On-Chip Spatial Hilbert Transformer Based on Fourier Optics and Metasurface

Hilbert transform is an important mathematical operation method used in signal processing, data analysis and feature extraction of images. Here we propose an in-plane meta device for implementing the spatial Hilbert transform (HT) based on silicon photonic platform with a footprint of 15 μm × 45 μm, The correlation coefficient (CC) of 98.9% and root mean square error (RMSE) of 0.05 are achieved between the numerical simulation and the theoretical calculation.