Experiments on Maxwell's fish-eye dynamics in elastic plates
International audience We experimentally demonstrate that a Duraluminium thin plate with a thickness profile varying radially in a piecewise constant fashion as , 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...
Published in: | Applied Physics Letters |
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Online Access: | https://hal.science/hal-01283606 https://doi.org/10.1063/1.4905730 |
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ftespciparistech:oai:HAL:hal-01283606v1 2024-06-23T07:55:24+00:00 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 Institut Langevin - Ondes et Images (UMR7587) (IL) Ecole Superieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI Paris) Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS) Institut FRESNEL (FRESNEL) Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS) EPSILON (EPSILON) Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS) Université Paris Sciences et Lettres (PSL) ANR-12-BS09-0003,PLATON,PLAques à trous borgnes pour le contrôle des ONdes de flexion(2012) 2015-01-13 https://hal.science/hal-01283606 https://doi.org/10.1063/1.4905730 en eng HAL CCSD American Institute of Physics info:eu-repo/semantics/altIdentifier/doi/10.1063/1.4905730 hal-01283606 https://hal.science/hal-01283606 doi:10.1063/1.4905730 ISSN: 0003-6951 EISSN: 1077-3118 Applied Physics Letters https://hal.science/hal-01283606 Applied Physics Letters, 2015, 106, pp.024101. ⟨10.1063/1.4905730⟩ [PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics] info:eu-repo/semantics/article Journal articles 2015 ftespciparistech https://doi.org/10.1063/1.4905730 2024-06-11T14:09:06Z International audience We experimentally demonstrate that a Duraluminium thin plate with a thickness profile varying radially in a piecewise constant fashion as , 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 North Pole South pole ESPCI ParisTech: HAL (Ecole Supérieure de Physique et Chimie Industrielles) South Pole North Pole Applied Physics Letters 106 2 024101 |
institution |
Open Polar |
collection |
ESPCI ParisTech: HAL (Ecole Supérieure de Physique et Chimie Industrielles) |
op_collection_id |
ftespciparistech |
language |
English |
topic |
[PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics] |
spellingShingle |
[PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics] 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 |
[PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics] |
description |
International audience We experimentally demonstrate that a Duraluminium thin plate with a thickness profile varying radially in a piecewise constant fashion as , 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 |
Institut Langevin - Ondes et Images (UMR7587) (IL) Ecole Superieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI Paris) Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS) Institut FRESNEL (FRESNEL) Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS) EPSILON (EPSILON) Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS) Université Paris Sciences et Lettres (PSL) ANR-12-BS09-0003,PLATON,PLAques à trous borgnes pour le contrôle des ONdes de flexion(2012) |
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 |
HAL CCSD |
publishDate |
2015 |
url |
https://hal.science/hal-01283606 https://doi.org/10.1063/1.4905730 |
geographic |
South Pole North Pole |
geographic_facet |
South Pole North Pole |
genre |
North Pole South pole |
genre_facet |
North Pole South pole |
op_source |
ISSN: 0003-6951 EISSN: 1077-3118 Applied Physics Letters https://hal.science/hal-01283606 Applied Physics Letters, 2015, 106, pp.024101. ⟨10.1063/1.4905730⟩ |
op_relation |
info:eu-repo/semantics/altIdentifier/doi/10.1063/1.4905730 hal-01283606 https://hal.science/hal-01283606 doi:10.1063/1.4905730 |
op_doi |
https://doi.org/10.1063/1.4905730 |
container_title |
Applied Physics Letters |
container_volume |
106 |
container_issue |
2 |
container_start_page |
024101 |
_version_ |
1802648006316523520 |