Subwavelength pulse focusing and perfect absorption in the Maxwell fish-eye

Gautier Lefebvre, Marc Dubois, Younes Achaoui, Ros Kiri Ing, Mathias Fink, Sébastien Guenneau, Patrick Sebbah

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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.

Original languageEnglish
Article number132203
JournalApplied Physics Letters
Issue number13
StatePublished - 25 Sep 2023

Bibliographical note

Publisher Copyright:
© 2023 Author(s).


P.S. acknowledges the Agence Nationale de la Recherche support under Grant ANR PLATON (No. 12-BS09-003-01), the LABEX WIFI (Laboratory of Excellence within the French Program Investments for the Future) under Reference No. ANR-10-IDEX-0001-02 PSL*, and the Groupement de Recherche 3219 MesoImage. and were created by company 3DBM.

FundersFunder number
Agence Nationale de la Recherche12-BS09-003-01


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