  We examine in analytic and numeric ways the imaging effects of temporal
neutron lenses created by traveling magnetic fields. For fields of parabolic
shape we derive the imaging equations, investigate the time-magnification, the
evolution of the phase space element, the gain factor and the effect of finite
beam size. The main aberration effects are calculated numerically. The system
is technologically feasible and should convert neutron time of flight
instruments from pinhole- to imaging configuration in time, thus enhancing
intensity and/or time resolution. New fields of application for high resolution
spectrometry may be opened.
