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

Gautier Lefebvre, Marc Dubois, Romain Beauvais, Younes Achaoui, Ros Kiri Ing, Sébastien Guenneau, Patrick Sebbah

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19 Scopus citations


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.

Original languageEnglish
Article number024101
JournalApplied Physics Letters
Issue number2
StatePublished - 12 Jan 2015

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FundersFunder number
European Research Council


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