Extending X-ray spectral-domain ghost imaging to optically thick samples

The recent development of attosecond pulses from an X-ray free electron laser has enabled a new technique using spectral domain ghost imaging (spooktroscopy) to analyze data from transient absorption spectroscopy (ATAS) for gas molecules. In this work, we introduce a variation of this correlation-based method that will allow for studying optically thick media. This new setup uses ghost imaging to reconstruct the absorption spectrum by correlating the shot-to-shot changes in the total yield of incident x-ray energy with the shot-to-shot variation in the transmitted spectrum. In simulation we inspect the dependence of the reconstruction on numerous experimental parameters.