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Deriving surface impedance for 2-d arrays of graphene patches using a variational method

Barzegar Parizi, S ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1109/JQE.2016.2643285
  3. Abstract:
  4. In this paper, we extract the fundamental resonant mode of a graphene patch using a variational method. We use 2-D eigenvalue problem obtained from the integral equation governing the surface current on graphene patterns under quasi-static approximation. To compute the eigenvalues, we propose three trial eigenfunctions, which meet the boundary conditions. We investigate the accuracy of these eigenfunctions with comparing to the results obtained by full wave simulations. Finally, we analyze square-lattice arrangements of graphene patches using the most accurate proposed eigenfunction and derive a very accurate surface impedance for it. The proposed surface impedance is much more precise than the surface impedance already reported by Padooru et al. for this structure. © 1965-2012 IEEE
  5. Keywords:
  6. Fundamental mode ; Graphene patch ; Surface impedance ; Variational method ; Graphene ; Integral equations ; Ordinary differential equations ; Eigenvalue problem ; Full-wave simulations ; Fundamental modes ; Quasistatic approximations ; Square lattices ; Surface current ; Surface impedances ; Variational methods ; Eigenvalues and eigenfunctions
  7. Source: IEEE Journal of Quantum Electronics ; Volume 53, Issue 1 , 2017 ; 00189197 (ISSN)
  8. URL: https://ieeexplore.ieee.org/document/7792578