双曲透镜的闵可夫斯基空间建模
Minkowski-Space Modeling of Hyperbolic Lenses
AI总结：
本文提出利用闵可夫斯基空间描述双曲材料波传播，揭示其复杂性源于几何而非物理因素，建立合理设计框架，推导传输函数和分辨率极限，实现超大数值孔径和深亚衍射聚焦。
摘要：
双曲材料的极端各向异性使波限制达到极值，但同时也导致相位与能量流的固有不匹配，使设备建模和设计复杂化。本文引入闵可夫斯基空间方法描述双曲波传播，表明这种复杂性是几何而非物理的。通过将各向异性嵌入有效洛伦兹度量中，我们建立了双曲界面和透镜的合理设计框架，并解析推导其传输函数和分辨率极限，实现超大数值孔径和深亚衍射聚焦。我们通过设计和全波建模一个平面范德瓦耳斯极子透镜，在中红外频率范围内验证了我们的理论。
英文摘要：
The extreme anisotropy of hyperbolic materials enables extreme wave confinement, but it is also associated with an inherent misalignment between phase and energy flow, which complicates device modeling and design. Here we introduce a Minkowski-space approach to describe hyperbolic wave propagation, showing that this complexity is geometric rather than physical. By embedding anisotropy into an effective Lorentzian metric, we establish a rational design framework for hyperbolic interfaces and lenses, and analytically derive their transfer function and resolution limits, enabling ultra-large numerical apertures and deep sub-diffraction focusing. We validate our theory with the design and full-wave modeling of a planar van der Waals polaritonic lens operating in the mid-infrared frequency range.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
