Polarization-multiplexed optical differentiation using topological metasurfaces

Feng Rui; Tian Yaokai; Liu Yalong; Sun Fangkui; Cao Yongyin; Ding Weiqiang

doi:10.12086/oee.2023.230172

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Feng R, Tian Y K, Liu Y L, et al. Polarization-multiplexed optical differentiation using topological metasurfaces[J]. Opto-Electron Eng, 2023, 50(9): 230172. doi: 10.12086/oee.2023.230172

Citation:

Feng R, Tian Y K, Liu Y L, et al. Polarization-multiplexed optical differentiation using topological metasurfaces[J]. Opto-Electron Eng, 2023, 50(9): 230172. doi: 10.12086/oee.2023.230172

Polarization-multiplexed optical differentiation using topological metasurfaces

1.
Institute of Advanced Photonics, School of Physics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, China
2.
Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, Shanxi 030006, China

Fund Project: Project supported by National Natural Science Foundation of China (12274105), Heilongjiang Natural Science Funds for Distinguished Young Scholar (JQ2022A001), Fundamental Research Funds for the Central Universities (HIT.OCEF.2021020, 2023FRFK06007), and the Joint Guiding Project of Natural Science Foundation of Heilongjiang Province (LH2023A006). The authors thank the HPC Studio at Physics School of Harbin Institute of Technology for access to computing resources through INSPUR-HPC@PHY.HIT.

More Information

^*Corresponding author: wqding@hit.edu.cn

Received Date 14 July 2023

Revised Date 13 October 2023

Accepted Date 13 October 2023

Published Date 03 November 2023

Abstract

Abstract

Optical analog computing avoids the photoelectric conversion in various application scenarios by directly modulating the optical input in the spatial domain. Therefore, it has become a research focus in many applications such as image processing. In this paper, a polarization-multiplexed optical analog computing metasurface structure based on the Green's function method is designed using topologal optimization. Under different linearly polarized light incidence, this topological metasurface can independently tailor the amplitude and phase of the transmitted light field. It achieves bright-field imaging and one-dimensional second-order differentiation operations in orthogonal polarization states, as well as a polarization- controlled differentiation direction for a multiplexed differential system. These polarization-multiplexed designs can play a vital role in more optical computing application scenarios.
- topological optimization /
- optical differentiation /
- metasurfaces /
- polarization multiplexing

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References

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Overview

Overview

With the continuous development of information technology, the requirements for signal processing in various application scenarios have become higher and higher, and the data capacity has also shown explosive growth. The processing of large amounts of data has become a worldwide problem. However, existing electronic technologies have limitations in terms of speed and power consumption, making it difficult to achieve real-time, high-throughput signal processing. In recent years, with the image spatial differentiation playing an increasingly important role in signal processing and other application fields, and the continuous advancement of micro-nano processing technology, optical analog computing has attracted much attention. It avoids the photoelectric conversion in various application scenarios by directly modulating the optical input in the spatial domain. There are two distinct approaches to realize the optical analog computing, one is based on the 4F optical systems, while the other is metasurface structures based on the Green's function method. Among them, the recently developed dielectric metasurfaces can realize various mathematical operations of optical signals, such as differentiation and integration, and has become one of the most interesting scientific and engineering topics. This paper presents the design of polarization-multiplexed optical analog computing metasurfaces based on the Green's function method. Numerical simulations using the Finite-Difference Time-Domain (FDTD) method were conducted to investigate the performance of the designed metasurfaces. The final single-layer metasurface structure is entirely binary after topological optimization, which can be constructed using titanium dioxide (TiO₂) and air. Under different linearly polarized light incidences, this topological metasurface can independently tailor the amplitude and phase of the transmitted light field to achieve spatial optical differentiation functionalities. Two polarization-multiplexed dual-function analog computing metasurfaces were simulated and verified with the computational results meeting the expected design theory. One of them achieves bright-field imaging and one-dimensional second-order differentiation operations in orthogonal polarization states. The other design is a multiplexed differential system that can control the second-order differentiation operation direction in accordance with different orthogonal linear polarization states. For TE-polarized incidence, one-dimensional second-order differentiation is achieved in the x-direction, with no transmission in the y-direction. For TM-polarized incidence, one-dimensional second-order differentiation occurs in the y-direction, with no transmission in the x-direction, enabling the extraction of edge information in different directions for the orthogonal polarization states. These polarization- multiplexed designs can play a role in more optical computing application scenarios.