Fabry-Pérot Huygens' metasurfaces: On homogenization of electrically thick composites

Sherman W. Marcus and Ariel Epstein
Phys. Rev. B 100, 115144 – Published 19 September 2019

Abstract

Realization of the anomalous refraction effects predicted by Huygens’ metasurfaces (HMS) has required tedious and time-consuming trial-and-error numerical full-wave computations. It is shown herein that these requirements can be alleviated for transverse magnetic propagation by a periodic dielectric-based HMS consisting of an electrically thick array of cascaded Fabry-Pérot etalons. This “Fabry-Pérot HMS” (FP-HMS) is easily designed to mimic the local scattering coefficients of a standard zero-thickness HMS (ZT-HMS) which, according to homogenization theory, should result in the desired anomalous refraction. To probe the characteristics of this practical FP-HMS, a method based on Floquet-Bloch (FB) analysis is derived for predicting the fields scattered from it for arbitrary angles of incidence. This method produces simple closed-form solutions for the FB wave amplitudes and the resulting fields are shown to agree well with full-wave simulations. These predictions and full-wave simulations verify the applicability of homogenization and scattering properties of ZT-HMSs to thick structures. They also verify the proposed semianalytical microscopic design procedure for such structures, offering an effective alternative path to implementation of theoretically envisioned intricate field manipulating devices.

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  • Received 14 February 2019
  • Revised 18 July 2019

DOI:https://doi.org/10.1103/PhysRevB.100.115144

©2019 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Sherman W. Marcus and Ariel Epstein

  • Andrew and Erna Viterbi Faculty of Electrical Engineering, Technion - Israel Institute of Technology, Haifa 3200003, Israel

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Issue

Vol. 100, Iss. 11 — 15 September 2019

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