Matrix formalism and singular-value decomposition for the location of gamma interactions in segmented HPGe detectors

TL;DR

This paper reviews and proposes matrix-based methods for accurately locating gamma interactions within segmented HPGe detectors by analyzing signal shapes, enabling fast and precise interaction localization even with overlapping signals.

Contribution

It introduces a generic matrix method for efficient and accurate gamma interaction localization in HPGe detectors, improving upon existing analysis techniques.

Findings

Matrix method enables fast interaction localization.

Method handles overlapping signals effectively.

Improves accuracy of gamma-ray trajectory determination.

Abstract

Modern coaxial and planar HPGe detectors allow a precise determination of the energies and trajectories of the impinging gamma-rays. This entails the location of the gamma interactions inside the crystal from the shape of the delivered signals. This paper reviews the state of the art of the analysis of the HPGe response function and proposes methods that lead to optimum signal decomposition. The generic matrix method allows fast location of the interactions even when the induced signals strongly overlap.