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傅里叶准晶中的波传输:通过水波揭示

Wave Transport in Fourier Quasicrystals Revealed by Water Waves

Angélique Campaniello, Lior Alon, Rémi Carminati, Emmanuel Fort, Marcel Filoche

arXiv 2608.14261首次发表:更新:

AI 中文总结

该研究以水波散射二维傅里叶准晶,发现三种波传输机制,确立其为可通过衍射峰排列控制波传输的物理平台。

AI 中文摘要

傅里叶准晶是一种非周期结构,其衍射谱不像普通准晶那样由密集的布拉格峰组成,而是由分散在离散非周期集合中的孤立峰构成。这种稀疏的倒空间结构应使波传输基本不受干扰,仅在少数选定波矢处例外。我们利用表面水波对二维傅里叶准晶的散射来验证这一预测,全场测量显示,随着入射波矢增大,存在三种不同的传输机制:透明、选择性散射和强散射。通过从测量波场中重构结构因子,我们直接将这些机制与 underlying 倒空间结构关联起来。我们的研究确立了傅里叶准晶作为一种物理平台,可通过倒空间中衍射峰的排列来控制波传输。

英文摘要

Fourier quasicrystals are aperiodic structures whose diffraction spectrum consists not of a dense set of Bragg peaks, as in ordinary quasicrystals, but of isolated ones scattered across a discrete, nonperiodic set. This sparse reciprocal-space structure should leave wave transport largely undisturbed except at a few selected wavevectors. We put this prediction to the test using surface water waves scattering off a two-dimensional Fourier quasicrystal. Full-field measurements reveal three distinct transport regimes as the incident wavevector increases: transparency, selective scattering, and strong scattering. By reconstructing the structure factor from the measured wavefields, we directly relate these regimes to the underlying reciprocal-space structure. Our results establish Fourier quasicrystals as a physical platform in which wave transport can be controlled through the organization of diffraction peaks in reciprocal space.

Comments7 pages, 7 figures

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