  We propose a comprehensive field-based semianalytical method for designing
fabrication-ready multifunctional periodic metasurfaces (MSs). Harnessing
recent work on multielement metagratings based on capacitively-loaded strips,
we have extended our previous meta-atom design formulation to generate
realistic substrate-supported printed-circuit-board layouts for anomalous
refraction MSs. Subsequently, we apply a greedy algorithm for iteratively
optimizing individual scatterers across the entire macroperiod to achieve
multiple design goals for corresponding multiple incidence angles with a single
MS structure. As verified with commercial solvers, the proposed semianalytical
scheme, properly accounting for near-field coupling between the various
scatterers, can reliably produce highly efficient multifunctional MSs on
demand, without requiring time-consuming full-wave optimization.
