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...
Main Authors: | , |
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Format: | Article |
Language: | English |
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IOP Publishing
2013-01-01
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Series: | New Journal of Physics |
Online Access: | https://doi.org/10.1088/1367-2630/15/12/123027 |
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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 |