Layered semiconductor hyperbolic metamaterials (HMMs) are composite materials composed of alternating subwavelength-doped (metal) and undoped (dielectric) semiconductor layers. These materials support the propagation of light with large wave vectors through modes called volume plasmon polaritons (VPPs). In this paper, we use finite-element modeling and effective medium analysis (EMA) to investigate how the number of periods, the period thickness, and the overall HMM thickness affect the VPP mode-resonant wavelengths. We show that the overall HMM thickness has a larger impact on shifting the resonant wavelengths of the VPP modes than the subwavelength structure. We also show that the main limitation of EMA for this application is an inability to account for the boundary conditions at the substrate.

中文翻译：

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控制高k模共振波长的双曲超材料的结构参数

层状半导体双曲线超材料（HMM）是由交替掺杂亚波长（金属）和未掺杂（介电）的半导体层组成的复合材料。这些材料通过称为体积等离振子极化子（VPP）的模式支持具有大波矢的光的传播。在本文中，我们使用有限元建模和有效介质分析（EMA）来研究周期数，周期厚度和整个HMM厚度如何影响VPP模谐振波长。我们显示，总的HMM厚度比亚波长结构对VPP模式的谐振波长的偏移有更大的影响。我们还表明，此应用的EMA的主要局限性是无法解决基材的边界条件。