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

Abstract : 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.
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Submitted on : Saturday, March 5, 2016 - 5:54:40 PM
Last modification on : Wednesday, May 15, 2019 - 3:52:01 AM

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Gautier Lefebvre, Marc Dubois, Romain Beauvais, Younes Achaoui, Ros-Kiri Ing, et al.. Experiments on Maxwell's fish-eye dynamics in elastic plates . Applied Physics Letters, American Institute of Physics, 2015, 106, pp.024101. ⟨10.1063/1.4905730⟩. ⟨hal-01283606⟩

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