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Current-Based Automated Design of Realizable Metasurface Antennas with Arbitrary Pattern Constraints
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  • Marcello Zucchi ,
  • Francesco Vernì ,
  • Marco Righero ,
  • Giuseppe Vecchi
Marcello Zucchi
Politecnico di Torino, Politecnico di Torino

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Francesco Vernì
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Marco Righero
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Giuseppe Vecchi
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Abstract

We present a 3D method to numerically design a realizable metasurface, which transforms a given incident field into a radiated field that satisfies mask-type (inequality) constraints. The method is based on an integral equation formulation, and the local impedance boundary condition (IBC) approximation. The procedure yields the spatial distribution of the surface impedance, yet the process involves the synthesis of the equivalent current only. This current is constrained to correspond to a realizable surface impedance, i.e., passive, lossless, and with reactance values bounded by practical realizability limits. The current-based design avoids the solution of the forward problem at each step, and the impedance is obtained from the synthesized current only at the end of the process. This allows handling large metasurfaces, with full spatial variability of the impedance in two dimensions. The method requires no a priori information or heuristic, and is formulated so that all relevant operations in the iterative process can be evaluated with O(N logN) complexity. Application examples concentrate on the case of on-surface excitation and far-field pattern specifications; they show designs of circular metasurface antennas of 10 wavelengths in diameter, with pencil- and shaped-beam patterns, and for both circular and linear polarization.
Jun 2023Published in IEEE Transactions on Antennas and Propagation volume 71 issue 6 on pages 4888-4902. 10.1109/TAP.2023.3270715