Kramers-Kronig relation in a Doppler-broadened A-type three-level system

We measure the absorption and dispersion in a Doppler-broadened A-type three level system by resonant stimulated Raman spectroscopy with homodyne detection. Through studying the dressed state energies of the system, it is found that the absorption and dispersion satisfy the Kramers-Kronig relation. The absorption and dispersion spectra calculated by employing this relation agree well with our experimental observations.