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Ultrafast electron experiments usually work with low-emittance few-electronpulsed beams. The structures are usually much larger than the (average)electron pulse size posing challenges to the resolution of simulations. Wepresent the tracking code FemtoTrack, which allows tackling these multi-scalechallenges in a simple manner. The computationally most heavy interpolation ofthe fields is treated either by a moving window or by a supplemental grid,leading to a significant speedup. Space charge is treated by directparticle-particle interaction within each bunch, where however many bunches canbe simulated in the same window simultaneously. This allows to obtainstatistics similar to what is obtained on the screen in an experiment.FemtoTrack is applied to two examples: An ultrafast nanotip electron source anda length scalable laser-driven electron accelerator on a microchip. In thesesetups, previous results have been reproduced with tremendous speedup, allowingfor parameter scans similar to the tuning of an experiment.

FemtoTrack: A space-charge tracking tool for few-electron ultrashort bunches