Exact results concerning ray-tracing methods in Plebanski-Tamm media are derived. In particular, Hamilton equations describing the propagation of quasi-plane wave electromagnetic fields in the geometrical optics regime are explicitly written down in terms of the 3-metric representing the properties of the optical analog, anisotropic medium. We exemplify our results by obtaining the trajectories of light in the resulting analog medium recreating Gödel’s universe.

中文翻译：

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光学 Plebanski-Tamm 媒体中模拟重力的精确结果

推导出了有关 Plebanski-Tamm 媒体中光线追踪方法的准确结果。特别是，描述几何光学体系中准平面波电磁场传播的哈密顿方程根据表示光学模拟、各向异性介质的属性的 3 度量明确写下来。我们通过在重现哥德尔宇宙的模拟介质中获得光的轨迹来举例说明我们的结果。