= 0.15 m (convergence angle of 1 mrad), z = 0.125 m (2 mrad), z = 0.11 m (5 mrad) and z = 0.105 m (10 mrad), indicated by dashed lines. (a) Initial duration of 2$\sigma$(t) = 100 fs. (b) Initial duration of 2$\sigma$(t) = 10 fs. (c) Initial duration of 2$\sigma$(t) = 1 fs. The 2$\sigma$(t) scale is comparable between panels. []{data-label="fig:fig3"}](fig3.jpg)

Electrons pulses are created with 1, 10 and 100 electrons per pulse, for durations of 100, 10 and 1 fs, shown in figure 3(a - c) respectively. These 70 keV pulses are initially collimated and a solenoid lens at z = 0.1 m focuses with convergence angles varying from 1 to 10 mrad. Some temporal stretching is observed between z = 0 and 0.1 m, and is most dramatic for the shortest pulse and highest charge.

In the case of the longest electron pulses, as apparent in figure 3(a), 100 fs electron pulses are distorted a relatively moderate amount. The electron pulse is observed to increase in duration, with the most obvious influence on the pulse containing the highest charge. As seen in figure 3(b), a 10 fs pulse with charge between 1 and 100e increases in 