With the rapid development of optoelectronics, methods for manipulating light–matter interactions are urgently required. In this work, three-dimensional double split-ring resonators (3D-DSRRs) have been designed via a metal-stress-driven self-folding method. The 3D-DSRRs eliminate the electric response from the meta-atoms and exhibit a magnetic dipole moment radiation power that is 1244.6-fold greater than that of two-dimensional metamaterials. By tailoring of the 3D-DSRR periodicity, the permeability is shown to vary from positive to zero, even reaching negative values under normal incidence. This strain engineering strategy provides an efficient method for designing and fabricating three-dimensional metamaterials and for increasing the variety of light–matter interactions in the mid-infrared region.

中文翻译：

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具有垂直入射的垂直双开口环谐振器的负磁导率的实现

随着光电子学的飞速发展，迫切需要操纵光与物质相互作用的方法。在这项工作中，通过金属应力驱动的自折叠方法设计了三维双开口环谐振器（3D-DSRR）。3D-DSRR消除了来自亚原子的电响应，并展现出比二维超材料大1244.6倍的磁偶极矩辐射功率。通过调整3D-DSRR周期性，可以看到渗透率从正到零变化，甚至在法向入射下也达到负值。这种应变工程策略为设计和制造三维超材料提供了一种有效的方法，并增加了中红外区域中光-物质相互作用的多样性。