Light propagation through random hyperbolic media: from a pile of sand
  to large scale structure of present day universe
  We analyze electromagnetic field propagation through a random medium which
consists of hyperbolic metamaterial domains separated by regions of normal
"elliptic" space. This situation may occur in a problem as common as 9
micrometer light propagation through a pile of sand, or as exotic as
electromagnetic field behavior in the early universe immediately after the
electro-weak phase transition. We demonstrate that spatial field distributions
in random hyperbolic and random "elliptic" media look strikingly different.
This effect may potentially be used to evaluate the magnitude of magnetic
fields which existed in the early universe.
