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We present energy-resolved photoelectron momentum maps for orbital tomographythat have been collected with a novel and efficient time-of-flight momentummicroscopy setup. This setup is combined with a 0.5 MHz table-top femtosecondextreme-ultraviolet light source, which enables unprecedented speed in datacollection and paves the way towards time-resolved orbital imaging experimentsin the future. Moreover, we take a significant step forward in the dataanalysis procedure for orbital imaging, and present a sparsity-driven approachto the required phase retrieval problem, which uses only the number of non-zeropixels in the orbital. Here, no knowledge of the object support is required,and the sparsity number can easily be determined from the measured data. Usedin the relaxed averaged alternating reflections algorithm, this sparsityconstraint enables fast and reliable phase retrieval for our experimental aswell as noise-free and noisy simulated photoelectron momentum map data.

Efficient orbital imaging based on ultrafast momentum microscopy and sparsity-driven phase retrieval