The Spallation Neutron Source (SNS), being built at the Oak Ridge National Laboratory, utilizes a high intensity particle accelerator for neutron production. One of the challenges in SNS, as with all high intensity accelerators, is to minimize the amount of beam lost. High beam losses can cause costly damage and lead to residual activation of accelerator components, which complicates routine maintenance. One of the key components in beam loss at SNS is the development and propagation of beam halo. Halo particles are those driven to large amplitudes by space charge forces between the beam particles or by mismatch between the beam and the accelerator optics. The research presented seeks to develop computational tools to quantify the halo in a...