Position resolution simulations for the inverted-coaxial germanium detector, SIGMA

The SIGMA Germanium detector has the potential to revolutionise $\gamma$-ray spectroscopy, providing superior energy and position resolving capabilities compared with current large volume state-of-the-art Germanium detectors. The theoretical position resolution of the detector as a function of $\gamma$-ray interaction position has been studied using simulated detector signals. A study of the effects of RMS noise at various energies has been presented with the position resolution ranging from 0.33 mm FWHM at E${}_{\gamma }=1\mathrm{MeV}$, to 0.41 mm at E${}_{\gamma }=150$ keV. An additional investigation into the effects pulse alignment have on pulse shape analysis and in turn, position resolution has been performed. The theoretical performance of SIGMA operating in an experimental setting is presented for use as a standalone detector and as part of an ancillary system.