Spectral analysis of a one-dimensional scattering medium with the differential multiply subtractive Kramers-Kronig method

The differential multiply subtractive Kramers-Kronig (DMSKK) method is utilized for deriving the optical spectral response of a 1D scattering medium. The technique is based on the multiply subtractive Kramers-Kronig technique, where the phase spectrum is reconstructed from the amplitude spectrum in a finite spectral range with the aid of one or more phase-anchoring values. We employ a new phase-anchoring technique in the DMSKK method to partially mitigate the finite-range effects. This method incorporates spectral ballistic imaging to anchor the phase difference (instead of the phase directly) at one or more reference wavelengths. The simplicity of phase derivative measurements and its utilization in the DMSKK method are emphasized by a simple experiment.