This paper develops several configurations of a rotary-to-linear magnetic gear that was previous introduced in reference [1]. Various configurations of magnet pole shapes and modulating pole pieces are analyzed to determine their effects on magnetic flux modulation within the air-gap. This study aims to evaluates and contrasts the performance of these configurations to provide further insights into its operation and a better starting point of the development of the proposed magnetic gear. Additionally, a three-dimensional finite element analysis (FEA) with iterative parameter sweeps is conducted to globally optimize the design by examining various radial dimensions to determine the optimal values. The findings illustrate a discernible trade-off between volumetric force density and force per kilogram of magnet material as constrained by the inner radius rotor magnet.