The compact size and speed come with a trade-off: a computationally intensive optical inverse problem has to be solved, which has so far prohibited these antennas from enjoying widespread use. In this paper, Pulido-Mancera et al. tackle this challenge by reformulating the problem to make it similar to a related, solved inverse problem. They show that by defining a mathematical operator that transforms the field at the metasurface to a field at another particular surface in free space and then piggy-backing on the solved problem, they can cut down on real-time computation significantly. They perform computer simulations that demonstrate that diffraction-limited images can be acquired using this method, which is promising for the field of microwave imaging.
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