# High-index dielectric metasurfaces performing mathematical operations

## TL;DR

This paper introduces dielectric metasurfaces capable of performing optical edge detection in the analog domain, enabling compact, low-power image processing suitable for integration with detectors.

## Contribution

It presents a novel silicon metasurface design that performs 1st- and 2nd-order spatial differentiation for optical image processing, advancing integrated all-optical edge detection technology.

## Key findings

- Successfully demonstrated 2nd-derivative edge detection on images
- Operates at a numerical aperture of 0.35
- Potential for integration with optical detectors

## Abstract

Image processing and edge detection are at the core of several newly emerging technologies, such as augmented reality, autonomous driving and more generally object recognition. Image processing is typically performed digitally using integrated electronic circuits and algorithms, implying fundamental size and speed limitations, as well as significant power needs. On the other hand, it can also be performed in a low-power analog fashion using Fourier optics, requiring however bulky optical components. Here, we introduce dielectric metasurfaces that perform optical image edge detection in the analog domain using a subwavelength geometry that can be readily integrated with detectors. The metasurface is composed of a suitably engineered array of nanobeams designed to perform either 1st- or 2nd-order spatial differentiation. We experimentally demonstrate the 2nd-derivative operation on an input image, showing the potential of all-optical edge detection using a silicon metasurface geometry working at a numerical aperture as large as 0.35.

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Source: https://tomesphere.com/paper/1903.08402