange in the thin cavity limit using first order matrix optics. Various other effects, such as a finite length cavity, can leave the emittances coupled after the exchange and dilute the final emittances. Other effects such as space charge and synchrotron radiation can be investigated through simulations. A transverse to longitudinal exchange experiment using the double dogleg approach is underway at the A0 Photoinjector at Fermilab. In this paper we present start to end simulations of the experiment using various codes to account for space charge and Coherent Synchrotron Radiation effects. The results of these simulations are compared with analytical approximations and preliminary data. The effect on the exchange is also discussed