摘要： As an excellent holographic information carrier, metasurface holograms possess the advantages of subwavelength footprint, leading to large field of view and high resolution. Meanwhile, intelligent algorithms should be developed to fully exploit the flexible modulation properties provided by metasurfaces. Here, two amplitude holograms with quantitatively correlation are realized using the photon sieve as the amplitude modulation device. A new iterative algorithm is developed to obtain the amplitude profiles of the two holograms with correlation, which can make the two profiles mutually connect by simply adding/erasing dynamic pixels. Two photon sieves composed of nanoholes arrays are fabricated to demonstrate the feasibility of the scheme. This amplitude holography method can operate throughout the entire visible and near-infrared wavelength regions with polarization independence, and it is expected to achieve switchable metasurface holography with the development of materials science. Such scheme promises to be applied in compact data storage, dual pattern recognition, optical encryption, and so on.