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Gradient Index Devices for the Full Control of Elastic Waves in Plates

Archive ouverte : Article de revue

Jin, Yabin | Torrent, Daniel | Pennec, Yan | Pan, Yongdong, | Djafari-Rouhani, Bahram

Edité par HAL CCSD ; Nature Publishing Group

International audience. In this work, we present a method for the design of gradient index devices for elastic waves in plates. The method allows the design of devices to control the three fundamental modes, despite the fact that their dispersion relation is managed by different elastic constants. It is shown that by means of complex graded phononic crystals and thickness variations it is possible to independently design the three refractive indexes of these waves, allowing therefore their simultaneous control. The effective medium theory required for this purpose is presented, and the method is applied to the design of the Luneburgand Maxwell lenses as well as to the design of a flat gradient index lens. Finally, numerical simulations are used to demonstrate the performance of the method in a broadband frequency region.

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