A Study of Negative Permittivity and Permeability for Small Sphere Articles uri icon

publication date

  • September 2013

start page

  • 1228

end page

  • 1231


  • 12

International Standard Serial Number (ISSN)

  • 1536-1225

Electronic International Standard Serial Number (EISSN)

  • 1548-5757


  • 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.


  • ectromagnetic wave scattering; permeability; permittivity