运动介质中的波散射
Wave Scattering in Moving Media across the Subluminal-Interluminal Regimes
摘要：
本文从几个方面扩展了有界运动介质对电磁波散射的现有认识。首先，它用同样重要的阻抗关系$η(θ_\mathbf{S})$（$θ_\mathbf{S}$：群速度方向，与坡印廷矢量$\mathbf{S}$相关）补充了运动介质的通常色散关系$ω(θ_\mathbf{k})$（$θ_\mathbf{k}$：相速度方向，与波矢量$\mathbf{k}$相关）。其次，它解释了双下游波穿过规则介质和运动介质之间的静止界面的跨腔区现象，假设运动垂直于界面，并表明相关波在能量折射角方面是对称的，而在相位折射角方面是不对称的，其中一个波受到负折射，并且示出了两个发射波的波阻抗相等。第三，它将问题推广到介质相对于界面倾斜移动的情况。最后，它强调了这个问题和时空调制介质之间的联系。
英文摘要：
This paper extends current knowledge on electromagnetic wave scattering from bounded moving media in several regards. First, it complements the usual dispersion relation of moving media, $ω(θ_\mathbf{k})$ ($θ_\mathbf{k}$: phase velocity direction, associated with the wave vector, $\mathbf{k}$), with the equally important impedance relation, $η(θ_\mathbf{S})$ ($θ_\mathbf{S}$: group velocity direction, associated with the Poynting vector, $\mathbf{S}$). Second, it explains the interluminal-regime phenomenon of double-downstream wave transmission across a stationary interface between a regular medium and the moving medium, assuming motion perpendicular to the interface, and shows that the related waves are symmetric in terms of the energy refraction angle, while being asymmetric in terms of the phase refraction angle, with one of the waves subject to negative refraction, and shows that the wave impedances of the two transmitted waves are equal. Third, it generalizes the problem to the case where the medium moves obliquely with respect to the interface. Finally, it highlights the connection between this problem and a spacetime modulated medium.
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