Circuit modeling of Metasurfaces with Printed Elements

R. Shavit, Y. Tzabari

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Metasurfaces are the 2D version of metamaterials technology and are designed as planar periodic structures with unit cell size of less than 0.1λ. The metamaterials can be characterized by the homogenization method as surfaces with effective tensor electric (3x3 matrix) and magnetic (3x3 matrix) susceptibilities. In case of metasurfaces with printed elements and arbitrary geometry (our case study) the metasurface can be represented by a tensor shunt admittance (2x2 matrix) at the interface between two transmission lines representing the two media on the two sides of the metasurface. The tensor shunt admittance can be extracted based on the boundary conditions at the location of the metasurface elements. As such the tensor shunt admittance depends on the metasurface geometry and the media on the two sides of the metasurface. In the literature, we can find two fundamental methods to extract the tensor shunt admittance. In the first method, the extraction is based on the analysis of the unit cell scattering parameters, while in the second method the extraction is based on the analysis of the sampled near field on top of the unit cell metasurface element. The scattering parameters analysis is performed for the dominant Floquet mode in the metasurface unit cell using two orthogonal polarization measurements or simulations. The circuit modeling holds for a relatively narrow incident angular sector around the normal to the metasurface plane. For larger incident angles on the metasurface the shunt admittance model fails due to diffraction and spatial dispersion effects from the metasurface elements. To improve the model performance beyond 500 incident angle there are two options. The 1st option is to recalibrate the model based on measurements or simulations taken at 500 and compute a new tensor shunt admittance based on the data measured at 500. The 2nd option is to modify the model of the shunt admittance and a more complex circuit modeling is required to represent the metasurface positioned at the interface between two different media. The circuit modeling of the metasurface accelerates the design cycle of a multilayer metasurface structure like radomes and flat lenses instead of the analysis based on a volumetric problem with an effective refractive index.

Original languageEnglish
Title of host publicationInternational Conference on Electromagnetics in Advanced Applications and IEEE-APS Topical Conference on Antennas and Propagation in Wireless Communications, ICEAA-IEEE APWC 2024
PublisherInstitute of Electrical and Electronics Engineers
Pages35
Number of pages1
Edition2024
ISBN (Electronic)9798350360974
DOIs
StatePublished - 1 Jan 2024
Event25th International Conference on Electromagnetics in Advanced Applications, ICEAA 2024 - Lisbon, Portugal
Duration: 2 Sep 20246 Sep 2024

Conference

Conference25th International Conference on Electromagnetics in Advanced Applications, ICEAA 2024
Country/TerritoryPortugal
CityLisbon
Period2/09/246/09/24

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Electrical and Electronic Engineering
  • Instrumentation
  • Radiation

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