  Optical metasurfaces are perfect candidates for the phase and amplitude
modulation of light, featuring an excellent basis for holographic applications.
In this work, we present a dual amplitude holographic scheme based on the
photon sieve principle, which is then combined with a phase hologram by
utilizing the Pancharatnam-Berry phase. We demonstrate that two types of
apertures, rectangular and square shapes in a gold film filled with silicon
nanoantennas are sufficient to create two amplitude holograms at two different
wavelengths in the visible, multiplexed with an additional phase-only hologram.
The nanoantennas are tailored to adjust the spectral transmittance of the
apertures, enabling the wavelength sensitivity. The phase-only hologram is
implemented by utilizing the anisotropic rectangular structure. Interestingly,
such three holograms have quantitative mathematical correlations with each
other. Thus, the flexibility of polarization and wavelength channels can be
utilized with custom-tailored features to achieve such amplitude and phase
holography simultaneously without sacrificing any space-bandwidth product. The
present scheme has the potential to store different pieces of information which
can be displayed separately by switching the wavelength or the polarization
state of the reading light beam.
