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An electrical analogy to Mie scattering

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  • José M. Caridad

    (School of Physics, Centre for Research on Adaptive Nanostructures and Nanodevices (CRANN), AMBER at CRANN, Trinity College Dublin, College Green
    Present address: Nanotech-Department of Micro and Nanotechnology, Technical University of Denmark, 2800 Kongens Lyngby, Denmark.)

  • Stephen Connaughton

    (School of Physics, Centre for Research on Adaptive Nanostructures and Nanodevices (CRANN), AMBER at CRANN, Trinity College Dublin, College Green)

  • Christian Ott

    (Chair for Applied Physics, Friedrich-Alexander-University Erlangen-Nürnberg (FAU))

  • Heiko B. Weber

    (Chair for Applied Physics, Friedrich-Alexander-University Erlangen-Nürnberg (FAU))

  • Vojislav Krstić

    (School of Physics, Centre for Research on Adaptive Nanostructures and Nanodevices (CRANN), AMBER at CRANN, Trinity College Dublin, College Green
    Chair for Applied Physics, Friedrich-Alexander-University Erlangen-Nürnberg (FAU))

Abstract

Mie scattering is an optical phenomenon that appears when electromagnetic waves, in particular light, are elastically scattered at a spherical or cylindrical object. A transfer of this phenomenon onto electron states in ballistic graphene has been proposed theoretically, assuming a well-defined incident wave scattered by a perfectly cylindrical nanometer scaled potential, but experimental fingerprints are lacking. We present an experimental demonstration of an electrical analogue to Mie scattering by using graphene as a conductor, and circular potentials arranged in a square two-dimensional array. The tabletop experiment is carried out under seemingly unfavourable conditions of diffusive transport at room-temperature. Nonetheless, when a canted arrangement of the array with respect to the incident current is chosen, cascaded Mie scattering results robustly in a transverse voltage. Its response on electrostatic gating and variation of potentials convincingly underscores Mie scattering as underlying mechanism. The findings presented here encourage the design of functional electronic metamaterials.

Suggested Citation

  • José M. Caridad & Stephen Connaughton & Christian Ott & Heiko B. Weber & Vojislav Krstić, 2016. "An electrical analogy to Mie scattering," Nature Communications, Nature, vol. 7(1), pages 1-6, November.
  • Handle: RePEc:nat:natcom:v:7:y:2016:i:1:d:10.1038_ncomms12894
    DOI: 10.1038/ncomms12894
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    Cited by:

    1. Valerio Di Giulio & P. A. D. Gonçalves & F. Javier García de Abajo, 2022. "An image interaction approach to quantum-phase engineering of two-dimensional materials," Nature Communications, Nature, vol. 13(1), pages 1-8, December.

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