A sensor apparatus having a sensor unit. The sensor unit including pixel assemblages on a substrate upper side of a substrate located on a lower side of the sensor unit; a cap, on the substrate upper side, which covers the pixel assemblages, a cavity being formed between the substrate upper side and the cap; a plurality of filters that are transparent to wavelength regions that differ from one another, exactly one pixel assemblage being associated with each filter; and the filters being on the cap so that the infrared radiation propagated through an absorption gap of the sensor apparatus and the upper side of the sensor unit is detectable, through the respective filter, by the pixel assemblage associated with the respective filter; and a coating made of a light-absorbing and/or light-reflecting material being configured at least locally on a part of the cap which is not covered by the filters.