Application on kramers-kronig relations to the dielectric data

The Kramers-Kronig transformation relating the real and imaginary components of the complex dielectric constant have been used both on empirical functions of dielectric permittivity and on experimental data. One of the numerical integration methods for the Kramers-Kronig transformation is studied and a computer program is written in the Fortran language for the numerical integration method which is called Maclaurin's formula, using the analytical integration of the Lorentzian function as a reference. The results show that there is a good agrement between the numerical Kramers-Kronig transformation and the analytical result.