Performing derivative and integral operations for optical waves with optical metamaterials

Dai, Cunli; Zhao, Zhigang; Li, Xin; Yang, Hong-Wei

doi:10.1016/j.physleta.2016.07.016

Cited by 7 publications

(3 citation statements)

References 23 publications

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“…The first type is based on Fourier transform methods. [4][5][6][7][8][9][10][11][12][13] The general architecture of this type consists of artificial lenses like metamaterials or metasurfaces configured in 4F form and provides certain mathematical relationships between the input and output ports. However, most of the inputand-output relationships can only be differential or integral due to the limitation of fundamental physics, which greatly restricts such systems from obtaining a wider range of applications.…”

Section: Introductionmentioning

confidence: 99%

Complex Matrix Equation Solver Based on Computational Metasurface

Yang,

Wu,

Shao

et al. 2023

Adv Funct Materials

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With the increasing demands for computing powers, wave‐based computation has attracted researcher's attention due to its inherent high speed. Metasurfaces have flexible and powerful capabilities to manipulate electromagnetic waves and are good candidates for building a next‐generation of wave‐based computers. In this work, a computational‐metasurface‐based equation solver that yields real‐time solutions to arbitrary complex matrix equations (CME) in the form of K · x + c = 0 is proposed. Full‐wave simulations and experimental measurements are conducted to verify the functionality of the proposed solver. This work serves to provide a promising technique to overcome some shortcomings of the existing designs and lays the first stone of the bridge toward programmable wave‐space computers.

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Section: Introductionmentioning

confidence: 99%

Complex Matrix Equation Solver Based on Computational Metasurface

Yang,

Wu,

Shao

et al. 2023

Adv Funct Materials

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“…By tuning the characteristic geometry of photonic crystals, modulation of the spatial frequency content of transmitted or reflected optical fields can be achieved. Other methods proposed for performing direct spatial-frequency filtering have included phase-shifted Bragg gratings [12][13][14], thin-film slab waveguides [15][16][17] and other multilayer thin film stacks [18][19][20]. An analogue computing approach based on Brewster reflection [21] has been proposed and most recently, the use of thin metallic films in the Kretschmann Version accepted for publication configuration has been demonstrated for wavefront retrieval [22] and image edge enhancement [5] using the dependence of surface plasmon polariton (SPP) excitation on angle of incidence.…”

Section: Introductionmentioning

confidence: 99%

Optical image processing with metasurface dark modes

2018

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Here we consider image processing using the optical modes of metasurfaces with an angle-dependent excitation. These spatially dispersive modes can be used to directly manipulate the spatial frequency content of an incident field, suggesting their use as ultra-compact alternatives for analog optical information processing. A general framework for describing the filtering process in terms of the optical transfer functions is provided. In the case where the relevant mode cannot be excited with a normally incident plane wave (a dark mode), high-pass filtering is obtained. We provide examples demonstrating filtering of both amplitude and pure phase objects.

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“…Likewise, difference operations or derivatives of the optical wavefront by metasurfaces enhance edges, make phase gradients visible [8,9] or can be combined to form second derivatives and Laplacian operations. [10,11] Recently it was suggested that multilayers of metasurfaces could be used for forward and inverse optical Fourier transforms [12] enabling complex mathematical operations such as differentiation and integration [13][14][15] to be performed in Fourier space [16] as well as solving differential equations. [17] Such multilayer metasurfaces can form asymmetries such that the transmittance depends on which face of the metasurface is illuminated.…”

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confidence: 99%

Metasurfaces with Asymmetric Optical Transfer Functions for Optical Signal Processing

et al. 2019

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Metasurface thin-films created from arrays of structured optical elements have been shown to perform spatial filtering of optical signals. To extend their usefulness it is important that the symmetry of their response with changes to the in-plane wavevector kp → −kp can be tailored or even dynamically tuned. In this work we use a general theory of metasurfaces constructed from non-diffracting arrays of coupled metal particles to derive the optical transfer function and identify the physical properties essential for asymmetry. We validate our theory experimentally showing how the asymmetric response of a two-dimensional (planar) metasurface can be optically tuned. Our results set the direction for future developments of metasurfaces for optical signal processing.

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Performing derivative and integral operations for optical waves with optical metamaterials

Cited by 7 publications

References 23 publications

Complex Matrix Equation Solver Based on Computational Metasurface

Complex Matrix Equation Solver Based on Computational Metasurface

Optical image processing with metasurface dark modes

Metasurfaces with Asymmetric Optical Transfer Functions for Optical Signal Processing

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