三、四双曲等频拓扑双各向异性材料的完全分类
Tri- & Tetra-Hyperbolic Iso-frequncy Topologies Complete Classification of Bi-Anisotropic Materials
摘要：
我们描述了新的拓扑相位的等频k-空间表面的双各向异性光学材料-三，四双曲材料，这是诱导引入手征。这完成了双各向异性材料的等频拓扑的分类，因为正如我们所示，所有的光学材料属于以下拓扑类之一：四，三，双，单或非双曲。我们发现，这些类之间的相变发生在高k-矢量的零群速度的k-空间方向。这种分类是基于由材料支持的高k极化激元（HKP）的集合。我们得到了描述这些集合的方程，并表征了HKP的纵向极化阻抗。
英文摘要：
We describe novel topological phases of iso-frequency k-space surfaces in bi-anisotropic optical materials - tri- and tetra-hyperbolic materials, which are induced by introduction of chirality. This completes the classification of iso-frequency topologies for bi-anisotropic materials, since as we show all optical materials belong to one of the following topological classes: tetra-, tri-, bi-, mono- or non-hyperbolic. We show that phase transitions between these classes occur in the k-space directions with zero group velocity at high k-vectors. This classification is based on the sets of high-k polaritons (HKPs), supported by materials. We obtain the equation describing these sets and characterize the longitudinal polarization impedance of HKPs.
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