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Broadband sub-diffraction and ultra-high energy density focusing of elastic waves in planar gradient-index lenses

Abstract : We demonstrate experimentally and theoretically the broadband sub-diffraction and ultra-high energy density focusing of elastic wave inside planar gradient-index (GRIN) plate lenses based on thickness variation. The full width at half maximum is ~0.40 times the minimum wavelength inside the lens λ0 or ~1/11 times the incident wavelength in the background plate λB. We analytically elucidate the underlying physical mechanism as the rapid oscillations in the propagator function at the focal distance. Our design displays several advantages including the broadband sub-diffraction behavior, three-order of magnitudes higher energy intensity at the focal point, and focusing capacity with a narrow transverse width of the lens, over the usual metastructure and/or phononic crystal based GRIN lenses. The broadband sub-diffraction and ultra-high energy density focusing can be used for energy harvesting and signal sensing.
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Submitted on : Monday, February 15, 2021 - 4:11:39 PM
Last modification on : Tuesday, May 4, 2021 - 5:08:07 PM
Long-term archiving on: : Sunday, May 16, 2021 - 7:49:36 PM

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Jinfeng Zhao, Xiaodong Cui, Bernard Bonello, Bahram Djafari-Rouhani, Weitao Yuan, et al.. Broadband sub-diffraction and ultra-high energy density focusing of elastic waves in planar gradient-index lenses. Journal of the Mechanics and Physics of Solids, Elsevier, 2021, 150, pp.104357. ⟨10.1016/j.jmps.2021.104357⟩. ⟨hal-03141945⟩

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