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Dielectric metasurfaces solve differential and integro-differential equations

Abdollahramezani, S ; Sharif University of Technology | 2017

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  1. Type of Document: Article
  2. DOI: 10.1364/OL.42.001197
  3. Publisher: OSA - The Optical Society , 2017
  4. Abstract:
  5. 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
  6. Keywords:
  7. Differential equations ; Fourier transforms ; Integrodifferential equations ; Lenses ; Mathematical transformations ; CMOS Compatible ; Constant coefficients ; Conventional lens ; Fourier transformations ; Homogeneous dielectrics ; Incident angles ; Incident light ; Mathematical operations ; Ordinary differential equations
  8. Source: Optics Letters ; Volume 42, Issue 7 , 2017 , Pages 1197-1200 ; 01469592 (ISSN)
  9. URL: https://www.osapublishing.org/ol/abstract.cfm?uri=ol-42-7-1197