Maxwell's fish-eye is a paradigm for an absolute optical instrument with a refractive index deduced from the stereographic projection of a sphere on a plane. We investigate experimentally the dynamics of flexural waves in a thin plate with a thickness varying according to the Maxwell fish-eye index profile and a clamped boundary. We demonstrate subwavelength focusing and temporal pulse compression at the image point. This is achieved by introducing a sink emitting a cancelling signal optimally shaped using a time-reversal procedure. Perfect absorption and outward going wave cancellation at the focus point are demonstrated. The time evolution of the kinetic energy stored inside the cavity reveals that the sink absorbs energy out of the plate ten times faster than the natural decay rate.
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25 September 2023
Research Article|
September 27 2023
Subwavelength pulse focusing and perfect absorption in the Maxwell fish-eye Available to Purchase
Gautier Lefebvre
;
Gautier Lefebvre
(Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Visualization, Writing – original draft, Writing – review & editing)
1
Université de technologie de Compiègne, Roberval (Mechanics, Energy and Electricity), Centre de recherche Royallieu–CS
, 60319-60203 Compiègne Cedex, France
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Marc Dubois
;
Marc Dubois
(Conceptualization, Formal analysis, Investigation, Methodology, Writing – review & editing)
2
Aix-Marseille Univ, CNRS, Centrale Marseille, Institut Fresnel
, 13013 Marseille, France
and Multiwave Imaging SAS
, Marseille 13013, France
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Younes Achaoui;
Younes Achaoui
(Conceptualization, Formal analysis, Investigation, Validation)
3
Laboratory for the Study of Advanced Materials and Applications, Department of Physics, Moulay Ismail University
, B.P. 11201, Zitoune, Meknes, Morocco
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Ros Kiri Ing
;
Ros Kiri Ing
(Conceptualization, Formal analysis, Investigation, Methodology, Resources, Validation, Writing – review & editing)
4
Institut Langevin, ESPCI ParisTech CNRS UMR7587
, 1 rue Jussieu, 75238 Paris Cedex 05, France
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Mathias Fink
;
Mathias Fink
(Conceptualization, Formal analysis, Investigation, Writing – review & editing)
4
Institut Langevin, ESPCI ParisTech CNRS UMR7587
, 1 rue Jussieu, 75238 Paris Cedex 05, France
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Sébastien Guenneau
;
Sébastien Guenneau
(Conceptualization, Formal analysis, Investigation, Project administration, Supervision, Validation, Writing – original draft, Writing – review & editing)
5
UMI 2004 Abraham de Moivre-CNRS, Imperial College London
, London SW7 2AZ, United Kingdom
6
The Blackett Laboratory, Department of Physics, Imperial College London
, London SW7 2AZ, United Kingdom
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Patrick Sebbah
Patrick Sebbah
a)
(Conceptualization, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Supervision, Validation, Writing – original draft, Writing – review & editing)
4
Institut Langevin, ESPCI ParisTech CNRS UMR7587
, 1 rue Jussieu, 75238 Paris Cedex 05, France
7
Department of Physics, The Jack and Pearl Resnick Institute for Advanced Technology, Bar-Ilan University
, Ramat-Gan 5290002, Israel
a)Author to whom correspondence should be addressed: [email protected]
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Gautier Lefebvre
1
Marc Dubois
2
Younes Achaoui
3
Ros Kiri Ing
4
Mathias Fink
4
Sébastien Guenneau
5,6
Patrick Sebbah
4,7,a)
1
Université de technologie de Compiègne, Roberval (Mechanics, Energy and Electricity), Centre de recherche Royallieu–CS
, 60319-60203 Compiègne Cedex, France
2
Aix-Marseille Univ, CNRS, Centrale Marseille, Institut Fresnel
, 13013 Marseille, France
and Multiwave Imaging SAS
, Marseille 13013, France
3
Laboratory for the Study of Advanced Materials and Applications, Department of Physics, Moulay Ismail University
, B.P. 11201, Zitoune, Meknes, Morocco
4
Institut Langevin, ESPCI ParisTech CNRS UMR7587
, 1 rue Jussieu, 75238 Paris Cedex 05, France
5
UMI 2004 Abraham de Moivre-CNRS, Imperial College London
, London SW7 2AZ, United Kingdom
6
The Blackett Laboratory, Department of Physics, Imperial College London
, London SW7 2AZ, United Kingdom
7
Department of Physics, The Jack and Pearl Resnick Institute for Advanced Technology, Bar-Ilan University
, Ramat-Gan 5290002, Israel
a)Author to whom correspondence should be addressed: [email protected]
Appl. Phys. Lett. 123, 132203 (2023)
Article history
Received:
August 04 2023
Accepted:
September 13 2023
Citation
Gautier Lefebvre, Marc Dubois, Younes Achaoui, Ros Kiri Ing, Mathias Fink, Sébastien Guenneau, Patrick Sebbah; Subwavelength pulse focusing and perfect absorption in the Maxwell fish-eye. Appl. Phys. Lett. 25 September 2023; 123 (13): 132203. https://doi.org/10.1063/5.0170815
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