We examine the surface phonon polaritons established on resonance between lossy silicon carbide and vacuum over the Reststrahlen frequency range. To this goal, we investigate two waves counter-propagating along a planar material interface in terms of the orbital and spin parts of the Poynting vector. Vortices of the spin part are thus found to be generated near the collision point of the two waves. In addition, vortex pairs of opposite circulations are identified near the material interface. The locality of the electric permittivity plays an essential role in enabling our simple analysis by neglecting the spatial propagations of phonons while keeping the material damping. The resulting dynamics of the total displacement field turns out to be loss-free in the middle of the lossy dynamics of the other field variables, thus exhibiting a superfluid-like feature in an otherwise normal fluid.

中文翻译：

---

具有材料损失的表面声子极化子的两个反向传播波形成的涡流

我们检查了在 Reststrahlen 频率范围内在有损碳化硅和真空之间共振时建立的表面声子极化子。为此，我们根据坡印廷矢量的轨道和自旋部分研究了沿平面材料界面反向传播的两个波。因此发现自旋部分的涡流在两个波的碰撞点附近产生。此外，在材料界面附近识别出相反循环的涡旋对。介电常数的局域性在通过忽略声子的空间传播同时保持材料阻尼来实现我们的简单分析方面起着至关重要的作用。结果表明，在其他场变量的有损动态中间，总位移场的动态结果是无损失的，