论文标题
黑洞阴影的超材料类似物：基于折射的时空指数的精确射线追踪模拟
Metamaterial analog of a black hole shadow: An exact ray-tracing simulation based on the spacetime index of refraction
论文作者
论文摘要
在这封信中，我们首先表明，在各向同性坐标中球形对称的空间中的无效测量方程与在平面时段中的各向同性介质中光线轨迹方程相同。基于此类比，我们在这些空间和它们的超材料类似物中介绍了浅射线轨迹的精确模拟，以折射的时空指数。作为不稳定的光轨迹，在这些超材料类似物中形成的光子球在{\ IT完全}的径向距离上与相应的黑洞几何形状所期望的相同。使用相同的射线追踪模拟，我们发现了由Schwarzschild黑洞的超材料类似物形成的简单黑洞阴影的类似物，覆盖了其模拟地平线附近的一系列光源。
In this letter first we show that the equation of null geodesics in spherically symmetric spacetimes in isotropic coordinates is identical to the equation of light ray trajectories in isotropic media in flat spacetime. Based on this analogy we introduce an exact simulation of the light ray trajectories both in these spacetimes and in their metamaterial analogs in terms of the spacetime index of refraction. As unstable light trajectories, the photon spheres form in these metamaterial analogs at {\it exactly} the same radial distances as expected from the corresponding black hole geometries. Using the same ray-tracing simulation we find the analog of a simple black hole shadow formed by the metamaterial analog of a Schwarzschild black hole, eclipsing a line of light sources near its analog horizon.
