Experiments on Maxwell's Fish-eye dynamics in elastic plates

We experimentally demonstrate that a Duraluminium thin plate with a thickness profile varying radially in a piecewise constant fashion as h(r)=h(0)(1+(r/Rmax)), with h(0)=0.5 mm, h(Rmax)=2 mm and Rmax=10 cm behaves in many ways as Maxwell's fish-eye lens in optics, since its imaging properties...

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Main Authors: Lefebvre, Gautier, Dubois, Marc, Beauvais, Romain, Achaoui, Younes, Ing, Ros Kiri, Sebbah, Patrick
Format: Text
Language:unknown
Published: arXiv 2014
Subjects:
Classical Physics physics.class-ph
Materials Science cond-mat.mtrl-sci
FOS Physical sciences
North Pole
South Pole
South pole
Online Access:https://dx.doi.org/10.48550/arxiv.1411.5810
https://arxiv.org/abs/1411.5810
id ftdatacite:10.48550/arxiv.1411.5810
record_format openpolar
spelling ftdatacite:10.48550/arxiv.1411.5810 2023-05-15T17:39:49+02:00 Experiments on Maxwell's Fish-eye dynamics in elastic plates Lefebvre, Gautier Dubois, Marc Beauvais, Romain Achaoui, Younes Ing, Ros Kiri Sebbah, Patrick 2014 https://dx.doi.org/10.48550/arxiv.1411.5810 https://arxiv.org/abs/1411.5810 unknown arXiv https://dx.doi.org/10.1063/1.4905730 arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Classical Physics physics.class-ph Materials Science cond-mat.mtrl-sci FOS Physical sciences article-journal Article ScholarlyArticle Text 2014 ftdatacite https://doi.org/10.48550/arxiv.1411.5810 https://doi.org/10.1063/1.4905730 2022-04-01T12:30:00Z We experimentally demonstrate that a Duraluminium thin plate with a thickness profile varying radially in a piecewise constant fashion as h(r)=h(0)(1+(r/Rmax)), with h(0)=0.5 mm, h(Rmax)=2 mm and Rmax=10 cm behaves in many ways as Maxwell's fish-eye lens in optics, since its imaging properties for a Gaussian pulse with central frequencies 30~kHz and 60~kHz are very similar to those predicted by ray trajectories (great circles) on a virtual sphere (rays emanating from the North pole meet at the South pole). However, refocusing time depends on the carrier frequency as a direct consequence of the dispersive nature of flexural waves in thin plates. Importantly, experimental results are in good agreement with Finite-Difference-Time-Domain simulations. : 5 pages, 5 figures, Supplementary materials 2 pages, 1 figure, 1 video Text North Pole South pole DataCite Metadata Store (German National Library of Science and Technology) North Pole South Pole
institution Open Polar
collection DataCite Metadata Store (German National Library of Science and Technology)
op_collection_id ftdatacite
language unknown
topic Classical Physics physics.class-ph
Materials Science cond-mat.mtrl-sci
FOS Physical sciences
spellingShingle Classical Physics physics.class-ph
Materials Science cond-mat.mtrl-sci
FOS Physical sciences
Lefebvre, Gautier
Dubois, Marc
Beauvais, Romain
Achaoui, Younes
Ing, Ros Kiri
Sebbah, Patrick
Experiments on Maxwell's Fish-eye dynamics in elastic plates
topic_facet Classical Physics physics.class-ph
Materials Science cond-mat.mtrl-sci
FOS Physical sciences
description We experimentally demonstrate that a Duraluminium thin plate with a thickness profile varying radially in a piecewise constant fashion as h(r)=h(0)(1+(r/Rmax)), with h(0)=0.5 mm, h(Rmax)=2 mm and Rmax=10 cm behaves in many ways as Maxwell's fish-eye lens in optics, since its imaging properties for a Gaussian pulse with central frequencies 30~kHz and 60~kHz are very similar to those predicted by ray trajectories (great circles) on a virtual sphere (rays emanating from the North pole meet at the South pole). However, refocusing time depends on the carrier frequency as a direct consequence of the dispersive nature of flexural waves in thin plates. Importantly, experimental results are in good agreement with Finite-Difference-Time-Domain simulations. : 5 pages, 5 figures, Supplementary materials 2 pages, 1 figure, 1 video
format Text
author Lefebvre, Gautier
Dubois, Marc
Beauvais, Romain
Achaoui, Younes
Ing, Ros Kiri
Sebbah, Patrick
author_facet Lefebvre, Gautier
Dubois, Marc
Beauvais, Romain
Achaoui, Younes
Ing, Ros Kiri
Sebbah, Patrick
author_sort Lefebvre, Gautier
title Experiments on Maxwell's Fish-eye dynamics in elastic plates
title_short Experiments on Maxwell's Fish-eye dynamics in elastic plates
title_full Experiments on Maxwell's Fish-eye dynamics in elastic plates
title_fullStr Experiments on Maxwell's Fish-eye dynamics in elastic plates
title_full_unstemmed Experiments on Maxwell's Fish-eye dynamics in elastic plates
title_sort experiments on maxwell's fish-eye dynamics in elastic plates
publisher arXiv
publishDate 2014
url https://dx.doi.org/10.48550/arxiv.1411.5810
https://arxiv.org/abs/1411.5810
geographic North Pole
South Pole
geographic_facet North Pole
South Pole
genre North Pole
South pole
genre_facet North Pole
South pole
op_relation https://dx.doi.org/10.1063/1.4905730
op_rights arXiv.org perpetual, non-exclusive license
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
op_doi https://doi.org/10.48550/arxiv.1411.5810
https://doi.org/10.1063/1.4905730
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