Combinations of generalized lenses that satisfy the edge-imaging condition of transformation optics

We recently introduced the edge-imaging condition, a necessary condition for all generalized lenses (glenses) [J. Opt. Soc. Am. A 33, 962 (2016) [CrossRef] ] in a ray-optical transformation-optics (RTO) device that share a common edge [Opt. Express 26, 17872 (2018) [CrossRef] ]. The edge-imaging condition states that, in combination, such glenses must image every point to itself. Here we begin the process of building up a library of combinations of glenses that satisfy the edge-imaging condition, starting with all relevant combinations of up to three glenses. As it grows, this library should become increasingly useful when constructing lens-based RTO devices