Abstract
Non-Hermitian metasurface-based holography relies on the unique feature of the exceptional points (EPs), around which, in a parameter space, the 2
π
-phase accumulation is robustly maintained. However, such phase associated with EPs primarily manifests in circular-polarization channels due to the simultaneous eigenvalue and eigenstate coalescence of EPs, limiting its applicability for multi-polarization holographic multiplexing. Here, we reported that in an elaborately designed Ag metasurface, not only the RCP- and LCP-related EPs but also the reflection zeros induced by the linearly polarized light exist simultaneously. A 2
π
phase variation occurs when a closed path in the parameter space encloses a single simple zero, which originates from the complex-function properties of the reflection matrix. Subsequently, by combining gradient phase designing with the polarization-related singularities, multiplexing holography with polarization-specified orientation was realized; that is, distinct holographic images were projected at different reflection directions and angles under linearly and circularly polarized incidence, respectively. Our work provides a general strategy for multi-polarization phase engineering in non-Hermitian metasurfaces, opening new opportunities for compact multifunctional photonic devices.