Coherent transfer matrix analysis of the transmission spectra of Rydberg excitons in Cuprous Oxide

TL;DR

This paper employs a coherent transfer matrix approach to analyze the transmission spectra of Rydberg excitons in Cuprous Oxide, providing more accurate parameters and insights than traditional Beer's law analysis across a broad spectral range.

Contribution

It introduces a comprehensive transfer matrix method for analyzing exciton spectra, improving parameter accuracy over traditional approximations.

Findings

More accurate exciton parameters obtained

Enhanced understanding of indirect transition strengths

Implications for electron-hole pair density estimation

Abstract

In this study 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 Beer's law, which turns out to be a rather good approximation only in the spectral region of high principal quantum numbers, a consistent quantitative description over the whole spectral range under consideration is possible. This leads to new and more accurate parameters not only for the Rydberg exciton states, but also for the strengths of indirect transitions. Furthermore, the results have consequences on the determination of the density of electron-hole pairs after optical excitation.