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)2)2, 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. Its imaging propert...
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craippubl:10.1063/1.4905730 2024-02-11T10:08:40+01:00 Experiments on Maxwell's fish-eye dynamics in elastic plates Lefebvre, Gautier Dubois, Marc Beauvais, Romain Achaoui, Younes Ing, Ros Kiri Guenneau, Sébastien Sebbah, Patrick Direction générale de l'armement Groupe de Recherche Mesoimage European Research Council (ERC) Agence Nationale de la Recherche (L' Agence Nationale de la Recherche) 2015 http://dx.doi.org/10.1063/1.4905730 https://pubs.aip.org/aip/apl/article-pdf/doi/10.1063/1.4905730/14094863/024101_1_online.pdf en eng AIP Publishing Applied Physics Letters volume 106, issue 2 ISSN 0003-6951 1077-3118 Physics and Astronomy (miscellaneous) journal-article 2015 craippubl https://doi.org/10.1063/1.4905730 2024-01-26T09:43:39Z 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)2)2, 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. 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, the 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. Article in Journal/Newspaper South pole AIP Publishing North Pole South Pole Applied Physics Letters 106 2 |
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AIP Publishing |
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English |
topic |
Physics and Astronomy (miscellaneous) |
spellingShingle |
Physics and Astronomy (miscellaneous) Lefebvre, Gautier Dubois, Marc Beauvais, Romain Achaoui, Younes Ing, Ros Kiri Guenneau, Sébastien Sebbah, Patrick Experiments on Maxwell's fish-eye dynamics in elastic plates |
topic_facet |
Physics and Astronomy (miscellaneous) |
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)2)2, 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. 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, the 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. |
author2 |
Direction générale de l'armement Groupe de Recherche Mesoimage European Research Council (ERC) Agence Nationale de la Recherche (L' Agence Nationale de la Recherche) |
format |
Article in Journal/Newspaper |
author |
Lefebvre, Gautier Dubois, Marc Beauvais, Romain Achaoui, Younes Ing, Ros Kiri Guenneau, Sébastien Sebbah, Patrick |
author_facet |
Lefebvre, Gautier Dubois, Marc Beauvais, Romain Achaoui, Younes Ing, Ros Kiri Guenneau, Sébastien 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 |
AIP Publishing |
publishDate |
2015 |
url |
http://dx.doi.org/10.1063/1.4905730 https://pubs.aip.org/aip/apl/article-pdf/doi/10.1063/1.4905730/14094863/024101_1_online.pdf |
geographic |
North Pole South Pole |
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North Pole South Pole |
genre |
South pole |
genre_facet |
South pole |
op_source |
Applied Physics Letters volume 106, issue 2 ISSN 0003-6951 1077-3118 |
op_doi |
https://doi.org/10.1063/1.4905730 |
container_title |
Applied Physics Letters |
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106 |
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2 |
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1790608207781036032 |