Input impedance of horizontal dipole located above lossy metamaterial half-space

Y. Radi, S. Nikmehr, S. Hosseinzadeh

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


In this letter, accurate analytical expressions for the impedance of horizontal electric and magnetic dipoles located above half-space materials of arbitrary permittivity and permeability are derived. In this regard, the Fresnel reflection coefficients are approximated by series of exponential functions, and the impedance integrals are analytically solved. The results are compared to the case of natural materials (positive permittivity and permeability), and the key differences are explained. It is shown that for horizontal dipoles above materials of high and/or low conductivities, both results are coincident. For dipoles in the vicinity of low-loss materials, the results are somewhat identical. However, a better agreement could be obtained using higher-order approximations for the integrand.

Original languageEnglish (US)
Article number6075230
Pages (from-to)1255-1258
Number of pages4
JournalIEEE Antennas and Wireless Propagation Letters
StatePublished - 2011
Externally publishedYes


  • Horizontal electric dipole (HED)
  • horizontal magnetic dipole (HMD)
  • metamaterial

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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