俞冠泽; 侯志林

doi:10.7498/aps.74.20250618

摘要

超表面研究的最新进展表明, 实现高效的波前调控需采用非局域超表面结构. 然而, 目前面向固体弹性波波前调控的超表面设计, 仍主要是基于广义斯涅耳定律(general Snell’s law, GSL)的局域结构, 其转换效率普遍偏低. 本研究将把面向声波的、基于多端口模型的非局域超表面设计方法推广应用于面向薄板弯曲波的超表面设计. 应用该方法, 本工作设计了用于实现薄板弯曲波异常反射、异常透射以及大数值孔径平面聚焦的非局域超表面. 有限元模拟结果表明, 依此设计的异常反射/透射超表面都具有接近100%的理想转换效率, 即便对于偏转角度高达80°的结构仍然如此; 而依此设计的非局域平面聚焦超表面, 其聚焦效率明显优于相应基于GSL的结构, 这一优势在大数值孔径结构中表现得更为明显. 这项工作不仅给出了两种在传感、能量收集等领域具有潜在应用价值的高效非局域超表面结构, 同时也为弹性波非局域超表面的设计提供了一种高效方法.

关键词:

Abstract

Recent development of metasurfaces indicates that achieving high efficiency requires nonlocal designs where the coupling between constituent units is fully considered. However, most metasurfaces for elastic waves are still designed as local structures based on the Generalized Snell’s Law (GSL), which ignores the coupling between sub-units, thus often resulting in low efficiency. In order to design nonlocal structures for flexural wave in thin elastic plate, a previously proposed method based on the multi-port structural model (MPSM) for acoustic metasurfaces is extended in this work. Using this method, anomalous reflector and anomalous refractor, each with a large diffraction angle and planar focuser with large numerical aperture for flexural waves in thin elastic plates, are designed.As the first example, an anomalous reflector or anomalous refractor for flexural wave on an infinite free thin elastic plate with elastic cylinder pairs assembled symmetrically on both surfaces is considered. The design target is to optimize the heights of the cylinder pairs, by which anomalous reflection or refraction for flexural wave in plate can be realized. It is shown that by modelling the structure as an MPSM, configurations with the desired functionalities can be efficiently determined. The three dimensional finite element simulations show that even for structures with a deflection angle as large as 80°, the proposed anomalous reflectors and refractors can achieve near-unity efficiency.By the same method, a planar focuser is further designed. It is shown that by optimizing the heights of each cylinder pair, the normally incident flexural wave can be focused on the incident side or the transmitting side of the metasurface with arbitrary focal length. It is found that the focusing efficiency of our nonlocal designs is significantly higher than that of their GSL-based counterparts, particularly for the structures with numerical apertures approaching unity. This work not only presents an effective design method for nonlocal metasurfaces of flexural waves in thin elastic plates, but also provides two efficient nonlocal structures with broad application prospects in sensing, energy harvesting, and other fields.

Keywords:

作者及机构信息

通信作者: 侯志林, phzlhou@scut.edu.cn

基金项目: 国家自然科学基金(批准号: 12274143)资助的课题.

Authors and contacts

Corresponding author: HOU Zhilin, phzlhou@scut.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 12274143).

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施引文献

下载: 全尺寸图片幻灯片

聚焦类型	横向长度	NA	$ {r_{{\text{ff}}}} $	HWMP	$ \eta $/%
反射式	$ 10{\lambda _0} $	0.928	29.92	$ 0.372{\lambda _0} $	64.36
反射式	$ 20{\lambda _0} $	0.980	48.01	$ 0.375{\lambda _0} $	48.97
透射式	$ 10{\lambda _0} $	0.928	23.66	$ 0.396{\lambda _0} $	67.82
透射式	$ 20{\lambda _0} $	0.980	38.59	$ 0.414{\lambda _0} $	67.71

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Nonlocal thin plate elastic wave metasurface designed based on multi port model

摘要

Abstract

作者及机构信息

通信作者: 侯志林, phzlhou@scut.edu.cn

Authors and contacts

Corresponding author: HOU Zhilin, phzlhou@scut.edu.cn

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Nonlocal thin plate elastic wave metasurface designed based on multi port model

摘要

Abstract

作者及机构信息

通信作者: 侯志林, phzlhou@scut.edu.cn

Authors and contacts

Corresponding author: HOU Zhilin, phzlhou@scut.edu.cn

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