An unfolding algorithm for high resolution microcalorimetric beta spectrometry

In this work, a matrix inversion algorithm for beta spectrometers is proposed that relies on Monte Carlo simulations of single-energy bin distributions. The algorithm allows for high resolution statistical correction of measured beta spectra and does not lead to underdetermined equation systems. An advantage of the method is that a prior knowledge of the true spectrum is not needed. The algorithm is consistent for unfolding beta spectra measured with Metallic Magnetic Calorimeters that employ 4 π solid angle absorbers. It also shows considerable potential for being applied to microcalorimeters with other absorber geometries.