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.
- Mie's series
- negative permittivity and permeability
ASJC Scopus subject areas
- Electrical and Electronic Engineering