Surface polaritons in magnetic metamaterials from perspective of effective-medium and circuit models

<p style="text-align:justify;"> Surface waves are responsible for many phenomena occurring in metamaterials and have been studied extensively. At the same time, the effects of inter-element coupling on surface electromagnetic waves (polaritons) remain poorly understood. Using two mo...

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Main Authors: Hadjicosti, K, Sydoruk, O, Maier, SA, Shamonina, E
Format: Journal article
Language:English
Published: AIP Publishing 2015
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author Hadjicosti, K
Sydoruk, O
Maier, SA
Shamonina, E
author_facet Hadjicosti, K
Sydoruk, O
Maier, SA
Shamonina, E
author_sort Hadjicosti, K
collection OXFORD
description <p style="text-align:justify;"> Surface waves are responsible for many phenomena occurring in metamaterials and have been studied extensively. At the same time, the effects of inter-element coupling on surface electromagnetic waves (polaritons) remain poorly understood. Using two models, one relying on the effective-medium approximation and the other on equivalent circuits, we studied theoretically surface polaritons propagating along an interface between air and a magnetic metamaterial. The metamaterial comprised split rings that could be uncoupled or coupled to each other in the longitudinal or transverse directions (along or perpendicular to the propagation direction). A metamaterial without inter-element coupling supported a single polariton. When a moderate longitudinal coupling was included, it changed the wave dispersion only quantitatively, and the results of the effective-medium and the circuit models were shown to agree at low wavenumbers. However, the presence of a transverse coupling changed the polariton dispersion dramatically. The effective-medium model yielded two branches of polariton dispersion at low values of the transverse coupling. As the coupling increased, both polaritons disappeared. The validity of the effective-medium model was further tested by employing the circuit model. In this model, surface polaritons could exist in the presence of a transverse coupling only if the boundary layer of the metamaterial included additional impedances, which could become non-Foster. The results reveal that the inter-element coupling is a major mechanism affecting the properties of the polaritons. They also highlight the limitations of using bulk effective-medium parameters for interface problems in metamaterials. I. INTRODUCTION </p>
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spelling oxford-uuid:2e5c65b6-ee3f-469a-b447-71ee339402902022-03-26T12:48:26ZSurface polaritons in magnetic metamaterials from perspective of effective-medium and circuit modelsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2e5c65b6-ee3f-469a-b447-71ee33940290EnglishSymplectic Elements at OxfordAIP Publishing2015Hadjicosti, KSydoruk, OMaier, SAShamonina, E <p style="text-align:justify;"> Surface waves are responsible for many phenomena occurring in metamaterials and have been studied extensively. At the same time, the effects of inter-element coupling on surface electromagnetic waves (polaritons) remain poorly understood. Using two models, one relying on the effective-medium approximation and the other on equivalent circuits, we studied theoretically surface polaritons propagating along an interface between air and a magnetic metamaterial. The metamaterial comprised split rings that could be uncoupled or coupled to each other in the longitudinal or transverse directions (along or perpendicular to the propagation direction). A metamaterial without inter-element coupling supported a single polariton. When a moderate longitudinal coupling was included, it changed the wave dispersion only quantitatively, and the results of the effective-medium and the circuit models were shown to agree at low wavenumbers. However, the presence of a transverse coupling changed the polariton dispersion dramatically. The effective-medium model yielded two branches of polariton dispersion at low values of the transverse coupling. As the coupling increased, both polaritons disappeared. The validity of the effective-medium model was further tested by employing the circuit model. In this model, surface polaritons could exist in the presence of a transverse coupling only if the boundary layer of the metamaterial included additional impedances, which could become non-Foster. The results reveal that the inter-element coupling is a major mechanism affecting the properties of the polaritons. They also highlight the limitations of using bulk effective-medium parameters for interface problems in metamaterials. I. INTRODUCTION </p>
spellingShingle Hadjicosti, K
Sydoruk, O
Maier, SA
Shamonina, E
Surface polaritons in magnetic metamaterials from perspective of effective-medium and circuit models
title Surface polaritons in magnetic metamaterials from perspective of effective-medium and circuit models
title_full Surface polaritons in magnetic metamaterials from perspective of effective-medium and circuit models
title_fullStr Surface polaritons in magnetic metamaterials from perspective of effective-medium and circuit models
title_full_unstemmed Surface polaritons in magnetic metamaterials from perspective of effective-medium and circuit models
title_short Surface polaritons in magnetic metamaterials from perspective of effective-medium and circuit models
title_sort surface polaritons in magnetic metamaterials from perspective of effective medium and circuit models
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AT sydoruko surfacepolaritonsinmagneticmetamaterialsfromperspectiveofeffectivemediumandcircuitmodels
AT maiersa surfacepolaritonsinmagneticmetamaterialsfromperspectiveofeffectivemediumandcircuitmodels
AT shamoninae surfacepolaritonsinmagneticmetamaterialsfromperspectiveofeffectivemediumandcircuitmodels