The properties of the photonic spin Hall effect (PSHE) excited in a prism-coupling waveguide with hyperbolic metamaterial (HMM) are investigated theoretically. The proposed waveguide is composed of four layers including a prism, HMM, thin metal, and air. Both type I and type II HMMs can be created through multilayer realization comprising alternating subwavelength layers of plasma and dielectric or by embedding plasma in a host dielectric matrix, and they are both considered in this study. Our results reveal that the horizontal PSHE shifts in the type I HMM waveguide are significantly suppressed, whereas the horizontal PSHE shifts in the type II HMM waveguide can be enhanced by more than 20 times. The results show that the behavior of vertical PSHE shifts in both types of HMM waveguides are similar and significantly suppressed. The results also show that the HMM and metal layer thicknesses extremely alter the PSHE shifts, especially for the horizontal PSHE shifts in the type II HMM waveguide. Furthermore, the PSHE shifts with different operating wavelengths are calculated and discussed. In addition, the optimal parameters for achieving huge PSHE shifts are explored and presented.

中文翻译：

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通过使用双曲超材料的棱镜耦合波导可调节的光子自旋霍尔效应的调制

理论上研究了双曲超材料（HMM）在棱镜耦合波导中激发的光子自旋霍尔效应（PSHE）的特性。所提出的波导由四层组成，包括棱镜，HMM，薄金属和空气。I型和II型HMM均可通过包括等离子体和电介质的交替亚波长层的多层实现，或通过将等离子体嵌入主体电介质矩阵中来创建，它们均在本研究中得到了考虑。我们的结果表明，I型HMM波导中的水平PSHE偏移得到了显着抑制，而II型HMM波导中的水平PSHE偏移可以提高20倍以上。结果表明，在两种类型的HMM波导中，垂直PSHE位移的行为均相似且受到明显抑制。结果还表明，HMM和金属层的厚度极大地改变了PSHE位移，特别是对于II型HMM波导中的水平PSHE位移。此外，计算和讨论了不同工作波长下的PSHE位移。此外，探索和介绍了实现巨大PSHE偏移的最佳参数。