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In germanium-based light detectors for scintillating bolometers, a SiO$_2$anti-reflective coating is often applied on the side of the germanium waferexposed to light with the aim to improve its light collection efficiency. Inthis paper, we report about a measurement, performed in the temperature range25-35 mK, of the light-collection increase obtained thanks to this method,which resulted to be of the order of 20%. The procedure followed has beencarefully selected in order to minimize systematic effects. The employed lightsources have the same spectral features (peaking at $\sim 630$ nm wavelength)that will characterise future neutrinoless double beta decay experiments on theisotope $^{82}$Se and based on ZnSe crystals, such as LUCIFER. The couplingbetween source and light detector reproduces the configuration used inscintillating bolometers. The present measurement clarifies the role of SiO$_2$coating and describes a method and a set-up that can be extended to the studyof other types of coatings and luminescent materials.

Effect of SiO2 coating in bolometric Ge light detectors for rare event searches