• Photonics Research
  • Vol. 9, Issue 9, 09001758 (2021)
Danping Pan1、†, Lei Wan1、2、†, Min Ouyang1, Wei Zhang1, Alexander A. Potapov1, Weiping Liu1, Zixian Liang3, Tianhua Feng1、6、*, and Zhaohui Li4、5、7、*
Author Affiliations
  • 1Department of Electronic Engineering, College of Information Science and Technology, Jinan University, Guangzhou 510632, China
  • 2Wuhan National Laboratory for Optoelectronics, Huazhong University of Science and Technology, Wuhan 430074, China
  • 3Institute of Microscale Optoelectronics, Shenzhen University, Shenzhen 518060, China
  • 4State Key Laboratory of Optoelectronic Materials and Technologies and School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou 511400, China
  • 5Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Zhuhai 519000, China
  • 6e-mail: thfeng@jnu.edu.cn
  • 7e-mail: lzhh88@sysu.edu.cn
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    Abstract

    Laplace operation, the isotropic second-order differentiation, on spatial functions is an essential mathematical calculation in most physical equations and signal processing. Realizing the Laplace operation in a manner of optical analog computing has recently attracted attention, but a compact device with a high spatial resolution is still elusive. Here, we introduce a Laplace metasurface that can perform the Laplace operation for incident light-field patterns. By exciting the quasi-bound state in the continuum, an optical transfer function for nearly perfect isotropic second-order differentiation has been obtained with a spatial resolution of wavelength scale. Such a Laplace metasurface has been numerically validated with both 1D and 2D spatial functions, and the results agree well with that of the ideal Laplace operation. In addition, the edge detection of a concerned object in an image has been demonstrated with the Laplace metasurface. Our results pave the way to the applications of metasurfaces in optical analog computing and image processing.
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    Danping Pan, Lei Wan, Min Ouyang, Wei Zhang, Alexander A. Potapov, Weiping Liu, Zixian Liang, Tianhua Feng, Zhaohui Li. Laplace metasurfaces for optical analog computing based on quasi-bound states in the continuum[J]. Photonics Research, 2021, 9(9): 09001758
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    Category: Nanophotonics and Photonic Crystals
    Received: Apr. 5, 2021
    Accepted: Jun. 1, 2021
    Published Online: Aug. 20, 2021
    The Author Email: Tianhua Feng (thfeng@jnu.edu.cn), Zhaohui Li (lzhh88@sysu.edu.cn)