Computational metamaterials, artificially structured materials, have enabled the realization of mathematical operations, such as spatial integration, differentiation, and convolution when waves propagate through them. However, experimental verifications and relevant applications of microwave computational metamaterials have rarely been achieved so far. In this paper, we present the theoretical and experimental study on analog computing based on microwave computational metamaterials, to perform mathematical operations, such as fractional order Fourier transformation. To achieve such functionality, microwave metamaterials constructed with negative-refractive-index units are designed to implement the desired spatial operating function. We also explore the applications of the microwave metamaterial lens in the safety inspection of 3D printed objects and slice imaging by following the confocal imaging algorithm. We get good imagine results with high depth resolution at low frequencie...

中文翻译：

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利用微波计算超材料实现分数阶傅里叶变换和共聚焦成像

计算超材料，人工构造的材料，使得当波通过它们传播时，能够实现数学运算，例如空间积分，微分和卷积。但是，到目前为止，很少能实现微波计算超材料的实验验证和相关应用。在本文中，我们提出了基于微波计算超材料的模拟计算的理论和实验研究，以执行分数阶傅里叶变换等数学运算。为了实现这样的功能，构造具有负折射率单元的微波超材料来实现期望的空间操作功能。通过遵循共聚焦成像算法，我们还探索了微波超材料透镜在3D打印对象的安全检查和切片成像中的应用。我们可以很好地想象在低频下具有高分辨率的高分辨率结果。