To achieve cloaking, one needs to ensure that light rays (beyond geometric optics it is impossible to produce perfect invisibility [449, 690]) effectively behave as if they were propagating in Minkowski spacetime, although in reality they are bending around the invisible compact region. One way of producing this is, precisely, to make rays propagate in Minkowski spacetime but using non-Cartesian coordinates. Take the Minkowski metric in some Cartesian coordinates , , and apply a diffeomorphism, which is different from the identity only inside the compact region. One then obtains a different representation of the flat geometry. Now take the to be the Cartesian coordinates of the real laboratory spacetime, and build this metric with the meta-material. By construction, the scattering process with the compact region will not change the directions of the rays, making everything within the compact region invisible. Recent implementations of these ideas have investigated the concept of a “spacetime cloak” or “history editor” that cloaks a particular event, not a particular region .
To end this brief account we would like to highlight the broad scope of application of these ideas: Essentially the cloaking techniques can be applied to any sort of wave, from acoustic cloaking  to earthquake damage prevention . More radically, and with enough civil engineering, one might adapt the ideas of Berry [67, 68] to anti-tsunami cloaking.
Living Rev. Relativity 14, (2011), 3
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