Sensor system comprising a) a LiDAR sensor which emits laser light having a wavelength in the range from 800 to 1600 nm, and b) a cover which partially or completely surrounds the LiDAR sensor and which is intended to be transradiated by the laser light, comprising a multilayer body comprising in this order i) a substrate layer comprising a thermoplastic composition based on aromatic polycarbonate having a melt volume rate MVR of 8 to 20 cm 3 /(10 min), determined according to ISO 1133-1:2012-03 (300°C, 1.2 kg), wherein the composition has a light transmission in the range from 380 to 780 nm of less than 25.0%, determined at a layer thickness of 4 mm according to DIN ISO 13468-2:2006 (D65, 10°) and wherein the substrate layer in its respective thickness has a transmission for IR radiation in the range from 800 nm to 1600 nm of at least 40%, determined according to DIN ISO 13468-2:2006, and ii) optionally a primer layer based on polymethyl methacrylate and comprising at least one UV absorber, iii) a polysiloxane-based topcoat layer comprising a combination of an organically modified silane with a silica sol, the topcoat layer comprising silicon dioxide particles having a D 90, determined by means of scanning transmission electron microscopy, of less than 0.50 μm and comprising no further particles having a D 90, determined by means of scanning transmission electron microscopy, ≥ 0.50 pm, where the topcoat layer is on the side of the substrate layer which is opposite the side of the substrate layer on which the LiDAR sensor is disposed. a) a LiDAR sensor which emits laser light having a wavelength in the range from 800 to 1600 nm, and b) a cover which partially or completely surrounds the LiDAR sensor and which is intended to be transradiated by the laser light, comprising a multilayer body comprising in this order i) a substrate layer comprising a thermoplastic composition based on aromatic polycarbonate having a melt volume rate MVR of 8 to 20 cm 3 /(10 min), determined according to ISO 1133-1:2012-03 (300°C, 1.2 kg), wherein the composition has a light transmission in the range from 380 to 780 nm of less than 25.0%, determined at a layer thickness of 4 mm according to DIN ISO 13468-2:2006 (D65, 10°) and wherein the substrate layer in its respective thickness has a transmission for IR radiation in the range from 800 nm to 1600 nm of at least 40%, determined according to DIN ISO 13468-2:2006, and ii) optionally a primer layer based on polymethyl methacrylate and comprising at least one UV absorber, iii) a polysiloxane-based topcoat layer comprising a combination of an organically modified silane with a silica sol, the topcoat layer comprising silicon dioxide particles having a D 90, determined by means of scanning transmission electron microscopy, of less than 0.50 μm and comprising no further particles having a D 90, determined by means of scanning transmission electron microscopy, ≥ 0.50 pm, i) a substrate layer comprising a thermoplastic composition based on aromatic polycarbonate having a melt volume rate MVR of 8 to 20 cm 3 /(10 min), determined according to ISO 1133-1:2012-03 (300°C, 1.2 kg), wherein the composition has a light transmission in the range from 380 to 780 nm of less than 25.0%, determined at a layer thickness of 4 mm according to DIN ISO 13468-2:2006 (D65, 10°) and wherein the substrate layer in its respective thickness has a transmission for IR radiation in the range from 800 nm to 1600 nm of at least 40%, determined according to DIN ISO 13468-2:2006, and wherein the composition has a light transmission in the range from 380 to 780 nm of less than 25.0%, determined at a layer thickness of 4 mm according to DIN ISO 13468-2:2006 (D65, 10°) and wherein the substrate layer in its respective thickness has a transmission for IR radiation in the range from 800 nm to 1600 nm of at least 40%, determined according to DIN ISO 13468-2:2006, and ii) optionally a primer layer based on polymethyl methacrylate and comprising at least one UV absorber, iii) a polysiloxane-based topcoat layer comprising a combination of an organically modified silane with a silica sol, the topcoat layer comprising silicon dioxide particles having a D 90, determined by means of scanning transmission electron microscopy, of less than 0.50 μm and comprising no further particles having a D 90, determined by means of scanning transmission electron microscopy, ≥ 0.50 pm,