chemical reactions [@Ihee2001; @Srinivasan2005; @gao], laser induced magnetism [@4DEM], phase transitions [@Baum2007; @Haupt2016; @Ruan2007; @Siwick2003; @Wall2012] and transient molecular alignment [@Reckenthaeler2009].

A number of numerical and experimental studies have produced nanometre and femtosecond resolutions, but not simultaneously. Compact electron imaging systems utilising passive dispersion control have reached temporal resolutions of the order of 100fs [@Gerbig2015; @Badali2016; @Feist2017; @Quinonez2013a] and can reach resolutions down to 20 fs (FWHM) when optimised [@Hoffrogge2014a]. Simulations of active compression of single electron pulses to sub-10 fs have been conducted [@Veisz2007; @Fill2006] albeit with no discussion of spatial or field resolution. Active compression can produce multi-electron pulses of the order of 10 fs, however with temporal resolution limited to tens of femtoseconds due to timing instabilities [@Maxson2017]. Lensless point projection microscopy [@fssingletofew] paired with plasmon driven electron emission from a structured nanoscale metal tip (NSMT) [@Muller2016] could permit comparable temporal and spatial resolutions due to potentially nanometer source-sample distances, limited by the time-bandwidth effects of the driving laser.

In this paper we present the numerical modelling of a novel femtosecond transmission electron microscope (fs-TEM), consisting of a NSMT photoelectron source, electron optics, and detection. Temporal dispersion is compensated both passively and actively. Studies of each beamline 