To reconstruct three-dimensional (3D) information perfectly, phase and amplitude of incident waves must be controlled simultaneously. However, since the conventional spatial light modulation techniques could control only one component of phase or amplitude, it has very low quality of reconstructed image of its noise. So, the bulky optical filter system is required. We propose novel pixel design for a complex light modulation that can overcome these limitations. This design is based on the principle of the complex value of each pixel by dividing it into three fixed phases and controllable amplitudes. It is implemented to combination of rotated rods and is modulated to a cross polarized component for an incident wave. It has a concept that each amplitude can be controlled by width or length of each rod. In this research, we present the characteristics of the complex spatial light modulation for the proposed metasurface structure by Fourier modal method (FMM) simulation based on the rigorous coupled wave analysis (RCWA) and verify that the proposed design can control the complex light modulation on the higher-order diffraction component. Also, noise-free hologram is verified by the results of reconstructed diffraction patterns using wave optical based simulations to analyze the distribution of complex modulated waves in free space.
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