A study of negative permittivity and permeability for small sphere

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

doi:10.1109/LAWP.2013.2282331

A study of negative permittivity and permeability for small sphere

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

Department of Electrical Engineering & Computer Science

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

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 language	English (US)
Article number	6601661
Pages (from-to)	1228-1231
Number of pages	4
Journal	IEEE Antennas and Wireless Propagation Letters
Volume	12
DOIs	https://doi.org/10.1109/LAWP.2013.2282331
State	Published - 2013

Keywords

Mie's series
negative permittivity and permeability

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/LAWP.2013.2282331

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abstract = "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.",

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AU - Mei, Zicong

AU - Sarkar, Tapan K.

AU - Salazar-Palma, Magdalena

PY - 2013

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N2 - 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.

AB - 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.

KW - Mie's series

KW - negative permittivity and permeability

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ER -

A study of negative permittivity and permeability for small sphere

Abstract

Keywords

ASJC Scopus subject areas

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