A methodology to synthesize metasurface holograms to produce desired electromagnetic illusions is presented and demonstrated using a numerical example. The metasurface is described in terms of surface susceptibilities, which are synthesized using Generalized Sheet Transition Conditions (GSTCs), and the scattered-field computation using Boundary Element Method (BEM). The impact of spatial phase discretization on the reconstruction of the fields is further shown using a numerical example of plane-wave scattering from a PEC rectangular object.
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