On the epsilon near zero condition for spatially dispersive materials

The epsilon-near-zero (ENZ) condition in natural and artificial plasmas is considered for spatially dispersive materials. In the presence of spatial dispersion the ENZ condition must be judged by vanishing of the electric displacement field in real-space. Unlike the simple case of local materials wh...

Full description

Bibliographic Details
Main Authors: Ebrahim Forati, George W Hanson
Format: Article
Language:English
Published: IOP Publishing 2013-01-01
Series:New Journal of Physics
Online Access:https://doi.org/10.1088/1367-2630/15/12/123027
_version_ 1827874475556732928
author Ebrahim Forati
George W Hanson
author_facet Ebrahim Forati
George W Hanson
author_sort Ebrahim Forati
collection DOAJ
description The epsilon-near-zero (ENZ) condition in natural and artificial plasmas is considered for spatially dispersive materials. In the presence of spatial dispersion the ENZ condition must be judged by vanishing of the electric displacement field in real-space. Unlike the simple case of local materials where ENZ occurs at the plasma frequency, in spatially dispersive materials the matter is more complicated. To consider the spatially dispersive case, we obtain the momentum-dependent permittivity in real-space, and define a characteristic length parameter, in addition to the Debye length, which governs polarization screening. Using this formulation, conditions are investigated under which the electric displacement field (equivalently, the real-space permittivity) can vanish or be strongly diminished, even in the presence of spatial dispersion, implementing an ENZ material.
first_indexed 2024-03-12T16:52:51Z
format Article
id doaj.art-9fd6fb622dc64a549b686fe388143290
institution Directory Open Access Journal
issn 1367-2630
language English
last_indexed 2024-03-12T16:52:51Z
publishDate 2013-01-01
publisher IOP Publishing
record_format Article
series New Journal of Physics
spelling doaj.art-9fd6fb622dc64a549b686fe3881432902023-08-08T11:06:35ZengIOP PublishingNew Journal of Physics1367-26302013-01-01151212302710.1088/1367-2630/15/12/123027On the epsilon near zero condition for spatially dispersive materialsEbrahim Forati0George W Hanson1Electrical Engineering Department, University of Wisconsin-Milwaukee , Milwaukee, WI 53211, USAElectrical Engineering Department, University of Wisconsin-Milwaukee , Milwaukee, WI 53211, USAThe epsilon-near-zero (ENZ) condition in natural and artificial plasmas is considered for spatially dispersive materials. In the presence of spatial dispersion the ENZ condition must be judged by vanishing of the electric displacement field in real-space. Unlike the simple case of local materials where ENZ occurs at the plasma frequency, in spatially dispersive materials the matter is more complicated. To consider the spatially dispersive case, we obtain the momentum-dependent permittivity in real-space, and define a characteristic length parameter, in addition to the Debye length, which governs polarization screening. Using this formulation, conditions are investigated under which the electric displacement field (equivalently, the real-space permittivity) can vanish or be strongly diminished, even in the presence of spatial dispersion, implementing an ENZ material.https://doi.org/10.1088/1367-2630/15/12/123027
spellingShingle Ebrahim Forati
George W Hanson
On the epsilon near zero condition for spatially dispersive materials
New Journal of Physics
title On the epsilon near zero condition for spatially dispersive materials
title_full On the epsilon near zero condition for spatially dispersive materials
title_fullStr On the epsilon near zero condition for spatially dispersive materials
title_full_unstemmed On the epsilon near zero condition for spatially dispersive materials
title_short On the epsilon near zero condition for spatially dispersive materials
title_sort on the epsilon near zero condition for spatially dispersive materials
url https://doi.org/10.1088/1367-2630/15/12/123027
work_keys_str_mv AT ebrahimforati ontheepsilonnearzeroconditionforspatiallydispersivematerials
AT georgewhanson ontheepsilonnearzeroconditionforspatiallydispersivematerials