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

doi:https://doi.org/10.1063/1.4905730

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

Department of Physics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

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/R_max)²)², with h(0) = 0.5 mm, h(R_max) = 2 mm, and R_max = 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 language	English
Article number	024101
Journal	Applied Physics Letters
Volume	106
Issue number	2
DOIs	https://doi.org/10.1063/1.4905730
State	Published - 12 Jan 2015

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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https://doi.org/10.1063/1.4905730

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title = "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 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.",

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AU - Lefebvre, Gautier

AU - Dubois, Marc

AU - Beauvais, Romain

AU - Achaoui, Younes

AU - Ing, Ros Kiri

AU - Guenneau, Sébastien

AU - Sebbah, Patrick

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AB - 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.

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

Abstract

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