Geometric phase is frequently used in artificially designed
metasurfaces;
it is typically used only once in reported works, leading to conjugate
responses of two spins. Supercells containing multiple nanoantennas
can break this limitation by introducing more degrees of freedom to
generate new modulation capabilities. Here, we provide a method for
constructing supercells for geometric phases using triple rotations,
each of which achieves a specific modulation function. The physical
meaning of each rotation is revealed by stepwise superposition. Based
on this idea, spin-selective holography, nanoprinting, and their hybrid
displays are demonstrated. As a typical application, we have designed
a metalens that enables spin-selective transmission, allowing for
high-quality imaging with only one spin state, which can serve as
a plug-and-play chiral detection device. Finally, we analyzed how
the size of supercells and the phase distribution inside it can affect
the higher order diffraction, which may help in designing supercells
for different scenarios.
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