We introduce conformal grayscale metamaterials as a new class of volumetric electromagnetic media capable of supporting highly multiplexed responses and arbitrary, curvilinear form factors. The grayscale dielectric landscape is advantageous because it offers an expanded design space that supports many exceptionally high performing device designs, many which are accessible using adjoint variables optimization. We experimentally fabricate microwave metamaterials using additive manufacturing and demonstrate structures with extreme dispersion profiles, an airfoil-shaped beam steering device, and a conformal carpet cloak. We anticipate that conformal volumetric metasurfaces will lead to new classes of compact and multi-functional imaging, sensing, and communications systems.
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