In recent years, metasurfaces that enable the flexible wavefront modulation at sub-wavelength scale have been widely used into holographic display, due to its prominent advantages in polarization degrees of freedom, viewing angle, and achromaticity in comparison with traditional holographic devices. In holography, the computational complexity of hologram, imaging sharpness, energy utilization, reproduction rate, and system indirection are all determined by the encoding method. Here, we propose a visible frequency broadband dielectric metahologram based on the random Fourier phase-only encoding method. Using this simple and convenient method, we design and fabricate a transmission-type geometric phase all-dielectric metahologram, which can realize holographic display with high quality in the visible frequency range. This method encodes the amplitude information into the phase function only once, eliminating the cumbersome iterations, which greatly simplifies the calculation process, and may facilitate the preparation of large area nanoprint-holograms.

中文翻译：

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可见光宽带介电全息图，仅通过随机傅里叶相位编码

近年来，由于与传统全息设备相比在偏振自由度，视角和消色差方面的显着优势，使得能够在亚波长尺度上进行灵活的波前调制的超颖表面已被广泛用于全息显示。在全息术中，全息图的计算复杂度，成像清晰度，能量利用率，再现率和系统间接性均由编码方法确定。在这里，我们提出了一种基于随机仅傅里叶相位编码方法的可见频宽带介电全息图。使用这种简单方便的方法，我们设计并制作了一种透射型几何相位全介电全息图，可以在可见频率范围内实现高质量的全息显示。