A method of time-resolved electron microscopy has been developed and a
pplied to the study of the vortex-line dynamics in a type-II supercond
uctor and to the measurement of the elastic properties of nanoscaled m
aterials. Exploiting an electron counting technique, time-dependent el
ectron microscope image beam current, position selected by a probing a
perture in the image plane, is measured as sequentially sampled electr
on counts or a temporal and spatial correlation function which can be
converted to the spectral density function. Experimental techniques of
detectors and correlators, presently allowing the measurement of the
correlation function up to the GHz range, are described. Fundamental e
lectron counting statistics for the measurement of a counting distribu
tion, a power spectral density, and a cross-correlation function are e
xamined using uncorrelated electrons in a beam from a field-emission s
ource. The intrinsic electron correlation due to the second-order cohe
rence appearing in the quest for fast time-resolved observation is als
o discussed with regard to its offering possibilities of interferometr
ic measurements.