  We review the design, simulation, and tests, of a detection system for
measuring the energy distribution of daughter nuclei recoiling from the
beta-decay of laser trapped neon isotopes. This distribution is sensitive to
several new physics effects in the weak sector. Our `decay microscope' relies
on imaging the velocity distribution of high energy recoil ions in coincidence
with electrons shaken-off in the decay. We demonstrate by way of Monte-Carlo
simulation, that the nuclear microscope increases the statistical sensitivity
of kinematic measurements to the underlying energy distribution, and limits the
main systematic bias caused by discrepancy in the trap position along the
detection axis.
