We propose and experimentally demonstrate a planar perfect relay lens using the modified Schwarz-Christoffel (SC) mapping. Based on the SC mapping, a Maxwell fisheye lens is conformally transformed into a slab exactly, realizing a perfect relay lens. Both geometrical optics and wave optics are utilized to verify the excellent imaging performance from surface to surface. The proposed relay lens is implemented using fractal metamaterials with the H-shaped particles and the experimental result shows good agreement to the numerical simulation. The proposed design has many potential applications, such as the night vision system, endoscopes, microscopes, and photocopiers.
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