  The Kramers-Kronig relations describe a pair of integral transforms relating
the real and imaginary components of an analytic function in the complex plane.
These relations are particularly useful in extracting refractive index
characteristics of a given physical test species, wherein more direct
measurements are not terribly reliable. In this report, a method of performing
this integral transformation is derived and discussed. Special attention is
given to the precision of these methodologies, and a specific implementation of
this in Matlab is presented.
