Integral equation analysis of plane wave scattering by coplanar graphene-strip gratings in the thz range

Olga V. Shapoval, Juan Sebastian Gomez Diaz, Julien Perruisseau-Carrier, Juan R. Mosig, Alexander I. Nosich

Research output: Contribution to journalArticlepeer-review

120 Scopus citations


The plane wave scattering and absorption by finite and infinite gratings of free-space standing infinitely long graphene strips are studied in the THz range. A novel numerical approach, based on graphene surface impedance, hyper-singular integral equations, and the Nystrom method, is proposed. This technique guarantees fast convergence and controlled accuracy of computations. Reflectance, transmittance, and absorbance are carefully studied as a function of graphene and grating parameters, revealing the presence of surface plasmon resonances. Specifically, larger graphene relaxation times increases the number of resonances in the THz range, leading to higher wave transmittance due to the reduced losses; on the other hand an increase of graphene chemical potential up-shifts the frequency of plasmon resonances. It is also shown that a relatively low number of graphene strips (> 10) are able to reproduce Rayleigh anomalies. These features make graphene strips good candidates for many applications, including tunable absorbers and frequency selective surfaces.

Original languageEnglish (US)
Article number6524017
Pages (from-to)666-674
Number of pages9
JournalIEEE Transactions on Terahertz Science and Technology
Issue number5
StatePublished - Jan 1 2013
Externally publishedYes


  • Graphene strips
  • Nystrom-type algorithm
  • singular and hyper-singular integral equations (IEs)
  • surface plasmon resonances

ASJC Scopus subject areas

  • Radiation
  • Electrical and Electronic Engineering


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