A simple method for the Kramers-Kronig analysis of reflectance spectra measured with diamond anvil cell

When the optical reflectance spectrum of a sample under high pressure is studied with a diamond anvil cell, it is measured at a sample/diamond interface. Due to the large refractive index of diamond, the resulting reflectance Rd(w) may substantially differ from that measured in vacuum. To obtain optical constants from Rd(w), therefore, the usual Kramers-Kronig (KK) transform cannot be straightforwardly applied, and either a spectral fitting or a modified KK transform has been used. Here we describe an alternative method to perform KK analysis on Rd(w). This method relies on the usual KK transform with an appropriate cutoff and extrapolation to Rd(w), and may offer a simpler approach to obtain infrared conductivity from measured Rd(w).