This invention provides achromatic compound retarders, achromatic polarization switches, and achromatic shutters using the liquid crystal compound retarders. It further provides achromatic variable retardance smectic liquid crystal retarders. The achromatic compound retarder of this invention comprises a central liquid crystal retarder unit and two outer retarders positioned in series with and on either side of the liquid crystal retarder unit. The liquid crystal retarder unit comprises either (1) a rotatable smectic liquid crystal half-wave retarder or (2) first and second liquid crystal variable retarders having retardance switchable between zero and half-wave. The outer retarders have substantially the same retardance and orientation. Design equations determine the retardance of the outer retarders and their orientation relative to the central retarder to obtain a particular achromatic retardance for the compound structure.