制图失真使得电介质时空模拟模型成为不完美的模仿者
Cartographic distortions make dielectric spacetime analog models imperfect mimickers
摘要：
通常假设，如果电介质的光学度量与真空时空的度量相同，则通过电介质的光传播模仿真空中的光传播。然而，就像地球的曲面不能映射到一个平面上而不引起某些表面特征的扭曲一样，光的行为也不可能从真空投射到存在于闵可夫斯基时空中的电介质模拟物上而不引入扭曲。我们研究的电介质模拟时空的协方差特性和运动学的光的一致性的模拟，并显示某些功能可以忠实地模拟在模拟取决于投影的选择，但不是所有的功能可以同时模拟没有失真。这些研究结果表明，概念上的弱点，使用模拟时空作为基础的变换光学的想法，我们表明，一定的配方密切相关的变换光学模拟时空解决了这些问题。
英文摘要：
It is commonly assumed that if the optical metric of a dielectric medium is identical to the metric of a vacuum space-time then light propagation through the dielectric mimics light propagation in the vacuum. However, just as the curved surface of the Earth cannot be mapped into a flat plane without distortion of some surface features, so too is it impossible to project the behavior of light from the vacuum into a dielectric analog residing in Minkowski space-time without introducing distortions. We study the covariance properties of dielectric analog space-times and the kinematics of a congruence of light in the analog, and show how certain features can be faithfully emulated in the analog depending on the choice of projection, but that not all features can be simultaneously emulated without distortion. These findings indicate conceptual weaknesses in the idea of using analog space-times as a basis for transformation optics, and we show that a certain formulation of transformation optics closely related to analog space-times resolves these issues.
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