A low power, Hall-effect type plasma thruster known as the MIT-Cylindrical Cusped- Field Thruster (MIT-CCFT) has been developed and simulated using a fully-kinetic plasma model, the Plasma Thruster particle-in-cell (PTpic) model. Similar to the Diverging Cusped-Field Thruster (DCFT) previously developed in the Massachusetts Institute of Technology Space Propulsion Laboratory, this thruster uses cusped magnetic fields aligned in alternating polarity in order to confine electrons, thus slowing their flow to the anode and readily ionizing neutral gas, which is then electrostatically accelerated by the anode. The design methodology for the CCFT will be discussed, with significant emphasis on the effects of magnetic topology on thruster performance. In particular, while the topology is similar to that of the DCFT in that it also confines the discharge plasma away from the channel walls to limit wall erosion, the CCFT was also designed to minimize plume divergence. To predict the CCFTs performance and plasma dynamics, the design has been modeled and simulated with PTpic. From multiple simulations of the CCFT under different operating conditions, the thruster performance and plume characteristics were found and compared to past simulations of the DCFT. Specifically, the predicted nominal total efficiency ranged from 25 to 35 percent, providing 4-9 mN of thrust at a fixed xenon mass flow rate of 4.0 sccm, whilst consuming 90-400 W of power and with a corresponding nominal specific impulse of 1050 to 1800 s. Preliminary observations of the particle moments suggest that the magnetic confinement of the plasma isolates erosion of the channel walls of the discharge chamber to the ring cusps locations. In addition, in contrast to the DCFT, the CCFT does not have a hollow conic plume; instead, its beam profile is similar to that of traditional Hall-effect thrusters. To supplement the efforts for optimizing longevity of the cusped-field thruster, a new diagnostic tool for erosion studies, novel to the electric propulsion community, has been implemented and has undergone preliminary validation. Ion beam analysis (IBA) allows for in-situ measurements of both composition and profile of the surfaces of the discharge region of a plasma thruster during operation. The technique has been independently tested on individual coupons with the use of the Cambridge Laboratory for Accelerator Study of Surfaces (CLASS) tandem ion accelerator. The coupons, which are composed of materials with known sputtering rates and/or are commonly used as insulator material, are exposed to helicon-generated plasma to simulate the sputtering/re-deposition found in thruster discharge region. Through comparison of ion beam analysis traces taken before and after plasma exposure, the effective erosion rates were found and validated against simulated results.