Coherent transfer matrix analysis of the transmission spectra of Rydberg excitons in cuprous oxide

In this paper, we analyze the transmission spectrum of a thin plate of cuprous oxide in the range of the absorption of the yellow exciton states with the coherent transfer matrix method. We demonstrate that, in contrast to the usual analysis using the Bouguer-Lambert law, a consistent quantitative description over the whole spectral range under consideration is possible. This leads to more accurate parameters not only for the Rydberg exciton states but also for the strengths of indirect transitions. Furthermore, the results have consequences for the interaction of Rydberg excitons with other systems, e.g., Rydberg states themselves or for the determination of the density of electron-hole pairs after optical excitation.