两个线偏振引力平面波碰撞的分段均匀超材料模型
Towards a piecewise-homogeneous metamaterial model of the collision of two linearly polarized gravitational plane waves
摘要：
我们认为实验实现的Tamm介质是光学等效的两个线性偏振的引力平面波的碰撞作为一个分段均匀的超材料。我们的配方是基于均匀化的各向同性介电磁介质的定向椭球形纳米颗粒的非常简单的安排。逆Bruggeman均匀化被用来估计的组成介质的本构参数，体积分数和形状参数。所提出的公式适用于两个引力平面波相互作用的时空区域，不包括两个平面波聚焦点处非奇异Killing-Cauchy视界的紧邻区域。
英文摘要：
We considered the experimental realization of a Tamm medium that is optically equivalent to the collision of two linearly polarized gravitational plane waves as a piecewise homogeneous metamaterial. Our formulation was based on the homogenization of remarkably simple arrangements of oriented ellipsoidal nanoparticles of isotropic dielectric-magnetic mediums. The inverse Bruggeman homogenization was used to estimate the constitutive parameters, volume fractions, and shape parameters for the component mediums. The presented formulation is appropriate for the regions of spacetime where the two gravitational plane waves interact, excluding the immediate vicinity of the nonsingular Killing-Cauchy horizon at the focusing point of the two plane waves.
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