Analytical models for predicting the effective permittivity of complementary metamaterial structures

Mohammed M. Bait-Suwailam, Leila Yousefi, Babak Alavikia*, Omar M. Ramahi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


We present an analytical formula to calculate the resultant effective permittivity of a metamaterial medium composed of unit cells with complementary structures. Complementary metamaterial can be considered to be the complementary screen of artificial magnetic materials. Based on Babinet's principle and duality, complementary metamaterial provides a negative effective permittivity in the vicinity of its resonance frequency. The developed formula is general and predicts the effective permittivity for a specific topology. The derived model validated by comparison to results obtained using full-wave simulation.

Original languageEnglish
Pages (from-to)1565-1569
Number of pages5
JournalMicrowave and Optical Technology Letters
Issue number7
Publication statusPublished - Jul 2013


  • circuit model
  • complementary split-ring resonator
  • metamaterials
  • negative refractive index

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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