Abstract

Leveraging subwavelength resonant nanostructures, plasmonic metasurfaces have recently attracted much attention as a breakthrough concept for engineering optical waves both spatially and spectrally. However, inherent ohmic losses concomitant with low coupling efficiencies pose fundamental impediments over their practical applications. Not only can all-dielectric metasurfaces tackle such substantial drawbacks, but also their CMOS-compatible configurations support both Mie resonances that are invariant to the incident angle. Here, we report on a transmittive metasurface comprising arrayed silicon nanodisks embedded in a homogeneous dielectric medium to manipulate phase and amplitude of incident light locally and almost independently. By taking advantage of the interplay between the electric/magnetic resonances and employing general concepts of spatial Fourier transformation, a highly efficient metadevice is proposed to perform mathematical operations including solution of ordinary differential and integro-differential equations with constant coefficients. Our findings further substantiate dielectric metasurfaces as promising candidates for miniaturized, two-dimensional, and planar optical analog computing systems that are much thinner than their conventional lens-based counterparts.

© 2017 Optical Society of America

Optical analog computing of spatial differentiation and edge detection with dielectric metasurfaces

Lei Wan, Danping Pan, Shuaifeng Yang, Wei Zhang, Alexander A. Potapov, Xia Wu, Weiping Liu, Tianhua Feng, and Zhaohui Li
Opt. Lett. 45(7) 2070-2073 (2020)

Analog optical computing based on a dielectric meta-reflect array

Ata Chizari, Sajjad Abdollahramezani, Mohammad Vahid Jamali, and Jawad A. Salehi
Opt. Lett. 41(15) 3451-3454 (2016)

Transmissive terahertz metalens with full phase control based on a dielectric metasurface

Delin Jia, Yuan Tian, Wei Ma, Xiaofeng Gong, Jiayi Yu, Guozhong Zhao, and Xiaomei Yu
Opt. Lett. 42(21) 4494-4497 (2017)

Two-dimensional optical differentiator for broadband edge detection based on dielectric metasurface

Meixue Zong, Yiqing Liu, Jinwen Lv, Shubin Zhang, and Zhengji Xu
Opt. Lett. 48(7) 1902-1905 (2023)

Optical solver for a system of ordinary differential equations based on an external feedback assisted microring resonator

Jie Hou, Jianji Dong, and Xinliang Zhang
Opt. Lett. 42(12) 2310-2313 (2017)