Pupil Replication is a technique which could be added to many existing high contrast imaging systems to improve the inner working angle or the contrast when using Pupil Replication. The output pupil of the telescope is replicated and mapped onto the input pupil of the high contrast imaging system. This decreases the size of the image of the star on axis and thereby increases the performance of the high contrast imaging system. In this paper the viability of such a system is assessed through mathematical analysis and simulations.