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The application of a matrix-based reconstruction protocol for obtainingMolecular Frame (MF) photoelectron angular distributions (MFPADs) fromlaboratory frame (LF) measurements (LFPADs) is explored. Similarly to otherrecent works on the topic of MF reconstruction, this protocol makes use oftime-resolved LF measurements, in which a rotational wavepacket is prepared andprobed via photoionization, followed by a numerical reconstruction routine;however, in contrast to other methodologies, the protocol developed herein doesnot require determination of photoionization matrix elements, and consequentlytakes a relatively simple numerical form (matrix transform making use of theMoore-Penrose inverse). Significantly, the simplicity allows application of themethod to the successful reconstruction of MFPADs for polyatomic molecules. Thescheme is demonstrated numerically for two realistic cases, $N_2$ and $C_2H_4$.The new technique is expected to be generally applicable for a range of MFreconstruction problems involving photoionization of polyatomic molecules.

Molecular Frame Photoelectron Angular Distributions in Polyatomic Molecules from Lab Frame Coherent Rotational Wavepacket Evolution