A study of negative permittivity and permeability for small sphere

Zicong Mei, Tapan K. Sarkar, Magdalena Salazar-Palma

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


When analyzing a small dielectric sphere with Mie's series or at low frequencies, we will have singularities if the permittivity or permeability is-2. This letter shows that for electrodynamic situation, this singularity is only a result of error in the asymptotic analysis and will not appear in actual cases. However, for the electrostatic case, if one can create a permittivity of-2, this singularity does result in an infinite field.

Original languageEnglish (US)
Article number6601661
Pages (from-to)1228-1231
Number of pages4
JournalIEEE Antennas and Wireless Propagation Letters
StatePublished - 2013


  • Mie's series
  • negative permittivity and permeability

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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