Experiments on Maxwell's Fish-eye dynamics in elastic plates
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)), 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, since its imaging properties...
| Main Authors: | , , , , , |
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| Format: | Text |
| Language: | unknown |
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arXiv
2014
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| Subjects: | |
| Online Access: | https://dx.doi.org/10.48550/arxiv.1411.5810 https://arxiv.org/abs/1411.5810 |
| Summary: | 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)), 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, since 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, 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. : 5 pages, 5 figures, Supplementary materials 2 pages, 1 figure, 1 video |
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