A method of generating a layout for optimizing the use of semiconducting material wafer for a die component of an ophthalmic lens is described. The method comprising: dividing intact ring designs of die components into two or more arc segments, wherein at least a portion of each arc segment comprises an internal arcuate edge and an external arcuate edge; generating the layout for the semiconducting material wafer by arranging the arc segments proximate to each other, and providing a dicing street width between the arc segments. Various designs are described for ring segments that make up the functionalized layers in a functional layer insert, for incorporation into an ophthalmic lens. The arrangement of ring segments on a wafer to optimize wafer utilization is also described.