Rollable photonic devices that can adapt to freeform surfaces with reduced dimensions while maintaining their original functionalities are highly desirable. Among photonic devices, metamaterials with hyperbolic dispersion in momentum space, defined as hyperbolic metamaterial (HMM), possess a large photonic density of states that has been proven to boost light-matter interaction. However, these devices are mainly developed on rigid substrates, restricting their functionalities. Here, we present the attempt to integrate flexible and rollable HMMs consisting of polymer and metal multilayers on paper substrate. Quite interestingly, this design enables to exhibit high photonic density of states and scattering efficiency to enhance stimulated emission and induce pronounced laser action. The flexible and rollable HMM structure remains well its functionalities on freeform surfaces with curvature radius of 1 mm, and can withstand repeated bending without performance degradation. The intensity of laser action is enhanced by 3.5 times as compared to the flat surface. We anticipate that this flexible and rollable HMM structure can serve as a diverse platform for flexible photonic technologies, such as light-emitting devices, wearable optoelectronics, and optical communication.

在保持其原始功能的同时，能够适应尺寸减小的自由曲面的可滚动光子装置是非常需要的。在光子器件中，动量空间中具有双曲线分散性的超材料（定义为双曲线超材料（HMM））具有很高的光子态密度，已证明可促进光与物质的相互作用。但是，这些设备主要在刚性基板上开发，从而限制了它们的功能。在这里，我们提出了在纸质基材上整合由聚合物和金属多层组成的柔性可卷曲HMM的尝试。非常有趣的是，这种设计能够表现出高的光子密度和散射效率，从而增强受激发射并引起明显的激光作用。柔性且可卷曲的HMM结构在曲率半径为1 mm的自由曲面上保持良好的功能，并且可以承受反复弯曲而不会降低性能。与平坦表面相比，激光作用的强度提高了3.5倍。我们预计，这种灵活且可卷曲的HMM结构可以用作灵活的光子技术的多样化平台，例如发光器件，可穿戴光电和光通信。