The data associated with this paper is as follows; the input parameters used to benchmark the analysis routine, the code necessary to generate this input spectra and the reconstructed parameters from which the analysis routine is benchmarked and the mathematica notebook outlining the derivation of the reconstruction equations. The core analysis routine is not provided. The readme for each file is included as a file and contains detailed information on python libraries used for the code, and the necessary program from running the mathematica notebook.This work was funded by QST-IRI, QST President’s Strategic Grant (Creative Research), and JSPS KAKENHI grant number JP19H00669, and the EPSRC grant num-ber EP/R006202/1.