Susceptibility synthesis of arbitrary shaped metasurfaces

Visual perception relies on light scattering at the object's surface in the direction of observation. By engineering the surface scattering properties, it is possible to realize arbitrary visual percepts. Here, we address theoretically this problem of electromagnetic field transition conditions at conformal interfaces to achieve surface-topography-dependent transmitted and reflected fields. Our analysis, supported by two- and three-dimensional finite-element simulations, provides a solid theoretical framework to design metasurfaces for cloaking, wearable optics, and next-generation freeform imaging systems.