A class of strongly anisotropic materials
having their principal
elements of dielectric permittivity or magnetic permeability tensors
of opposite signs, so-called indefinite or hyperbolic materials, has
recently attracted significant attention. These materials enabled
such novel properties and potential applications as all-angle negative
refraction, high density of states, and imaging beyond the diffraction
limit using a so-called hyperlens. While several studies identified
a few examples of negative refractions in birefringent crystals existing
in nature, the majority of optical materials with hyperbolic dispersion
relations known to date are engineered composite materials, “metamaterials”,
such as metal-dielectric subwavelength multilayered structures or
metal nanowires in a dielectric matrix. In this paper, we investigate
naturally existing hyperbolic materials with indefinite permittivity
for a range of frequencies from terahertz to ultraviolet. These include
graphite, MgB2, cuprate, and ruthenate. Spectroscopic ellipsometry
is used to characterize the dielectric properties of graphite and
MgB2, and a fitting method based on reflectance spectra
is used to determine the indefinite permittivity of the cuprate and
ruthenate. Lastly, we discuss the mechanisms behind indefinite properties
of these materials.