Inverse design of acoustic metasurfaces using space-filling points
Inverse design of acoustic metasurfaces using space-filling points
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DOI：
10.1063/5.0096869
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发表时间：
2022-08
影响因子：
4
通讯作者：
A. Krishna;Steven R. Craig;Chengzhi Shi;V. R. Joseph
中科院分区：
文献类型：
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作者：
A. Krishna;Steven R. Craig;Chengzhi Shi;V. R. Joseph
声学亚表面是一种二维材料，它以预定的频率在入射声波上赋予非平凡的振幅和相移。虽然声学亚表面具有非凡的波前工程能力，但它们的发展还不够好，不足以同时独立控制反射和发射声波的幅度和相位，这取决于它们的几何形状。我们的目标是解决逆设计问题，即找到一个几何图形来实现一组特定的声学特性。几何图形是通过将连续空间离散为有限数量的元素来建模的，其中每个元素可以填充空气或固体材料。执行全波模拟以获得给定几何形状的声学特性。模拟所有几何图形在计算上是不可行的。为了应对这一挑战，我们开发了一种基于实验设计的算法来高效地执行模拟。该算法从几个几何图形开始，并自适应地将几何图形添加到集合中，使得它们使用可能的几何图形的一小部分来填充所需声学属性的整个空间。我们发现，要获得任何给定的声学性质，几何图形至少需要有7×7个元素，容差为其最大范围的5.4%。这是通过使用所提出的算法模拟24,000个几何图形来实现的，该算法只是563×1012个可能几何图形中的[公式：请参阅文本]。该方法为逆设计问题提供了一个通用的解决方案，可以扩展到控制更多的声学特性。
Acoustic metasurfaces are two-dimensional materials that impart non-trivial amplitude and phase shifts on incident acoustic waves at a predetermined frequency. While acoustic metasurfaces enable extraordinary wavefront engineering capabilities, they are not developed well enough to independently control the amplitude and phase of reflected and transmitted acoustic waves simultaneously, which are governed by their geometry. We aim to solve the inverse design problem of finding a geometry to achieve a specified set of acoustic properties. The geometry is modeled by discretizing the continuous space into a finite number of elements, where each element can either be filled with air or solid material. Full wave simulations are performed to obtain the acoustic properties for a given geometry. It is computationally infeasible to simulate all geometries. To address this challenge, we develop an experimental design-based algorithm to efficiently perform the simulations. The algorithm starts with a few geometries and adaptively adds geometries to the set, such that they fill the entire space of the desired acoustic properties using a small fraction of the possible geometries. We find that the geometry needs to have at least 7 × 7 elements to obtain any given acoustic property with a tolerance of 5.4% of its maximum range. This is achieved by simulating 24 000 geometries using the proposed algorithm, which is only [Formula: see text] of the 563 × 1012 possible geometries. The method provides a general solution to the inverse design problem that can be extended to control more acoustic properties.