This paper mainly studies the influence of multilayer hyperbolic metamaterials (HMMs) with different structural parameters on the intensity of spontaneous radiation of quantum wells, thereby improving the coupling efficiency of incident electromagnetic waves and free electrons on metal nano-surfaces. In this paper, numerical simulations of visible light bands of 450–700 nm of Ag, Au, and Cu thin films are performed. The local field enhancements of multilayer HMMs with different shapes are compared, and it is found that circle Ag/Si multilayer HMMs have stronger field enhancement effects than other structures. At the same time, Purcell analysis was performed by changing various parameters of multilayer HMMs. It is found that the thickness of the metal/dielectric layer, the distance between the dipole and the HMMs, and the length of the multilayer HMMs change the intensity of the plasmon resonance radiation and have a great impact on the position of the resonance wavelength.

本文主要研究具有不同结构参数的多层双曲线超材料（HMM）对量子阱自发辐射强度的影响，从而提高金属纳米表面上入射电磁波和自由电子的耦合效率。在本文中，对Ag，Au和Cu薄膜在450-700 nm的可见光波段进行了数值模拟。比较了不同形状的多层HMM的局部场增强，发现圆形的Ag / Si多层HMM比其他结构具有更强的场增强作用。同时，通过改变多层HMM的各种参数进行Purcell分析。发现金属/电介质层的厚度，偶极子与HMM之间的距离，