The decay of eddy currents in magnetic electron lenses poses a fundame
ntal limit to their speed of operation. The effect of eddy currents on
the focusing properties of an electron lens is considered and it is s
hown that response of the lens field to excitation can be well approxi
mated as a linear system. Using Fourier transform techniques, the tran
sfer function of the lens is derived from a measurement of the peak ax
ial field in response to step-like excitation from which the necessary
excitation to achieve a specific transient response can be calculated
. For practical implementation, the design of analogue pre-emphasis fi
lters to improve the transient response of magnetic lenses is presente
d. The procedure involves approximating the step response of the lens
field by exponential functions to derive the transfer function of the
filter.