This thesis details the optical development of an ion/electron accelerating facility at Southwest Research Institute which is currently being used to calibrate the Plasma Spectrometer for the Cassini Mission to Saturn. The optical development involves particle (ion) ray tracing of each element in the facility in order to computationally determine the focusing and mass separating parameters of each of the elements. This computational data is then compared with the actual output beam from the accelerating facility. The behavior of each of the elements is determined and its affect on the output beam is established. Changes to the design of the facility can then be made based upon this information.