Methods for solving problems on the determination of optical constants from the absorption and reflection spectra by the Kramers–Kronig analysis

Abstract

The historical aspect of the origin of the Kramers-Kronig dispersion relations is considered. The theoretical basis of the Kramers-Kronig analysis is shown, namely, the dielectric susceptibility function is a fundamental function of the linear response, since it is obtained from the motion equation of the oscillator in an external field in the microscopic electromagnetic Lorentz’s theory. Two aspects of the application of the Kramers-Kronig relationships and related ratios in spectroscopy are shown – the determination of the optical characteristics of the absorbing medium from the absorption (transmission) spectra and reflection spectra. A new approach to the application of the Kramers-Kronig relations is proposed, to some extent, – a verification of known reference data on the optical constants of well-studied materials, crystals, glasses, and other