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Exact results concerning ray-tracing methods in Plebanski-Tamm media arederived. In particular, Hamilton equations describing the propagation ofquasi-plane wave electromagnetic fields in the geometrical optics regime areexplicitly written down in terms of the 3-metric representing the properties ofthe optical analogue, anisotropic medium. We exemplify our results by obtainingthe trajectories of light in the resulting analogue medium recreating G\"odel'suniverse.

Exact results on analogue gravity in optical Plebanski-Tamm media