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We analyze electromagnetic field propagation through a random medium whichconsists of hyperbolic metamaterial domains separated by regions of normal"elliptic" space. This situation may occur in a problem as common as 9micrometer light propagation through a pile of sand, or as exotic aselectromagnetic field behavior in the early universe immediately after theelectro-weak phase transition. We demonstrate that spatial field distributionsin random hyperbolic and random "elliptic" media look strikingly different.This effect may potentially be used to evaluate the magnitude of magneticfields which existed in the early universe.

Light propagation through random hyperbolic media: from a pile of sand to large scale structure of present day universe