Passive metasurfaces can scatter at most about one quarter of the forward-scattered power into anomalous directions for thin-sheet and ground-plane configurations, with an explicit non-local matching network realizing the bound.
Generalized deterministic automated design of metasurface antennas with 3D feeding structures,
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Physical Limits and Optimal Synthesis of Beyond Diagonal Anomalous Scatterers
Passive metasurfaces can scatter at most about one quarter of the forward-scattered power into anomalous directions for thin-sheet and ground-plane configurations, with an explicit non-local matching network realizing the bound.