A reflaxicon system comprising two or more reflaxicons, either, neither, or both of which can be formed of solid light transmitting material, is provided and described for use and implementation as objectives, relays, and beam expanders. Each reflaxicon features a central substantially cone shaped surface and a distal surface shaped like a truncated cone with both of said surfaces aligned with and symmetrically arranged around a central axis. In the system provided said central axes are aligned and form the optical axis of the system and further curvatures can be provided to any of said surfaces as well as to incident and exiting system surfaces to provide additional optical effects as required for different applications. Further, the conical surfaces forming the central reflectors can each or both be convex or concave, with ease of construction mitigating in favor of dual concave central reflectors as the preferred embodiment.